{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With this notebook you can reproduce the results from the paper
**X-ray irradiation and evaporation of the four young planets around V1298 Tau - Poppenhaeger, Ketzer, Mallonn (2020)**\n",
"."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Import"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"import sys\n",
"import os\n",
"\n",
"# Planet Class\n",
"sys.path.append('../platypos_package/')\n",
"from Planet_class_LoFo14_PAPER import planet_LoFo14_PAPER # this is the code with fixed step size\n",
"from Planet_class_LoFo14 import planet_LoFo14 # this is the code with variable step size\n",
"from Planet_class_Ot20_PAPER import planet_Ot20_PAPER # this is the code with fixed step size\n",
"from Planet_class_Ot20 import planet_Ot20 # this is the code with variable step size\n",
"import Planet_models_LoFo14 as plmo14\n",
"import Planet_model_Ot20 as plmoOt20\n",
"from Lx_evo_and_flux import Lx_evo, flux_at_planet_earth\n",
"\n",
"# for evolving more than one planet\n",
"sys.path.append(os.getcwd().split(\"gitlab\")[0]+'gitlab/platypos/population_evolution/')\n",
"from evolve_planet import evolve_one_planet, evolve_ensamble\n",
"from create_planet_chunks import create_planet_chunks\n",
"from create_summary_files import create_summary_files_with_final_planet_parameters\n",
"from read_in_PLATYPOS_population_results import read_results_file, read_in_PLATYPOS_results, read_in_PLATYPOS_results_dataframe\n",
"\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib as mpl\n",
"import matplotlib\n",
"matplotlib.rcParams.update({'font.size': 18, 'legend.fontsize': 14})\n",
"mpl.rcParams['axes.linewidth'] = 1.1 #set the value globally\n",
"from matplotlib.ticker import ScalarFormatter, FormatStrFormatter\n",
"import matplotlib.ticker as ticker\n",
"\n",
"from astropy import constants as const\n",
"from astroquery.nasa_exoplanet_archive import NasaExoplanetArchive\n",
"from PyAstronomy import pyasl\n",
"from sklearn.neighbors import KernelDensity\n",
"\n",
"p = \"../supplementary_files/\"\n",
"# Tu et al. (2015) - model tracks\n",
"blueTu15 = pd.read_csv(p+'Lx_blue_track.csv')\n",
"redTu15 = pd.read_csv(p+'Lx_red_track.csv')\n",
"greenTu15 = pd.read_csv(p+'Lx_green_track.csv')\n",
" \n",
"# Jackson et al. (2012) - Lx sample\n",
"jack12 = pd.read_csv(p+\"Jackson2012_Lx_clean.csv\")\n",
"\n",
"def read_results_file(path, filename):\n",
" # read in results files\n",
" df = pd.read_csv(path+filename)\n",
" t, M, R, Lx = df[\"Time\"].values, df[\"Mass\"].values, df[\"Radius\"].values, df[\"Lx\"].values\n",
" return t, M, R, Lx"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Present V1298 Tau parameters, $L_x$ evolutionary tracks, and planet models\n",
"First we need to define all the necessary system parameters.
\n",
"This includes the host star parameters, parameters to set the shape of the assumed future $L_x$ evolutionary tracks, and the planets themselves.
\n",
"To model the radius evolution of the planets we use the results from *Lopez & Fortney (2014)* and *Otegi et al. (2020)*."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# Stellar Parameters (David et al. 2019, Chandra observation):\n",
"#L_sun = const.L_sun\n",
"L_bol = 0.934 # in L_sun;\n",
"mass_star, radius_star = 1.101, 1.345 # solar units\n",
"age_star = 23. # Myr\n",
"Lx_age = Lx_chandra = 1.3e30 # erg/s in energy band: (0.1-2.4 keV), error +- 1.4e29\n",
"Lx_age_error = 1.4e29\n",
"# use dictionary to store star-parameters\n",
"star_V1298Tau = {'star_id': 'V1298Tau', 'mass': mass_star, 'radius': radius_star, 'age': age_star, 'L_bol': L_bol, 'Lx_age': Lx_age}\n",
"age = star_V1298Tau[\"age\"]\n",
"\n",
"# Lx evolutionary tracks:\n",
"# create dictionaries with all the values necessary to define the evolutionary paths\n",
"# this includes: starting age, saturation age, two fixed ages at 1 & 5 Gyr which are set by the Tu et al. (2015) model tracks, \n",
"# and (if wanted) a time interval in which and factor by which Lx drops.\n",
"Lx_1Gyr, Lx_5Gyr = 2.10*10**28, 1.65*10**27 # Lx value at 1 and 5 Gyr from Tu et al. (2015) model tracks\n",
"\n",
"track1 = {\"t_start\": age, \"t_sat\": 240., \"t_curr\": 1000., \"t_5Gyr\": 5000., \"Lx_max\": Lx_age, \"Lx_curr\": Lx_1Gyr, \"Lx_5Gyr\": Lx_5Gyr, \"dt_drop\": 0., \"Lx_drop_factor\": 0.}\n",
"track2 = {\"t_start\": age, \"t_sat\": age, \"t_curr\": 1000., \"t_5Gyr\": 5000., \"Lx_max\": Lx_age, \"Lx_curr\": Lx_1Gyr, \"Lx_5Gyr\": Lx_5Gyr, \"dt_drop\": 0., \"Lx_drop_factor\": 0.}\n",
"track3 = {\"t_start\": age, \"t_sat\": age, \"t_curr\": 1000., \"t_5Gyr\": 5000., \"Lx_max\": Lx_age, \"Lx_curr\": Lx_1Gyr, \"Lx_5Gyr\": Lx_5Gyr, \"dt_drop\": 20., \"Lx_drop_factor\": 16.}\n",
"list_tracks = [track1, track2, track3]\n",
"\n",
"# these are the tracks with upper and lower value of the current Lx\n",
"track1_lower = track1.copy()\n",
"track1_lower[\"Lx_max\"] = Lx_age-Lx_age_error\n",
"track2_lower = track2.copy()\n",
"track2_lower[\"Lx_max\"] = Lx_age-Lx_age_error\n",
"track3_lower = track3.copy()\n",
"track3_lower[\"Lx_max\"] = Lx_age-Lx_age_error\n",
"list_tracks_lower = [track1_lower, track2_lower, track3_lower]\n",
"\n",
"track1_upper = track1.copy()\n",
"track1_upper[\"Lx_max\"] = Lx_age+Lx_age_error\n",
"track2_upper = track2.copy()\n",
"track2_upper[\"Lx_max\"] = Lx_age+Lx_age_error\n",
"track3_upper = track3.copy()\n",
"track3_upper[\"Lx_max\"] = Lx_age+Lx_age_error\n",
"list_tracks_upper = [track1_upper, track2_upper, track3_upper]\n",
"\n",
"# additional tracks could look like this (different t_sat)\n",
"#track2_2 = {\"t_start\": age, \"t_sat\": 70., \"t_curr\": 1000., \"t_5Gyr\": 5000., \"Lx_max\": Lx_age, \"Lx_curr\": Lx_1Gyr, \"Lx_5Gyr\": Lx_5Gyr, \"dt_drop\": 20., \"Lx_drop_factor\": 5.}\n",
"#track2_3 = {\"t_start\": age, \"t_sat\": 100., \"t_curr\": 1000., \"t_5Gyr\": 5000., \"Lx_max\": Lx_age, \"Lx_curr\": Lx_1Gyr, \"Lx_5Gyr\": Lx_5Gyr, \"dt_drop\": 0., \"Lx_drop_factor\": 0.}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot current V1298 Tau $L_x$ & evolutionary tracks"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(10,6))\n",
"#ax.set_title('$L_x$ evolution for different \"evolutionary tracks\"')\n",
"\n",
"# plot Tu15 tracks (for a Sun-like star!)\n",
"ax.plot(blueTu15[\"time\"], blueTu15[\"Lx\"], marker=\"None\", linestyle=\":\", color=\"blue\", linewidth=2.5, alpha=0.6, label=\"__nolabel__\")#, label=\"fast rot. (solar model)\")\n",
"ax.plot(redTu15[\"time\"], redTu15[\"Lx\"], marker=\"None\", linestyle=\":\", color=\"red\", linewidth=2.5, alpha=0.6, label=\"__nolabel__\")#, label=\"slow rot. (solar model)\")\n",
"#ax.plot(greenTu15[\"time\"], greenTu15[\"Lx\"], marker=\"None\", linestyle=\":\", color=\"lime\", linewidth=2.5, alpha=0.5, label=\"__nolabel__\")#, label=\"interm. rot. (solar model)\")\n",
"\n",
"# plot approximated tracks\n",
"step_size, t_track_start, t_track_end = 1., age, 5000. # Myr\n",
"t_arr = np.arange(t_track_start, t_track_end+step_size, step_size)\n",
"Lx_arr = np.array([Lx_evo(t=t_i, track_dict=track1) for t_i in t_arr])\n",
"ax.plot(t_arr, Lx_arr, color=\"xkcd:royal blue\", ls=\"-\", zorder=2, label=\"high activity track\", lw=2.2)\n",
"#####\n",
"Lx_arr = np.array([Lx_evo(t=t_i, track_dict=track2) for t_i in t_arr])\n",
"ax.plot(t_arr, Lx_arr, color=\"xkcd:grey\", zorder=3, lw=2.2, alpha=1., label=\"medium activity track\")\n",
"#####\n",
"Lx_arr = np.array([Lx_evo(t=t_i, track_dict=track3) for t_i in t_arr])\n",
"ax.plot(t_arr, Lx_arr, color=\"xkcd:red\", zorder=2, label=\"low activity track\", alpha=1, ls=\"-\", lw=2.2)\n",
"\n",
"# plot current X-ray luminosity of V1298 Tau as measured with Chandra & the assumed X-ray luminosity at 5 Gyr\n",
"ax.scatter(age, Lx_chandra, marker='*', c='xkcd:pale yellow', edgecolors='black', linewidths=1.1, s=500, alpha=1, zorder=4, label=\"__nolabel__\")#, label=\"today\"\n",
"ax.scatter(5000., Lx_5Gyr, marker='*', c='white', edgecolors='black', linewidths=1.2, s=350, zorder=4, label=\"__nolabel__\")#, label=\"at 5 Gyr\"\n",
"\n",
"ax.loglog()\n",
"ax.set_xlabel(\"Time [Myr]\", fontsize=22)\n",
"ax.set_ylabel(\"L$_\\mathrm{x}$ [erg/s]\", fontsize=22)\n",
"ax.set_xticks([10, 100, 1000, 5000])\n",
"ax.set_yticks([10**27., 10**28., 10**29., 10**30., 10**31.])\n",
"ax.xaxis.set_major_formatter(ticker.StrMethodFormatter('{x:.0f}'))\n",
"ax.set_xlim(left=4.9, right=6500)\n",
"ylim = ax.get_ylim()\n",
"ax.set_ylim(abs(ylim[0]), ylim[1])\n",
"ax.set_ylim(10.**27, ylim[1])\n",
"ax.tick_params(direction=\"in\", which=\"both\", labelsize=18)\n",
"ax.legend(loc=\"best\", fontsize=15)\n",
"#plt.savefig(\"./Plots_PAPER/Activity_tracks_v1298Tau_largelabels.jpg\", dpi=300)\n",
"#plt.savefig(\"./Plots_PAPER/Fig8_largelabels.jpg\", dpi=300)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(12,8))\n",
"ax.set_title('$L_x$ evolution evolutionary tracks with Jackson12 sample')\n",
"\n",
"# plot Tu15 tracks (for a Sun-like star!)\n",
"ax.plot(blueTu15[\"time\"], blueTu15[\"Lx\"], marker=\"None\", linestyle=\":\", color=\"blue\", linewidth=2.5, alpha=0.6, label=\"__nolabel__\")#, label=\"fast rot. (solar model)\")\n",
"ax.plot(redTu15[\"time\"], redTu15[\"Lx\"], marker=\"None\", linestyle=\":\", color=\"red\", linewidth=2.5, alpha=0.6, label=\"__nolabel__\")#, label=\"slow rot. (solar model)\")\n",
"ax.plot(greenTu15[\"time\"], greenTu15[\"Lx\"], marker=\"None\", linestyle=\":\", color=\"lime\", linewidth=2.5, alpha=0.5, label=\"__nolabel__\")#, label=\"interm. rot. (solar model)\")\n",
"ax.plot(jack12[\"age\"]/1e6, 10**jack12[\"logLx_cgs\"], ls=\"None\", marker=\"o\", color=\"grey\", mec=\"k\", alpha=0.3, zorder=1, label=\"cluster stars from \\nJackson et al. (2012)\")\n",
"\n",
"# plot approximated tracks\n",
"step_size, t_track_start, t_track_end = 1., age, 5000. # Myr\n",
"t_arr = np.arange(t_track_start, t_track_end+step_size, step_size)\n",
"Lx_arr = np.array([Lx_evo(t=t_i, track_dict=track1) for t_i in t_arr])\n",
"ax.plot(t_arr, Lx_arr, color=\"xkcd:royal blue\", ls=\"-\", zorder=2, label=\"fast activity track\", lw=2.2)\n",
"# 1 sigma errorbars on Lx at 23 Myr\n",
"Lx_arr = np.array([Lx_evo(t=t_i, track_dict=track1_lower) for t_i in t_arr])\n",
"ax.plot(t_arr, Lx_arr, color=\"xkcd:royal blue\", ls=\":\", zorder=2, label=\"__nolabel__\", lw=1)\n",
"Lx_arr = np.array([Lx_evo(t=t_i, track_dict=track1_upper) for t_i in t_arr])\n",
"ax.plot(t_arr, Lx_arr, color=\"xkcd:royal blue\", ls=\":\", zorder=2, label=\"__nolabel__\", lw=1)\n",
"#####\n",
"Lx_arr = np.array([Lx_evo(t=t_i, track_dict=track2) for t_i in t_arr])\n",
"ax.plot(t_arr, Lx_arr, color=\"xkcd:green\", zorder=3, lw=2.2, alpha=1., label=\"medium activity track\")\n",
"# 1 sigma errorbars on Lx at 23 Myr\n",
"Lx_arr = np.array([Lx_evo(t=t_i, track_dict=track2_lower) for t_i in t_arr])\n",
"ax.plot(t_arr, Lx_arr, color=\"xkcd:green\", ls=\":\", zorder=2, label=\"__nolabel__\", lw=1)\n",
"Lx_arr = np.array([Lx_evo(t=t_i, track_dict=track2_upper) for t_i in t_arr])\n",
"ax.plot(t_arr, Lx_arr, color=\"xkcd:green\", ls=\":\", zorder=2, label=\"__nolabel__\", lw=1)\n",
"#####\n",
"Lx_arr = np.array([Lx_evo(t=t_i, track_dict=track3) for t_i in t_arr])\n",
"ax.plot(t_arr, Lx_arr, color=\"xkcd:red\", zorder=2, label=\"low activity track\", alpha=0.9, ls=\"-\", lw=2.2)\n",
"# 1 sigma errorbars on Lx at 23 Myr\n",
"Lx_arr = np.array([Lx_evo(t=t_i, track_dict=track3_lower) for t_i in t_arr])\n",
"ax.plot(t_arr, Lx_arr, color=\"xkcd:red\", ls=\":\", zorder=2, label=\"__nolabel__\", lw=1)\n",
"Lx_arr = np.array([Lx_evo(t=t_i, track_dict=track3_upper) for t_i in t_arr])\n",
"ax.plot(t_arr, Lx_arr, color=\"xkcd:red\", ls=\":\", zorder=2, label=\"__nolabel__\", lw=1)\n",
"\n",
"ax.loglog()\n",
"ax.set_xlabel(\"Time [Myr]\")\n",
"ax.set_ylabel(\"L$_\\mathrm{x}$ [erg/s]\")\n",
"ax.set_xticks([5, 10, 20, 50, 100, 300, 1000, 5000])\n",
"ax.set_yticks([10**27., 10**28., 10**29., 10**30., 10**31.])\n",
"ax.xaxis.set_major_formatter(ticker.StrMethodFormatter('{x:.0f}'))\n",
"ax.set_xlim(left=4.9, right=11000)\n",
"ylim = ax.get_ylim()\n",
"ax.set_ylim(abs(ylim[0]), ylim[1])\n",
"ax.legend(loc=\"best\", fontsize=12)\n",
"#plt.savefig(\"./tracks_v1298Tau.png\", dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Create planets"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# Create planet objects using either LoFO14 or Ot20 results:\n",
"R_c, R_d, R_b, R_e = 5.59, 6.41, 10.27, 8.74\n",
"a_c, a_d, a_b, a_e = 0.0825, 0.1083, 0.1688, 0.308\n",
"Mcore5, Mcore10, metallicity = 5., 10., \"solarZ\"\n",
"\n",
"###############################################################################################\n",
"# 'fluffy' LoFo14 planets with 5 M_earth core\n",
"planet_c = {\"core_mass\": 5, \"radius\": R_c, \"distance\": a_c, \"metallicity\": metallicity}\n",
"planet_d = {\"core_mass\": Mcore5, \"radius\": R_d, \"distance\": a_d, \"metallicity\": metallicity}\n",
"planet_b = {\"core_mass\": Mcore5, \"radius\": R_b, \"distance\": a_b, \"metallicity\": metallicity}\n",
"planet_e = {\"core_mass\": Mcore5, \"radius\": R_e, \"distance\": a_e, \"metallicity\": metallicity}\n",
"\n",
"# fixed step size\n",
"pl_c_5_PAPER = planet_LoFo14_PAPER(star_dictionary=star_V1298Tau, planet_dict=planet_c)\n",
"pl_d_5_PAPER = planet_LoFo14_PAPER(star_dictionary=star_V1298Tau, planet_dict=planet_d)\n",
"pl_b_5_PAPER = planet_LoFo14_PAPER(star_dictionary=star_V1298Tau, planet_dict=planet_b)\n",
"pl_e_5_PAPER = planet_LoFo14_PAPER(star_dictionary=star_V1298Tau, planet_dict=planet_e)\n",
"planet_list_Mcore5_PAPER = [pl_c_5_PAPER, pl_d_5_PAPER, pl_b_5_PAPER, pl_e_5_PAPER]\n",
"\n",
"# variable step size\n",
"pl_c_5 = planet_LoFo14(star_dictionary=star_V1298Tau, planet_dict=planet_c)\n",
"pl_d_5 = planet_LoFo14(star_dictionary=star_V1298Tau, planet_dict=planet_d)\n",
"pl_b_5 = planet_LoFo14(star_dictionary=star_V1298Tau, planet_dict=planet_b)\n",
"pl_e_5 = planet_LoFo14(star_dictionary=star_V1298Tau, planet_dict=planet_e)\n",
"planet_list_Mcore5 = [pl_c_5, pl_d_5, pl_b_5, pl_e_5]\n",
"\n",
"###############################################################################################\n",
"# 'fluffy' LoFo14 planets with 10 M_earth core\n",
"planet_c = {\"core_mass\": Mcore10, \"radius\": R_c, \"distance\": a_c, \"metallicity\": metallicity}\n",
"planet_d = {\"core_mass\": Mcore10, \"radius\": R_d, \"distance\": a_d, \"metallicity\": metallicity}\n",
"planet_b = {\"core_mass\": Mcore10, \"radius\": R_b, \"distance\": a_b, \"metallicity\": metallicity}\n",
"planet_e = {\"core_mass\": Mcore10, \"radius\": R_e, \"distance\": a_e, \"metallicity\": metallicity}\n",
"\n",
"# fixed step size\n",
"pl_c_10_PAPER = planet_LoFo14_PAPER(star_dictionary=star_V1298Tau, planet_dict=planet_c)\n",
"pl_d_10_PAPER = planet_LoFo14_PAPER(star_dictionary=star_V1298Tau, planet_dict=planet_d)\n",
"pl_b_10_PAPER = planet_LoFo14_PAPER(star_dictionary=star_V1298Tau, planet_dict=planet_b)\n",
"pl_e_10_PAPER = planet_LoFo14_PAPER(star_dictionary=star_V1298Tau, planet_dict=planet_e)\n",
"planet_list_Mcore10_PAPER = [pl_c_10_PAPER, pl_d_10_PAPER, pl_b_10_PAPER, pl_e_10_PAPER]\n",
"\n",
"# variable step size\n",
"pl_c_10 = planet_LoFo14(star_dictionary=star_V1298Tau, planet_dict=planet_c)\n",
"pl_d_10 = planet_LoFo14(star_dictionary=star_V1298Tau, planet_dict=planet_d)\n",
"pl_b_10 = planet_LoFo14(star_dictionary=star_V1298Tau, planet_dict=planet_b)\n",
"pl_e_10 = planet_LoFo14(star_dictionary=star_V1298Tau, planet_dict=planet_e)\n",
"planet_list_Mcore10 = [pl_c_10, pl_d_10, pl_b_10, pl_e_10]\n",
"\n",
"###############################################################################################\n",
"# 'high-density' Ot20 planets\n",
"planet_c = {\"radius\": R_c, \"distance\": a_c}\n",
"planet_d = {\"radius\": R_d, \"distance\": a_d}\n",
"planet_b = {\"radius\": R_b, \"distance\": a_b}\n",
"planet_e = {\"radius\": R_e, \"distance\": a_e}\n",
"\n",
"# fixed step size\n",
"pl_c_Ot_PAPER = planet_Ot20_PAPER(star_dictionary=star_V1298Tau, planet_dict=planet_c)\n",
"pl_d_Ot_PAPER = planet_Ot20_PAPER(star_dictionary=star_V1298Tau, planet_dict=planet_d)\n",
"pl_b_Ot_PAPER = planet_Ot20_PAPER(star_dictionary=star_V1298Tau, planet_dict=planet_b)\n",
"pl_e_Ot_PAPER = planet_Ot20_PAPER(star_dictionary=star_V1298Tau, planet_dict=planet_e)\n",
"planet_list_Ot_PAPER = [pl_c_Ot_PAPER, pl_d_Ot_PAPER, pl_b_Ot_PAPER, pl_e_Ot_PAPER]\n",
"\n",
"# variable step size\n",
"pl_c_Ot = planet_Ot20(star_dictionary=star_V1298Tau, planet_dict=planet_c)\n",
"pl_d_Ot = planet_Ot20(star_dictionary=star_V1298Tau, planet_dict=planet_d)\n",
"pl_b_Ot = planet_Ot20(star_dictionary=star_V1298Tau, planet_dict=planet_b)\n",
"pl_e_Ot = planet_Ot20(star_dictionary=star_V1298Tau, planet_dict=planet_e)\n",
"planet_list_Ot = [pl_c_Ot, pl_d_Ot, pl_b_Ot, pl_e_Ot]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Create file structure for saving the results\n",
"\n",
"- check if directroy for saving the results for one planet existst, if not create\n",
"- create folders, one for each planet in the population (what this means: two planets with the exact same parametes will get two different folders) (len(list_planets) folders; folder name: planet+number)\n",
"- then I have folder-planet pairs, this way I can keep better track of what I am evolving\n",
"- divide the list of folder-planet pairs into chunks -> multiprocessing issue\n",
"- initiate the multiprocessing\n",
"- wait and have fun with the results!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Evolve planets using a fixed step size"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## LoFo14 planets with M$_{core}\\,=\\,5\\,$M$_\\oplus$"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Folder results_LoFo14_Mcore5_PAPER/ exists.\n",
"That took 0.0005047361056009929 minutes\n",
"CPU times: user 6.34 ms, sys: 19.7 ms, total: 26 ms\n",
"Wall time: 32 ms\n"
]
}
],
"source": [
"%%time\n",
"folder_name = \"results_LoFo14_Mcore5_PAPER/\"\n",
"curr_path = os.getcwd().split(\"gitlab\")[0]+'gitlab/platypos/example_V1298Tau/'\n",
"# chunk_size...\n",
"path_save, planet_chunks = create_planet_chunks(curr_path, folder_name=folder_name, list_planets=planet_list_Mcore5_PAPER, chunk_size=4)\n",
"eps, init_step, t_final = 0.1, 0.1, 5000.\n",
"\n",
"# this is where the mulit-processing happens\n",
"if __name__ == \"__main__\":\n",
" # evolve the ensamble (multi-threading)\n",
" evolve_ensamble(planet_chunks, t_final, init_step=init_step, eps=eps, \n",
" K_on=\"yes\", beta_on=\"yes\", evo_track_dict_list=list_tracks, path_save=path_save)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## LoFo14 planets with M$_{core}\\,=\\,10\\,$M$_\\oplus$"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Planet: planet_3_track_23.0_240.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Start evolving.\n",
"Planet: planet_4_track_23.0_240.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Start evolving.\n",
"Planet: planet_2_track_23.0_240.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Start evolving.\n",
"Planet: planet_1_track_23.0_240.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Start evolving.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Process Process-23:\n",
"Process Process-24:\n",
"Process Process-22:\n",
"Process Process-21:\n",
"Traceback (most recent call last):\n",
"Traceback (most recent call last):\n",
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 297, in _bootstrap\n",
" self.run()\n",
"Traceback (most recent call last):\n",
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 99, in run\n",
" self._target(*self._args, **self._kwargs)\n",
"Traceback (most recent call last):\n",
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 297, in _bootstrap\n",
" self.run()\n",
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 297, in _bootstrap\n",
" self.run()\n",
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 99, in run\n",
" self._target(*self._args, **self._kwargs)\n",
" File \"/media/laura/SSD2lin/PhD/work/gitlab/platypos/population_evolution/evolve_planet.py\", line 71, in evolve_one_planet\n",
" path_for_saving=path_for_saving, planet_folder_id=folder)\n",
" File \"/media/laura/SSD2lin/PhD/work/gitlab/platypos/population_evolution/evolve_planet.py\", line 71, in evolve_one_planet\n",
" path_for_saving=path_for_saving, planet_folder_id=folder)\n",
" File \"../platypos_package/Planet_class_LoFo14_PAPER.py\", line 201, in evolve_forward\n",
" track_dict=evo_track_dict)\n",
" File \"../platypos_package/Planet_class_LoFo14_PAPER.py\", line 201, in evolve_forward\n",
" track_dict=evo_track_dict)\n"
]
},
{
"ename": "KeyboardInterrupt",
"evalue": "",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n",
"\u001b[0;32m/media/laura/SSD2lin/PhD/work/gitlab/platypos/population_evolution/evolve_planet.py\u001b[0m in \u001b[0;36mevolve_ensamble\u001b[0;34m(planets_chunks, t_final, init_step, eps, K_on, beta_on, evo_track_dict_list, path_save)\u001b[0m\n\u001b[1;32m 220\u001b[0m \u001b[0;31m# \"join() says that the code in __main__ must wait until all our tasks are complete before continuing!\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 221\u001b[0m \u001b[0;31m# Make sure Python waits for the process to terminate and then exits the completed processes\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 222\u001b[0;31m \u001b[0mprocess\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mjoin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 223\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 224\u001b[0m \u001b[0mt\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mtime\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtime\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mstarttime\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;36m60\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/anaconda3/lib/python3.7/multiprocessing/process.py\u001b[0m in \u001b[0;36mjoin\u001b[0;34m(self, timeout)\u001b[0m\n\u001b[1;32m 138\u001b[0m \u001b[0;32massert\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_parent_pid\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mos\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgetpid\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'can only join a child process'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 139\u001b[0m \u001b[0;32massert\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_popen\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'can only join a started process'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 140\u001b[0;31m \u001b[0mres\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_popen\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwait\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtimeout\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 141\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mres\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 142\u001b[0m \u001b[0m_children\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdiscard\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/anaconda3/lib/python3.7/multiprocessing/popen_fork.py\u001b[0m in \u001b[0;36mwait\u001b[0;34m(self, timeout)\u001b[0m\n\u001b[1;32m 46\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 47\u001b[0m \u001b[0;31m# This shouldn't block if wait() returned successfully.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 48\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpoll\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mos\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mWNOHANG\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mtimeout\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0.0\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 49\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreturncode\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 50\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/anaconda3/lib/python3.7/multiprocessing/popen_fork.py\u001b[0m in \u001b[0;36mpoll\u001b[0;34m(self, flag)\u001b[0m\n\u001b[1;32m 26\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreturncode\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 27\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 28\u001b[0;31m \u001b[0mpid\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msts\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mos\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwaitpid\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpid\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mflag\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 29\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mOSError\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0me\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 30\u001b[0m \u001b[0;31m# Child process not yet created. See #1731717\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mKeyboardInterrupt\u001b[0m: "
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 297, in _bootstrap\n",
" self.run()\n",
" File \"../platypos_package/Mass_evolution_function.py\", line 425, in mass_planet_RK4_forward_LO14_PAPER\n",
" planet_object.distance), planet_object.metallicity)\n",
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 99, in run\n",
" self._target(*self._args, **self._kwargs)\n",
" File \"../platypos_package/Lx_evo_and_flux.py\", line 144, in flux_at_planet_earth\n",
" flux_earth = 1373*1e7*(u.erg/u.s)/(100*u.cm*100*u.cm)\n",
" File \"/media/laura/SSD2lin/PhD/work/gitlab/platypos/population_evolution/evolve_planet.py\", line 71, in evolve_one_planet\n",
" path_for_saving=path_for_saving, planet_folder_id=folder)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 956, in __truediv__\n",
" return super().__truediv__(other)\n",
" File \"../platypos_package/Planet_class_LoFo14_PAPER.py\", line 201, in evolve_forward\n",
" track_dict=evo_track_dict)\n",
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 99, in run\n",
" self._target(*self._args, **self._kwargs)\n",
" File \"../platypos_package/Mass_evolution_function.py\", line 394, in mass_planet_RK4_forward_LO14_PAPER\n",
" Mdot2 = mass_loss_rate_forward_LO14(times[i]+0.5*dt, epsilon, K_on, beta_on, planet_object, f_env_05k1, track_dict)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 444, in __array_ufunc__\n",
" converters, unit = converters_and_unit(function, method, *inputs)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity_helper/converters.py\", line 166, in converters_and_unit\n",
" converters, result_unit = ufunc_helper(function, *units)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity_helper/helpers.py\", line 218, in helper_division\n",
" return [None, None], _d(unit1) / _d(unit2)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 652, in __div__\n",
" if m.is_unity():\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 2152, in is_unity\n",
" unit = self.decompose()\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 2146, in decompose\n",
" decompose_bases=bases)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 2052, in __init__\n",
" bases=decompose_bases)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 2119, in _expand_and_gather\n",
" new_parts = [x for x in new_parts.items() if x[1] != 0]\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 2119, in \n",
" new_parts = [x for x in new_parts.items() if x[1] != 0]\n",
"KeyboardInterrupt\n",
" File \"/media/laura/SSD2lin/PhD/work/gitlab/platypos/population_evolution/evolve_planet.py\", line 71, in evolve_one_planet\n",
" path_for_saving=path_for_saving, planet_folder_id=folder)\n",
" File \"../platypos_package/Planet_class_LoFo14_PAPER.py\", line 201, in evolve_forward\n",
" track_dict=evo_track_dict)\n",
" File \"../platypos_package/Mass_evolution_function.py\", line 400, in mass_planet_RK4_forward_LO14_PAPER\n",
" Mdot3 = mass_loss_rate_forward_LO14(times[i]+0.5*dt, epsilon, K_on, beta_on, planet_object, f_env_05k2, track_dict)\n",
" File \"../platypos_package/Mass_evolution_function.py\", line 388, in mass_planet_RK4_forward_LO14_PAPER\n",
" Mdot1 = mass_loss_rate_forward_LO14(times[i], epsilon, K_on, beta_on, planet_object, f_env, track_dict)\n",
" File \"../platypos_package/Mass_loss_rate_function.py\", line 32, in mass_loss_rate_forward_LO14\n",
" Fxuv = flux_at_planet(L_xuv_all(Lx), planet_object.distance) # get flux at orbital separation a_p\n",
" File \"../platypos_package/Lx_evo_and_flux.py\", line 153, in flux_at_planet\n",
" A = (4.*np.pi*(a_p*const.au.cgs)**2)\n",
" File \"../platypos_package/Mass_loss_rate_function.py\", line 32, in mass_loss_rate_forward_LO14\n",
" Fxuv = flux_at_planet(L_xuv_all(Lx), planet_object.distance) # get flux at orbital separation a_p\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 945, in __rmul__\n",
" return self.__mul__(other)\n",
" File \"../platypos_package/Lx_evo_and_flux.py\", line 153, in flux_at_planet\n",
" A = (4.*np.pi*(a_p*const.au.cgs)**2)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 929, in __mul__\n",
" return super().__mul__(other)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 993, in __pow__\n",
" return super().__pow__(other)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 473, in __array_ufunc__\n",
" return self._result_as_quantity(result, unit, out)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 473, in __array_ufunc__\n",
" return self._result_as_quantity(result, unit, out)\n",
" File \"../platypos_package/Mass_loss_rate_function.py\", line 39, in mass_loss_rate_forward_LO14\n",
" rho_p = rho = plmoLoFo14.density_planet(M_p, R_p) # initial approx. density\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 507, in _result_as_quantity\n",
" return result if unit is None else self._new_view(result, unit)\n",
"KeyboardInterrupt\n",
" File \"../platypos_package/Planet_models_LoFo14.py\", line 39, in density_planet\n",
" rho = (M_p*const.M_earth.cgs/(4./3*np.pi*(R_p*const.R_earth.cgs)**3))\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 586, in _new_view\n",
" if obj is None:\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 956, in __truediv__\n",
" return super().__truediv__(other)\n",
"KeyboardInterrupt\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 459, in __array_ufunc__\n",
" for input_, converter in zip(inputs, converters):\n",
"KeyboardInterrupt\n"
]
}
],
"source": [
"%%time\n",
"folder_name = \"results_LoFo14_Mcore10_PAPER/\"\n",
"curr_path = os.getcwd().split(\"gitlab\")[0]+'gitlab/platypos/example_V1298Tau/'\n",
"# chunk_size...\n",
"path_save, planet_chunks = create_planet_chunks(curr_path, folder_name=folder_name, list_planets=planet_list_Mcore10_PAPER, chunk_size=4)\n",
"eps, init_step, t_final = 0.1, 0.1, 5000.\n",
"\n",
"# this is where the mulit-processing happens\n",
"if __name__ == \"__main__\":\n",
" # evolve the ensamble (multi-threading)\n",
" evolve_ensamble(planet_chunks, t_final, init_step=init_step, eps=eps, \n",
" K_on=\"yes\", beta_on=\"yes\", evo_track_dict_list=list_tracks, path_save=path_save)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ot20 planets "
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Folder -> results_Ot20_PAPER/ <- exists.\n",
"start\n",
"Planet: planet_1_track_23.0_240.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Start evolving.\n",
"Planet: planet_3_track_23.0_240.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Planet: planet_4_track_23.0_240.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Start evolving.\n",
"Start evolving.\n",
"Planet: planet_2_track_23.0_240.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Start evolving.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Process Process-52:\n",
"Process Process-49:\n",
"Process Process-51:\n",
"Process Process-50:\n",
"Traceback (most recent call last):\n",
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 297, in _bootstrap\n",
" self.run()\n",
"Traceback (most recent call last):\n",
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 99, in run\n",
" self._target(*self._args, **self._kwargs)\n",
" File \"/media/laura/SSD2lin/PhD/work/gitlab/platypos/population_evolution/evolve_planet.py\", line 30, in evolve_one_planet\n",
" path_for_saving=path_for_saving, planet_folder_id=folder)\n",
" File \"../platypos_package/Planet_class_Ot20_PAPER.py\", line 155, in evolve_forward\n",
" track_dict=evo_track_dict)\n",
"Traceback (most recent call last):\n",
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 297, in _bootstrap\n",
" self.run()\n",
" File \"../platypos_package/Mass_evolution_function.py\", line 678, in mass_planet_RK4_forward_Ot14_PAPER\n",
" Mdot3 = mass_loss_rate_forward_Ot20(times[i]+0.5*dt, epsilon, K_on, beta_on, planet_object, R_05k2, track_dict)\n",
" File \"../platypos_package/Mass_loss_rate_function.py\", line 88, in mass_loss_rate_forward_Ot20\n",
" rho_p = rho = plmoOt20.density_planet(M_p, radius_at_t) # initial approx. density\n"
]
},
{
"ename": "KeyboardInterrupt",
"evalue": "",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n",
"\u001b[0;32m/media/laura/SSD2lin/PhD/work/gitlab/platypos/population_evolution/evolve_planet.py\u001b[0m in \u001b[0;36mevolve_ensamble\u001b[0;34m(planets_chunks, t_final, initial_step_size, epsilon, K_on, beta_on, evo_track_dict_list, path_save)\u001b[0m\n\u001b[1;32m 60\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 61\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mprocess\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mprocesses\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 62\u001b[0;31m \u001b[0mprocess\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mjoin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 63\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 64\u001b[0m \u001b[0mt\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mtime\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtime\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mstarttime\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;36m60\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/anaconda3/lib/python3.7/multiprocessing/process.py\u001b[0m in \u001b[0;36mjoin\u001b[0;34m(self, timeout)\u001b[0m\n\u001b[1;32m 138\u001b[0m \u001b[0;32massert\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_parent_pid\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mos\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgetpid\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'can only join a child process'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 139\u001b[0m \u001b[0;32massert\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_popen\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'can only join a started process'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 140\u001b[0;31m \u001b[0mres\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_popen\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwait\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtimeout\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 141\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mres\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 142\u001b[0m \u001b[0m_children\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdiscard\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/anaconda3/lib/python3.7/multiprocessing/popen_fork.py\u001b[0m in \u001b[0;36mwait\u001b[0;34m(self, timeout)\u001b[0m\n\u001b[1;32m 46\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 47\u001b[0m \u001b[0;31m# This shouldn't block if wait() returned successfully.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 48\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpoll\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mos\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mWNOHANG\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mtimeout\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0.0\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 49\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreturncode\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 50\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/anaconda3/lib/python3.7/multiprocessing/popen_fork.py\u001b[0m in \u001b[0;36mpoll\u001b[0;34m(self, flag)\u001b[0m\n\u001b[1;32m 26\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreturncode\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 27\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 28\u001b[0;31m \u001b[0mpid\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msts\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mos\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwaitpid\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpid\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mflag\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 29\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mOSError\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0me\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 30\u001b[0m \u001b[0;31m# Child process not yet created. See #1731717\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mKeyboardInterrupt\u001b[0m: "
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 297, in _bootstrap\n",
" self.run()\n",
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 99, in run\n",
" self._target(*self._args, **self._kwargs)\n",
"Traceback (most recent call last):\n",
" File \"../platypos_package/Planet_model_Ot20.py\", line 74, in density_planet\n",
" rho = (M_p*const.M_earth.cgs/(4./3*np.pi*(R_p*const.R_earth.cgs)**3)).cgs\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 768, in cgs\n",
" cgs_unit = self.unit.cgs\n",
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 297, in _bootstrap\n",
" self.run()\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/utils/decorators.py\", line 744, in __get__\n",
" val = self.fget(obj)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1331, in cgs\n",
" return self.to_system(cgs)[0]\n",
" File \"/media/laura/SSD2lin/PhD/work/gitlab/platypos/population_evolution/evolve_planet.py\", line 30, in evolve_one_planet\n",
" path_for_saving=path_for_saving, planet_folder_id=folder)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1312, in to_system\n",
" composed = x.compose(units=system)\n",
" File \"../platypos_package/Planet_class_Ot20_PAPER.py\", line 155, in evolve_forward\n",
" track_dict=evo_track_dict)\n",
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 99, in run\n",
" self._target(*self._args, **self._kwargs)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1269, in compose\n",
" max_depth=max_depth, depth=0, cached_results={}))\n",
" File \"/media/laura/SSD2lin/PhD/work/gitlab/platypos/population_evolution/evolve_planet.py\", line 30, in evolve_one_planet\n",
" path_for_saving=path_for_saving, planet_folder_id=folder)\n",
" File \"../platypos_package/Mass_evolution_function.py\", line 678, in mass_planet_RK4_forward_Ot14_PAPER\n",
" Mdot3 = mass_loss_rate_forward_Ot20(times[i]+0.5*dt, epsilon, K_on, beta_on, planet_object, R_05k2, track_dict)\n",
" File \"../platypos_package/Planet_class_Ot20_PAPER.py\", line 155, in evolve_forward\n",
" track_dict=evo_track_dict)\n",
" File \"../platypos_package/Mass_loss_rate_function.py\", line 88, in mass_loss_rate_forward_Ot20\n",
" rho_p = rho = plmoOt20.density_planet(M_p, radius_at_t) # initial approx. density\n",
" File \"/home/laura/anaconda3/lib/python3.7/multiprocessing/process.py\", line 99, in run\n",
" self._target(*self._args, **self._kwargs)\n",
" File \"../platypos_package/Planet_model_Ot20.py\", line 74, in density_planet\n",
" rho = (M_p*const.M_earth.cgs/(4./3*np.pi*(R_p*const.R_earth.cgs)**3)).cgs\n",
" File \"../platypos_package/Mass_evolution_function.py\", line 684, in mass_planet_RK4_forward_Ot14_PAPER\n",
" Mdot4 = mass_loss_rate_forward_Ot20(times[i]+dt, epsilon, K_on, beta_on, planet_object, R_05k3, track_dict)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 768, in cgs\n",
" cgs_unit = self.unit.cgs\n",
" File \"../platypos_package/Mass_loss_rate_function.py\", line 88, in mass_loss_rate_forward_Ot20\n",
" rho_p = rho = plmoOt20.density_planet(M_p, radius_at_t) # initial approx. density\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1107, in _compose\n",
" cached_results=cached_results)\n",
" File \"/media/laura/SSD2lin/PhD/work/gitlab/platypos/population_evolution/evolve_planet.py\", line 30, in evolve_one_planet\n",
" path_for_saving=path_for_saving, planet_folder_id=folder)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/utils/decorators.py\", line 744, in __get__\n",
" val = self.fget(obj)\n",
" File \"../platypos_package/Planet_model_Ot20.py\", line 74, in density_planet\n",
" rho = (M_p*const.M_earth.cgs/(4./3*np.pi*(R_p*const.R_earth.cgs)**3)).cgs\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1331, in cgs\n",
" return self.to_system(cgs)[0]\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 768, in cgs\n",
" cgs_unit = self.unit.cgs\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/utils/decorators.py\", line 744, in __get__\n",
" val = self.fget(obj)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1312, in to_system\n",
" composed = x.compose(units=system)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1331, in cgs\n",
" return self.to_system(cgs)[0]\n",
" File \"../platypos_package/Planet_class_Ot20_PAPER.py\", line 155, in evolve_forward\n",
" track_dict=evo_track_dict)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1269, in compose\n",
" max_depth=max_depth, depth=0, cached_results={}))\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1312, in to_system\n",
" composed = x.compose(units=system)\n",
" File \"../platypos_package/Mass_evolution_function.py\", line 684, in mass_planet_RK4_forward_Ot14_PAPER\n",
" Mdot4 = mass_loss_rate_forward_Ot20(times[i]+dt, epsilon, K_on, beta_on, planet_object, R_05k3, track_dict)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1107, in _compose\n",
" cached_results=cached_results)\n",
" File \"../platypos_package/Mass_loss_rate_function.py\", line 88, in mass_loss_rate_forward_Ot20\n",
" rho_p = rho = plmoOt20.density_planet(M_p, radius_at_t) # initial approx. density\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1107, in _compose\n",
" cached_results=cached_results)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1028, in _compose\n",
" unit = self.decompose()\n",
" File \"../platypos_package/Planet_model_Ot20.py\", line 74, in density_planet\n",
" rho = (M_p*const.M_earth.cgs/(4./3*np.pi*(R_p*const.R_earth.cgs)**3)).cgs\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1081, in _compose\n",
" composed = (u / tunit_decomposed).decompose()\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1269, in compose\n",
" max_depth=max_depth, depth=0, cached_results={}))\n",
"KeyboardInterrupt\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/quantity.py\", line 768, in cgs\n",
" cgs_unit = self.unit.cgs\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 654, in __div__\n",
" return CompositeUnit(1, [self, m], [1, -1], _error_check=False)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1107, in _compose\n",
" cached_results=cached_results)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1082, in _compose\n",
" factored = composed * tunit\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 694, in __mul__\n",
" return CompositeUnit(1, [self, m], [1, 1], _error_check=False)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 2052, in __init__\n",
" bases=decompose_bases)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 2052, in __init__\n",
" bases=decompose_bases)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 2119, in _expand_and_gather\n",
" new_parts = [x for x in new_parts.items() if x[1] != 0]\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/utils/decorators.py\", line 744, in __get__\n",
" val = self.fget(obj)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 2115, in _expand_and_gather\n",
" scale = add_unit(b_sub, a * b, scale)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 2119, in \n",
" new_parts = [x for x in new_parts.items() if x[1] != 0]\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1331, in cgs\n",
" return self.to_system(cgs)[0]\n",
"KeyboardInterrupt\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 2099, in add_unit\n",
" new_parts[unit] = a + b\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1312, in to_system\n",
" composed = x.compose(units=system)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1269, in compose\n",
" max_depth=max_depth, depth=0, cached_results={}))\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 734, in __hash__\n",
" def __hash__(self):\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1107, in _compose\n",
" cached_results=cached_results)\n",
"KeyboardInterrupt\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 1082, in _compose\n",
" factored = composed * tunit\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 694, in __mul__\n",
" return CompositeUnit(1, [self, m], [1, 1], _error_check=False)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 2052, in __init__\n",
" bases=decompose_bases)\n",
" File \"/home/laura/anaconda3/lib/python3.7/site-packages/astropy/units/core.py\", line 2111, in _expand_and_gather\n",
" if isinstance(b, CompositeUnit):\n",
"KeyboardInterrupt\n"
]
}
],
"source": [
"%%time\n",
"folder_name = \"results_Ot20_PAPER/\"\n",
"curr_path = os.getcwd().split(\"gitlab\")[0]+'gitlab/platypos/example_V1298Tau/'\n",
"# chunk_size...\n",
"path_save, planet_chunks = create_planet_chunks(curr_path, folder_name=folder_name, list_planets=planet_list_Ot_PAPER, chunk_size=4)\n",
"eps, init_step, t_final = 0.1, 1.0, 5000.\n",
"\n",
"# this is where the mulit-processing happens\n",
"if __name__ == \"__main__\":\n",
" # evolve the ensamble (multi-threading)\n",
" evolve_ensamble(planet_chunks, t_final, init_step=init_step, eps=eps, \n",
" K_on=\"yes\", beta_on=\"yes\", evo_track_dict_list=list_tracks, path_save=path_save)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Evolve planets using a variable step size (faster & recommended)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# with code update from 18.6."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Folder results_LoFo14_Mcore5_varstep_18_June_2020/ exists.\n",
"Planet: planet_3_track_23.0_240.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Planet: planet_4_track_23.0_240.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Planet: planet_2_track_23.0_240.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Planet: planet_1_track_23.0_240.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Atmosphere has evaportated! Only bare rocky core left! STOP this madness!\n",
"Planet: planet_3_track_23.0_23.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Atmosphere has evaportated! Only bare rocky core left! STOP this madness!\n",
"Planet: planet_4_track_23.0_23.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Atmosphere has evaportated! Only bare rocky core left! STOP this madness!\n",
"Planet: planet_3_track_23.0_23.0_5000.0_1.3e+30_20.0_16.0.txt\n",
"Atmosphere has evaportated! Only bare rocky core left! STOP this madness!\n",
"Planet: planet_2_track_23.0_23.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Done!\n",
"Planet: planet_1_track_23.0_23.0_5000.0_1.3e+30_0.0_0.0.txt\n",
"Atmosphere has evaportated! Only bare rocky core left! STOP this madness!\n",
"Planet: planet_4_track_23.0_23.0_5000.0_1.3e+30_20.0_16.0.txt\n",
"Atmosphere has evaportated! Only bare rocky core left! STOP this madness!\n",
"Done!\n",
"Planet: planet_1_track_23.0_23.0_5000.0_1.3e+30_20.0_16.0.txt\n",
"Done!\n",
"Done!\n",
"Planet: planet_2_track_23.0_23.0_5000.0_1.3e+30_20.0_16.0.txt\n",
"Done!\n",
"Done!\n",
"That took 1.2606542468070985 minutes\n",
"Total # of planet folders = 4\n",
"Non-empty folders: 4\n",
"\n",
"Total number of planets to analyze: 4\n",
"CPU times: user 113 ms, sys: 29.3 ms, total: 142 ms\n",
"Wall time: 1min 15s\n"
]
}
],
"source": [
"%%time\n",
"folder_name = \"results_LoFo14_Mcore5_varstep_18_June_2020/\"\n",
"curr_path = os.getcwd().split(\"gitlab\")[0]+'gitlab/platypos/example_V1298Tau/'\n",
"# chunk_size...\n",
"path_save, planet_chunks = create_planet_chunks(curr_path, folder_name=folder_name, list_planets=planet_list_Mcore5, chunk_size=4)\n",
"eps, init_step, t_final = 0.1, 0.1, 5000.\n",
"\n",
"# this is where the mulit-processing happens\n",
"if __name__ == \"__main__\":\n",
" evolve_ensamble(planet_chunks, t_final, init_step=init_step, eps=eps, \n",
" K_on=\"yes\", beta_on=\"yes\", evo_track_dict_list=list_tracks, path_save=path_save)\n",
" \n",
"# read in the results as a dataframe\n",
"planets_LoFo14_Mcore5_dict_new, planets_LoFo14_Mcore5_init_df_new, tracks_LoFo14_Mcore5_dict_new = read_in_PLATYPOS_results(path_to_results=\"./results_LoFo14_Mcore5_varstep/\", N_tracks=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## LoFo14 planets with M$_{core}\\,=\\,5\\,$M$_\\oplus$"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Folder results_LoFo14_Mcore5_varstep/ exists.\n",
"That took 0.0004577438036600749 minutes\n",
"Total # of planet folders = 4\n",
"Non-empty folders: 4\n",
"\n",
"Total number of planets to analyze: 4\n",
"CPU times: user 113 ms, sys: 20.1 ms, total: 133 ms\n",
"Wall time: 138 ms\n"
]
}
],
"source": [
"%%time\n",
"folder_name = \"results_LoFo14_Mcore5_varstep/\"\n",
"curr_path = os.getcwd().split(\"gitlab\")[0]+'gitlab/platypos/example_V1298Tau/'\n",
"# chunk_size...\n",
"path_save, planet_chunks = create_planet_chunks(curr_path, folder_name=folder_name, list_planets=planet_list_Mcore5, chunk_size=4)\n",
"eps, init_step, t_final = 0.1, 0.1, 5000.\n",
"\n",
"# this is where the mulit-processing happens\n",
"if __name__ == \"__main__\":\n",
" evolve_ensamble(planet_chunks, t_final, init_step=init_step, eps=eps, \n",
" K_on=\"yes\", beta_on=\"yes\", evo_track_dict_list=list_tracks, path_save=path_save)\n",
" \n",
"# read in the results as a dataframe\n",
"planets_LoFo14_Mcore5_dict, planets_LoFo14_Mcore5_init_df, tracks_LoFo14_Mcore5_dict = read_in_PLATYPOS_results(path_to_results=\"./results_LoFo14_Mcore5_varstep/\", N_tracks=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## LoFo14 planets with M$_{core}\\,=\\,10\\,$M$_\\oplus$"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Folder results_LoFo14_Mcore10_varstep/ exists.\n",
"That took 0.0004350026448567708 minutes\n",
"Total # of planet folders = 4\n",
"Non-empty folders: 4\n",
"\n",
"Total number of planets to analyze: 4\n",
"CPU times: user 52.2 ms, sys: 28.6 ms, total: 80.8 ms\n",
"Wall time: 94.3 ms\n"
]
}
],
"source": [
"%%time\n",
"folder_name = \"results_LoFo14_Mcore10_varstep/\"\n",
"curr_path = os.getcwd().split(\"gitlab\")[0]+'gitlab/platypos/example_V1298Tau/'\n",
"# chunk_size...\n",
"path_save, planet_chunks = create_planet_chunks(curr_path, folder_name=folder_name, list_planets=planet_list_Mcore10, chunk_size=4)\n",
"eps, init_step, t_final = 0.1, 0.1, 5000.\n",
"\n",
"# this is where the mulit-processing happens\n",
"if __name__ == \"__main__\":\n",
" evolve_ensamble(planet_chunks, t_final, init_step=init_step, eps=eps, \n",
" K_on=\"yes\", beta_on=\"yes\", evo_track_dict_list=list_tracks, path_save=path_save)\n",
"\n",
"# read in the results as a dataframe\n",
"planets_LoFo14_Mcore10_dict, planets_LoFo14_Mcore10_init_df, tracks_LoFo14_Mcore10_dict = read_in_PLATYPOS_results(path_to_results=\"./results_LoFo14_Mcore10_varstep/\", N_tracks=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ot20 planets "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Folder results_Ot20_varstep/ exists.\n",
"That took 0.0006747603416442871 minutes\n",
"Total # of planet folders = 4\n",
"Non-empty folders: 4\n",
"\n",
"Total number of planets to analyze: 4\n",
"CPU times: user 56.9 ms, sys: 23.3 ms, total: 80.2 ms\n",
"Wall time: 106 ms\n"
]
}
],
"source": [
"%%time\n",
"folder_name = \"results_Ot20_varstep/\"\n",
"curr_path = os.getcwd().split(\"gitlab\")[0]+'gitlab/platypos/example_V1298Tau/'\n",
"# chunk_size...\n",
"path_save, planet_chunks = create_planet_chunks(curr_path, folder_name=folder_name, list_planets=planet_list_Ot, chunk_size=4)\n",
"eps, init_step, t_final = 0.1, 1.0, 5000.\n",
"\n",
"# this is where the mulit-processing happens\n",
"if __name__ == \"__main__\":\n",
" evolve_ensamble(planet_chunks, t_final, init_step=init_step, eps=eps, \n",
" K_on=\"yes\", beta_on=\"yes\", evo_track_dict_list=list_tracks, path_save=path_save)\n",
"\n",
"# read in the results as a dataframe\n",
"planets_Ot_dict, planets_Ot_init_df, tracks_Ot_dict = read_in_PLATYPOS_results(path_to_results=\"./results_Ot20_varstep/\", N_tracks=3)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0 23.0\n",
" 1 23.1\n",
" 2 23.2\n",
" 3 23.3\n",
" 4 23.4\n",
" ... \n",
" 3265 NaN\n",
" 3266 NaN\n",
" 3267 NaN\n",
" 3268 NaN\n",
" 3269 NaN\n",
" Name: t1, Length: 3270, dtype: float64, 0 6.728688\n",
" 1 6.727284\n",
" 2 6.725889\n",
" 3 6.724502\n",
" 4 6.723124\n",
" ... \n",
" 3265 NaN\n",
" 3266 NaN\n",
" 3267 NaN\n",
" 3268 NaN\n",
" 3269 NaN\n",
" Name: M1, Length: 3270, dtype: float64)"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"planets_LoFo14_Mcore5_dict[\"planet_1\"][\"t1\"], planets_LoFo14_Mcore5_dict[\"planet_1\"][\"M1\"]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Evolve LoFo14_PAPER planets (fixed step size)\n",
"\n",
"Run the cells below to start the evolution calculation (or read in the results if already available).
\n",
"Once this is done, the data will be read in & can be plotted.
\n",
"**The calculation results are already available. If you want to redo them, delete the results-folders. But remember that this will take some time**
\n",
"For each planet scenario (\"fluffy\" and \"dense\"), we evolve the planets along three tracks.
\n",
"The output will be four arrays for track: t1_XXX, M1_XXX, R1_XXX, Lx1_XXX (time, mass, radius, Lx evolution).
\n",
"The high activity track is labeled with a \"1\", the medium one with \"2\", and the low activity track with a \"3\"."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"t1_c_OtP, M1_c_OtP"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plots from the Paper"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot mass & radius evolution planet c"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"ename": "NameError",
"evalue": "name 't1_c_5P' is not defined",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 17\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 18\u001b[0m \u001b[0;31m# 5Mcore\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 19\u001b[0;31m \u001b[0maxs\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt1_c_5P\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mM1_c_5P\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34mr\"fast, step = 0.1 Myr\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mls\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"-\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"xkcd:royal blue\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlw\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mzorder\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 20\u001b[0m \u001b[0maxs\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt2_c_5P\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mM2_c_5P\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34mr\"med, step = 0.1 Myr\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mls\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"-\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"xkcd:grey\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlw\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m2.5\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mzorder\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 21\u001b[0m \u001b[0maxs\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt3_c_5P\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mM3_c_5P\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34mr\"slow, step = 0.1 Myr\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mls\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"-\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"xkcd:red\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlw\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1.5\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mzorder\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mNameError\u001b[0m: name 't1_c_5P' is not defined"
]
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axs = plt.subplots(3,2, figsize=(13,10), sharex=True, sharey=False)\n",
"\n",
"fig.suptitle(\"Planet c\")\n",
"#ax1.set_title(\"Planet c\")\n",
"fig.subplots_adjust(top=0.93)\n",
"\n",
"# Otegi/heavy\n",
"axs[0, 0].plot(t1_c_OtP, M1_c_OtP, label=\"high activity track\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[0, 0].plot(t2_c_OtP, M2_c_OtP, label=\"medium activity track\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[0, 0].plot(t3_c_OtP, M3_c_OtP, label=\"low activity track\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"\n",
"# 10Mcore\n",
"axs[1, 0].plot(t1_c_10P, M1_c_10P, label=r\"fast, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[1, 0].plot(t2_c_10P, M2_c_10P, label=r\"med, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[1, 0].plot(t3_c_10P, M3_c_10P, label=r\"slow, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[1, 0].hlines(pl_c_10_PAPER.core_mass, t1_c_10P[0], 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"\n",
"# 5Mcore\n",
"axs[2, 0].plot(t1_c_5P, M1_c_5P, label=r\"fast, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[2, 0].plot(t2_c_5P, M2_c_5P, label=r\"med, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[2, 0].plot(t3_c_5P, M3_c_5P, label=r\"slow, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[2, 0].hlines(pl_c_5_PAPER.core_mass, t1_c_5P[0], 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"axs[2, 0].text(1600, 5.006, \"core mass\", fontsize=11.5)\n",
"\n",
"#radii\n",
"# Otegi/heavy\n",
"axs[0, 1].plot(t1_c_OtP, R1_c_OtP, label=r\"fast, step = 1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[0, 1].plot(t2_c_OtP, R2_c_OtP, label=r\"med, step = 1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[0, 1].plot(t3_c_OtP, R3_c_OtP, label=r\"slow, step = 1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"\n",
"# 10Mcore\n",
"axs[1, 1].plot(t1_c_10P, R1_c_10P, label=r\"fast, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[1, 1].plot(t2_c_10P, R2_c_10P, label=r\"med, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[1, 1].plot(t3_c_10P, R3_c_10P, label=r\"slow, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"age_arr = np.linspace(23., 5000., 1000)\n",
"axs[1, 1].plot(age_arr, plmo14.calculate_planet_radius(pl_c_10_PAPER.core_mass, pl_c_10_PAPER.fenv, age_arr, pl_c_10_PAPER.flux, pl_c_10_PAPER.metallicity), color=\"k\", ls=\":\", lw=1)\n",
"axs[1, 1].hlines(plmo14.calculate_core_radius(pl_c_10_PAPER.core_mass), pl_c_10_PAPER.age, 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"\n",
"dy = 1.25\n",
"axs[2, 1].text(575, 3.19+dy, \"thermal contraction\", fontsize=11.5, rotation=-12.5)\n",
"axs[2, 1].text(570, 2.82+dy, \"without mass loss\", fontsize=11.5, rotation=-12.5)\n",
"#xkcd:goldenrod\n",
"\n",
"# 5 mcore\n",
"axs[2, 1].plot(t1_c_5P, R1_c_5P, label=r\"fast track\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[2, 1].plot(t2_c_5P, R2_c_5P, label=r\"medim track\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[2, 1].plot(t3_c_5P, R3_c_5P, label=r\"slow track\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[2, 1].plot(age_arr, plmo14.calculate_planet_radius(pl_c_5_PAPER.core_mass, pl_c_5_PAPER.fenv, age_arr, pl_c_5_PAPER.flux, pl_c_5_PAPER.metallicity), color=\"k\", ls=\":\", lw=1)\n",
"axs[2, 1].hlines(plmo14.calculate_core_radius(pl_c_5_PAPER.core_mass), pl_c_5_PAPER.age, 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"axs[2, 1].text(1475, 1.55, \"core radius\", fontsize=11.5)\n",
"\n",
"axs[0, 0].legend(fontsize=10, loc=3)\n",
"for ax in [axs[0, 0], axs[1, 0], axs[2, 0]]:\n",
" ax.set_xscale(\"log\")\n",
" ax.set_xticks([23, 100, 300, 1000, 5000])\n",
" ax.set_xlim(right= 6000)\n",
" ax.xaxis.set_major_formatter(ticker.StrMethodFormatter('{x:.0f}'))\n",
" ax.tick_params(direction=\"in\", which=\"both\", labelsize=16)\n",
" ax.set_xlabel(\"Time [Myr]\", fontsize=16, labelpad=8)\n",
" ax.set_ylabel('M [M$_\\oplus$]', fontsize=16, labelpad=8)\n",
" ax.xaxis.set_major_formatter(FormatStrFormatter('%.0f')) # No decimal places\n",
" ax.yaxis.set_major_formatter(FormatStrFormatter('%.1f')) # No decimal places\n",
"\n",
"ylim = axs[2, 0].get_ylim()\n",
"axs[2, 0].set_ylim(top=ylim[1]+0.02)\n",
"ylim = axs[1, 0].get_ylim()\n",
"axs[1, 0].set_ylim(top=11.02)\n",
" \n",
"for ax in [axs[0, 1], axs[1, 1], axs[2, 1]]:\n",
" ax.set_xscale(\"log\")\n",
" ax.set_xticks([23, 100, 300, 1000, 5000])\n",
" ax.set_xlim(right= 6000)\n",
" ax.tick_params(direction=\"in\", which=\"both\", labelsize=16)\n",
" ax.set_xlabel(\"Time [Myr]\", fontsize=16, labelpad=8)\n",
" ax.set_ylabel('R [R$_\\oplus$]', fontsize=16, labelpad=8)\n",
" ax.xaxis.set_major_formatter(FormatStrFormatter('%.0f')) # No decimal places\n",
" ax.yaxis.set_major_formatter(FormatStrFormatter('%.1f')) # No decimal places\n",
"\n",
"plt.subplots_adjust(hspace=0, wspace=0.25)\n",
"fig.align_ylabels(axs[:, 0])\n",
"fig.align_ylabels(axs[:, 1])\n",
"#plt.tight_layout()\n",
"#plt.savefig(\"./planet_c_EVO_eps01_Zsun.jpg\", dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Planet c - larger labels for in-text plot"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axs = plt.subplots(3,2, figsize=(13,10), sharex=True, sharey=False)\n",
"fig.suptitle(\"Planet c\")\n",
"fig.subplots_adjust(top=0.93)\n",
"\n",
"# Otegi/heavy\n",
"axs[0, 0].plot(t1_c_OtP, (M1_c_OtP), label=\"high activity track\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[0, 0].plot(t2_c_OtP, (M2_c_OtP), label=\"medium activity track\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[0, 0].plot(t3_c_OtP, (M3_c_OtP), label=\"low activity track\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"\n",
"# 10Mcore\n",
"axs[1, 0].plot(t1_c_10P, (M1_c_10P), label=r\"fast, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[1, 0].plot(t2_c_10P, (M2_c_10P), label=r\"med, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[1, 0].plot(t3_c_10P, (M3_c_10P), label=r\"slow, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[1, 0].hlines(pl_c_10_PAPER.core_mass, t1_c_10P[0], 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"\n",
"# 5Mcore\n",
"axs[2, 0].plot(t1_c_5P, (M1_c_5P), label=r\"high activity track\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[2, 0].plot(t2_c_5P, (M2_c_5P), label=r\"medium activity track\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[2, 0].plot(t3_c_5P, (M3_c_5P), label=r\"low activity track\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[2, 0].hlines(pl_c_5_PAPER.core_mass, t1_c_5P[0], 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"axs[2, 0].text(1200, 5.006, \"core mass\", fontsize=15)\n",
"\n",
"#radii\n",
"# Otegi/heavy\n",
"axs[0, 1].plot(t1_c_OtP, (R1_c_OtP), label=r\"fast, step = 1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[0, 1].plot(t2_c_OtP, (R2_c_OtP), label=r\"med, step = 1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[0, 1].plot(t3_c_OtP, (R3_c_OtP), label=r\"slow, step = 1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"\n",
"# 10Mcore\n",
"axs[1, 1].plot(t1_c_10P, (R1_c_10P), label=r\"fast, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[1, 1].plot(t2_c_10P, (R2_c_10P), label=r\"med, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[1, 1].plot(t3_c_10P, (R3_c_10P), label=r\"slow, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"age_arr = np.linspace(23., 5000., 1000)\n",
"axs[1, 1].plot(age_arr, plmo14.calculate_planet_radius(pl_c_10_PAPER.core_mass, pl_c_10_PAPER.fenv, age_arr, pl_c_10_PAPER.flux, pl_c_10_PAPER.metallicity), color=\"k\", ls=\":\", lw=1)\n",
"axs[1, 1].hlines(plmo14.calculate_core_radius(pl_c_10_PAPER.core_mass), pl_c_10_PAPER.age, 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"\n",
"dy = 1.3\n",
"axs[2, 1].text(345, 3.31+dy, \"thermal contraction\", fontsize=15, rotation=-12.5)\n",
"axs[2, 1].text(340, 2.9+dy, \"without mass loss\", fontsize=15, rotation=-12.5)\n",
"#xkcd:goldenrod\n",
"\n",
"# 5 mcore\n",
"axs[2, 1].plot(t1_c_5P, (R1_c_5P), label=r\"fast track\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[2, 1].plot(t2_c_5P, (R2_c_5P), label=r\"medim track\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[2, 1].plot(t3_c_5P, (R3_c_5P), label=r\"slow track\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[2, 1].plot(age_arr, plmo14.calculate_planet_radius(pl_c_5_PAPER.core_mass, pl_c_5_PAPER.fenv, age_arr, pl_c_5_PAPER.flux, pl_c_5_PAPER.metallicity), color=\"k\", ls=\":\", lw=1)\n",
"axs[2, 1].hlines(plmo14.calculate_core_radius(pl_c_5_PAPER.core_mass), pl_c_5_PAPER.age, 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"axs[2, 1].text(1075, 1.55, \"core radius\", fontsize=15)\n",
"\n",
"axs[2, 0].legend(fontsize=15)#, loc=3)\n",
"for ax in [axs[0, 0], axs[1, 0], axs[2, 0]]:\n",
" ax.set_xscale(\"log\")\n",
" ax.set_xticks([23, 100, 300, 1000, 5000])\n",
" ax.set_xlim(right= 6000)\n",
" ax.xaxis.set_major_formatter(ticker.StrMethodFormatter('{x:.0f}'))\n",
" ax.tick_params(direction=\"in\", which=\"both\", labelsize=18)\n",
" ax.set_xlabel(\"Time [Myr]\", fontsize=22, labelpad=8)\n",
" ax.set_ylabel('M [M$_\\oplus$]', fontsize=22, labelpad=8)\n",
" ax.xaxis.set_major_formatter(FormatStrFormatter('%.0f')) # No decimal places\n",
" ax.yaxis.set_major_formatter(FormatStrFormatter('%.1f')) # No decimal places\n",
"\n",
"ylim = axs[2, 0].get_ylim()\n",
"axs[2, 0].set_ylim(top=ylim[1]+0.02)\n",
"ylim = axs[1, 0].get_ylim()\n",
"axs[1, 0].set_ylim(top=11.02)\n",
" \n",
"for ax in [axs[0, 1], axs[1, 1], axs[2, 1]]:\n",
" ax.set_xscale(\"log\")\n",
" ax.set_xticks([23, 100, 300, 1000, 5000])\n",
" ax.set_xlim(right= 6000)\n",
" ax.tick_params(direction=\"in\", which=\"both\", labelsize=18)\n",
" ax.set_xlabel(\"Time [Myr]\", fontsize=22, labelpad=8)\n",
" ax.set_ylabel('R [R$_\\oplus$]', fontsize=22, labelpad=8)\n",
" ax.xaxis.set_major_formatter(FormatStrFormatter('%.0f')) # No decimal places\n",
" ax.yaxis.set_major_formatter(FormatStrFormatter('%.1f')) # No decimal places\n",
"\n",
"plt.subplots_adjust(hspace=0, wspace=0.25)\n",
"fig.align_ylabels(axs[:, 0])\n",
"fig.align_ylabels(axs[:, 1])\n",
"#plt.tight_layout()\n",
"#plt.savefig(\"./Plots_PAPER/planet_c_EVO_eps01_Zsun_largelabels.jpg\", dpi=300)\n",
"#plt.savefig(\"./Plots_PAPER/Fig9_largelabels.jpg\", dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot mass & radius evolution planet d"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axs = plt.subplots(3,2, figsize=(13,10), sharex=True, sharey=False)\n",
"\n",
"fig.suptitle(\"Planet d\")\n",
"#ax1.set_title(\"Planet c\")\n",
"fig.subplots_adjust(top=0.93)\n",
"\n",
"# Otegi/heavy\n",
"axs[0, 0].plot(t1_d_OtP, (M1_d_OtP), label=\"high activity track\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[0, 0].plot(t2_d_OtP, (M2_d_OtP), label=\"medium activity track\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[0, 0].plot(t3_d_OtP, (M3_d_OtP), label=\"low activity track\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"\n",
"# 10Mcore\n",
"axs[1, 0].plot(t1_d_10P, (M1_d_10P), label=r\"fast, step = 1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[1, 0].plot(t2_d_10P, (M2_d_10P), label=r\"med, step = 1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[1, 0].plot(t3_d_10P, (M3_d_10P), label=r\"slow, step = 1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[1, 0].hlines(pl_d_10_PAPER.core_mass, t1_d_10P[0], 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"axs[1, 0].text(25, 10.025, \"core mass\", fontsize=11.5)\n",
"\n",
"# 5Mcore\n",
"axs[2, 0].plot(t1_d_5P, (M1_d_5P), label=r\"fast, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[2, 0].plot(t2_d_5P, (M2_d_5P), label=r\"med, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[2, 0].plot(t3_d_5P, (M3_d_5P), label=r\"slow, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[2, 0].hlines(pl_d_5_PAPER.core_mass, t1_d_5P[0], 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"\n",
"#radii\n",
"# Otegi/heavy\n",
"axs[0, 1].plot(t1_d_OtP, (R1_d_OtP), label=r\"fast, step = 1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[0, 1].plot(t2_d_OtP, (R2_d_OtP), label=r\"med, step = 1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[0, 1].plot(t3_d_OtP, (R3_d_OtP), label=r\"slow, step = 1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"\n",
"# 10Mcore\n",
"axs[1, 1].plot(t1_d_10P, (R1_d_10P), label=r\"fast, step = 1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[1, 1].plot(t2_d_10P, (R2_d_10P), label=r\"med, step = 1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[1, 1].plot(t3_d_10P, (R3_d_10P), label=r\"slow, step = 1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"age_arr = np.linspace(23., 5000., 1000)\n",
"axs[1, 1].plot(age_arr, plmo14.calculate_planet_radius(pl_d_10_PAPER.core_mass, pl_d_10_PAPER.fenv, age_arr, pl_d_10_PAPER.flux, pl_d_10_PAPER.metallicity), color=\"k\", ls=\":\", lw=1)\n",
"axs[1, 1].hlines(plmo14.calculate_core_radius(pl_d_10_PAPER.core_mass), pl_d_10_PAPER.age, 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"axs[1, 1].text(25, 1.9, \"core radius\", fontsize=11.5)\n",
"\n",
"# 5 mcore\n",
"axs[2, 1].plot(t1_d_5P, (R1_d_5P), label=r\"fast track\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[2, 1].plot(t2_d_5P, (R2_d_5P), label=r\"medim track\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[2, 1].plot(t3_d_5P, (R3_d_5P), label=r\"slow track\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[2, 1].plot(age_arr, plmo14.calculate_planet_radius(pl_d_5_PAPER.core_mass, pl_d_5_PAPER.fenv, age_arr, pl_d_5_PAPER.flux, pl_d_5_PAPER.metallicity), color=\"k\", ls=\":\", lw=1)\n",
"axs[2, 1].hlines(plmo14.calculate_core_radius(pl_d_5_PAPER.core_mass), pl_d_5_PAPER.age, 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"dy = 1.82\n",
"axs[2, 1].text(575, 3.25+dy, \"thermal contraction\", fontsize=11.5, rotation=-13)\n",
"axs[2, 1].text(570, 2.8+dy, \"without mass loss\", fontsize=11.5, rotation=-13)\n",
"\n",
"axs[0, 0].legend(fontsize=10, loc=3)\n",
"for ax in [axs[0, 0], axs[1, 0], axs[2, 0]]:\n",
" ax.set_xscale(\"log\")\n",
" ax.set_xticks([23, 100, 300, 1000, 5000])\n",
" ax.set_xlim(right= 6000)\n",
" ax.xaxis.set_major_formatter(ticker.StrMethodFormatter('{x:.0f}'))\n",
" ax.tick_params(direction=\"in\", which=\"both\", labelsize=16)\n",
" ax.set_xlabel(\"Time [Myr]\", fontsize=16, labelpad=8)\n",
" ax.set_ylabel('M [M$_\\oplus$]', fontsize=16, labelpad=8)\n",
" ax.xaxis.set_major_formatter(FormatStrFormatter('%.0f')) # No decimal places\n",
" ax.yaxis.set_major_formatter(FormatStrFormatter('%.1f')) # No decimal places\n",
"\n",
"ylim = axs[2, 0].get_ylim()\n",
"axs[2, 0].set_ylim(top=ylim[1]+0.02)\n",
"ylim = axs[1, 0].get_ylim()\n",
"axs[1, 0].set_ylim(top=11.55)\n",
" \n",
"for ax in [axs[0, 1], axs[1, 1], axs[2, 1]]:\n",
" ax.set_xscale(\"log\")\n",
" ax.set_xticks([23, 100, 300, 1000, 5000])\n",
" ax.set_xlim(right= 6000)\n",
" ax.tick_params(direction=\"in\", which=\"both\", labelsize=16)\n",
" ax.set_xlabel(\"Time [Myr]\", fontsize=16, labelpad=8)\n",
" ax.set_ylabel('R [R$_\\oplus$]', fontsize=16, labelpad=8)\n",
" ax.xaxis.set_major_formatter(FormatStrFormatter('%.0f')) # No decimal places\n",
" ax.yaxis.set_major_formatter(FormatStrFormatter('%.1f')) # No decimal places\n",
"\n",
"axs[0,1].yaxis.set_major_formatter(FormatStrFormatter('%.2f')) # No decimal places\n",
"plt.subplots_adjust(hspace=0, wspace=0.25)\n",
"fig.align_ylabels(axs[:, 0])\n",
"fig.align_ylabels(axs[:, 1])\n",
"#plt.tight_layout()\n",
"#plt.savefig(\"./planet_d_EVO_eps01_Zsun.jpg\", dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Planet d - larger labels for in-text plot"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axs = plt.subplots(3,2, figsize=(13,10), sharex=True, sharey=False)\n",
"fig.suptitle(\"Planet d\")\n",
"fig.subplots_adjust(top=0.93)\n",
"\n",
"# Otegi/heavy\n",
"axs[0, 0].plot(t1_d_OtP, (M1_d_OtP), label=\"high activity track\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[0, 0].plot(t2_d_OtP, (M2_d_OtP), label=\"medium activity track\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[0, 0].plot(t3_d_OtP, (M3_d_OtP), label=\"low activity track\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"\n",
"# 10Mcore\n",
"axs[1, 0].plot(t1_d_10P, (M1_d_10P), label=r\"fast, step = 1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[1, 0].plot(t2_d_10P, (M2_d_10P), label=r\"med, step = 1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[1, 0].plot(t3_d_10P, (M3_d_10P), label=r\"slow, step = 1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[1, 0].hlines(pl_d_10_PAPER.core_mass, t1_d_10P[0], 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"axs[1, 0].text(25, 10.025, \"core mass\", fontsize=15)\n",
"\n",
"# 5Mcore\n",
"axs[2, 0].plot(t1_d_5P, (M1_d_5P), label=r\"high activity track\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[2, 0].plot(t2_d_5P, (M2_d_5P), label=r\"medium activity track\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[2, 0].plot(t3_d_5P, (M3_d_5P), label=r\"low activity track\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[2, 0].hlines(pl_d_5_PAPER.core_mass, t1_d_5P[0], 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"\n",
"#radii\n",
"# Otegi/heavy\n",
"axs[0, 1].plot(t1_d_OtP, (R1_d_OtP), label=r\"fast, step = 1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[0, 1].plot(t2_d_OtP, (R2_d_OtP), label=r\"med, step = 1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[0, 1].plot(t3_d_OtP, (R3_d_OtP), label=r\"slow, step = 1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"\n",
"# 10Mcore\n",
"axs[1, 1].plot(t1_d_10P, (R1_d_10P), label=r\"fast, step = 1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[1, 1].plot(t2_d_10P, (R2_d_10P), label=r\"med, step = 1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[1, 1].plot(t3_d_10P, (R3_d_10P), label=r\"slow, step = 1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"age_arr = np.linspace(23., 5000., 1000)\n",
"axs[1, 1].plot(age_arr, plmo14.calculate_planet_radius(pl_d_10_PAPER.core_mass, pl_d_10_PAPER.fenv, age_arr, pl_d_10_PAPER.flux, pl_d_10_PAPER.metallicity), color=\"k\", ls=\":\", lw=1)\n",
"axs[1, 1].hlines(plmo14.calculate_core_radius(pl_d_10_PAPER.core_mass), pl_d_10_PAPER.age, 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"axs[1, 1].text(25, 1.9, \"core radius\", fontsize=15)\n",
"\n",
"# 5 mcore\n",
"axs[2, 1].plot(t1_d_5P, (R1_d_5P), label=r\"high activity track\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[2, 1].plot(t2_d_5P, (R2_d_5P), label=r\"medium activity track\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[2, 1].plot(t3_d_5P, (R3_d_5P), label=r\"low activity track\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[2, 1].plot(age_arr, plmo14.calculate_planet_radius(pl_d_5_PAPER.core_mass, pl_d_5_PAPER.fenv, age_arr, pl_d_5_PAPER.flux, pl_d_5_PAPER.metallicity), color=\"k\", ls=\":\", lw=1)\n",
"axs[2, 1].hlines(plmo14.calculate_core_radius(pl_d_5_PAPER.core_mass), pl_d_5_PAPER.age, 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"\n",
"dy = 1.88\n",
"axs[2, 1].text(345, 3.33+dy, \"thermal contraction\", fontsize=15, rotation=-12.5)\n",
"axs[2, 1].text(340, 2.87+dy, \"without mass loss\", fontsize=15, rotation=-12.5)\n",
"\n",
"axs[2, 0].legend(fontsize=15)\n",
"for ax in [axs[0, 0], axs[1, 0], axs[2, 0]]:\n",
" ax.set_xscale(\"log\")\n",
" ax.set_xticks([23, 100, 300, 1000, 5000])\n",
" ax.set_xlim(right= 6000)\n",
" ax.xaxis.set_major_formatter(ticker.StrMethodFormatter('{x:.0f}'))\n",
" ax.tick_params(direction=\"in\", which=\"both\", labelsize=18)\n",
" ax.set_xlabel(\"Time [Myr]\", fontsize=22, labelpad=8)\n",
" ax.set_ylabel('M [M$_\\oplus$]', fontsize=22, labelpad=8)\n",
" ax.xaxis.set_major_formatter(FormatStrFormatter('%.0f')) # No decimal places\n",
" ax.yaxis.set_major_formatter(FormatStrFormatter('%.1f')) # No decimal places\n",
"\n",
"ylim = axs[2, 0].get_ylim()\n",
"axs[2, 0].set_ylim(top=ylim[1]+0.02)\n",
"ylim = axs[1, 0].get_ylim()\n",
"axs[1, 0].set_ylim(top=11.55)\n",
" \n",
"for ax in [axs[0, 1], axs[1, 1], axs[2, 1]]:\n",
" ax.set_xscale(\"log\")\n",
" ax.set_xticks([23, 100, 300, 1000, 5000])\n",
" ax.set_xlim(right= 6000)\n",
" ax.tick_params(direction=\"in\", which=\"both\", labelsize=18)\n",
" ax.set_xlabel(\"Time [Myr]\", fontsize=22, labelpad=8)\n",
" ax.set_ylabel('R [R$_\\oplus$]', fontsize=22, labelpad=8)\n",
" ax.xaxis.set_major_formatter(FormatStrFormatter('%.0f')) # No decimal places\n",
" ax.yaxis.set_major_formatter(FormatStrFormatter('%.1f')) # No decimal places\n",
"\n",
"axs[0,1].yaxis.set_major_formatter(FormatStrFormatter('%.1f')) # No decimal places\n",
"plt.subplots_adjust(hspace=0, wspace=0.25)\n",
"fig.align_ylabels(axs[:, 0])\n",
"fig.align_ylabels(axs[:, 1])\n",
"#plt.tight_layout()\n",
"#plt.savefig(\"./Plots_PAPER/planet_d_EVO_eps01_Zsun_largelabels.jpg\", dpi=300)\n",
"#plt.savefig(\"./Plots_PAPER/Fig10_largelabels.jpg\", dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot mass & radius evolution planet b"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
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""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axs = plt.subplots(3,2, figsize=(13,10), sharex=True, sharey=False)\n",
"fig.suptitle(\"Planet b\")\n",
"fig.subplots_adjust(top=0.93)\n",
"\n",
"# Otegi/heavy\n",
"axs[0, 0].plot(t1_b_OtP, (M1_b_OtP), label=\"high activity track\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[0, 0].plot(t2_b_OtP, (M2_b_OtP), label=\"medium activity track\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[0, 0].plot(t3_b_OtP, (M3_b_OtP), label=\"low activity track\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"\n",
"# 10Mcore\n",
"axs[1, 0].plot(t1_b_10P, (M1_b_10P), label=r\"fast, step = 1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[1, 0].plot(t2_b_10P, (M2_b_10P), label=r\"med, step = 1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[1, 0].plot(t3_b_10P, (M3_b_10P), label=r\"slow, step = 1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"#axs[1, 0].hlines(M_core10/MEc, t1_b_10[0], 5000., ls=\"--\", color=\"k\", lw=0.9)\n",
"#axs[1, 0].text(25, 10.025, \"core mass\", fontsize=11.5)\n",
"\n",
"# 5Mcore\n",
"axs[2, 0].plot(t1_b_5P, (M1_b_5P), label=r\"fast, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[2, 0].plot(t2_b_5P, (M2_b_5P), label=r\"med, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[2, 0].plot(t3_b_5P, (M3_b_5P), label=r\"slow, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[2, 0].hlines(pl_b_5_PAPER.core_mass, t1_b_5P[0], 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"axs[2, 0].text(1600, 5.03, \"core mass\", fontsize=11.5)\n",
"\n",
"#radii\n",
"# Otegi/heavy\n",
"axs[0, 1].plot(t1_b_OtP, (R1_b_OtP), label=r\"fast, step = 1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[0, 1].plot(t2_b_OtP, (R2_b_OtP), label=r\"med, step = 1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[0, 1].plot(t3_b_OtP, (R3_b_OtP), label=r\"slow, step = 1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"\n",
"# 10Mcore\n",
"axs[1, 1].plot(t1_b_10P, (R1_b_10P), label=r\"fast, step = 1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[1, 1].plot(t2_b_10P, (R2_b_10P), label=r\"med, step = 1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[1, 1].plot(t3_b_10P, (R3_b_10P), label=r\"slow, step = 1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"age_arr = np.linspace(23., 5000., 1000)\n",
"axs[1, 1].plot(age_arr, plmo14.calculate_planet_radius(pl_b_10_PAPER.core_mass, pl_b_10_PAPER.fenv, age_arr, pl_b_10_PAPER.flux, pl_b_10_PAPER.metallicity), color=\"k\", ls=\":\", lw=1)\n",
"\n",
"# 5 mcore\n",
"axs[2, 1].plot(t1_b_5P, (R1_b_5P), label=r\"fast track\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[2, 1].plot(t2_b_5P, (R2_b_5P), label=r\"medim track\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[2, 1].plot(t3_b_5P, (R3_b_5P), label=r\"slow track\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[2, 1].plot(age_arr, plmo14.calculate_planet_radius(pl_b_5_PAPER.core_mass, pl_b_5_PAPER.fenv, age_arr, pl_b_5_PAPER.flux, pl_b_5_PAPER.metallicity), color=\"k\", ls=\":\", lw=1)\n",
"axs[2, 1].hlines(plmo14.calculate_core_radius(pl_b_5_PAPER.core_mass), pl_d_5_PAPER.age, 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"dy = 4.27\n",
"axs[2, 1].text(575, 3.6+dy, \"thermal contraction\", fontsize=11.5, rotation=-13)\n",
"axs[2, 1].text(570, 2.8+dy, \"without mass loss\", fontsize=11.5, rotation=-13)\n",
"axs[2, 1].hlines(plmo14.calculate_core_radius(pl_b_5_PAPER.core_mass), t1_b_5P[0], 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"axs[2, 1].text(1475, 1.62, \"core radius\", fontsize=11.5)\n",
"\n",
"# box with core & radius for 10Mcore planet\n",
"bbox_props = dict(boxstyle=\"round\", fc=\"w\", ec=\"0.5\", alpha=0.9)\n",
"axs[1, 0].text(22, 13.65, r\"M$_{core}\\,=\\,10\\,$M$_{\\oplus}$\", va=\"center\", size=11, bbox=bbox_props)\n",
"axs[1, 1].text(22, 5.7, r\"R$_{core}\\,\\approx\\,1.8\\,$R$_{\\oplus}$\", va=\"center\", size=11, bbox=bbox_props)\n",
"\n",
"axs[0, 0].legend(fontsize=10, loc=3)\n",
"for ax in [axs[0, 0], axs[1, 0], axs[2, 0]]:\n",
" ax.set_xscale(\"log\")\n",
" ax.set_xticks([23, 100, 300, 1000, 5000])\n",
" ax.set_xlim(right= 6000)\n",
" ax.xaxis.set_major_formatter(ticker.StrMethodFormatter('{x:.0f}'))\n",
" ax.tick_params(direction=\"in\", which=\"both\", labelsize=16)\n",
" ax.set_xlabel(\"Time [Myr]\", fontsize=16, labelpad=8)\n",
" ax.set_ylabel('M [M$_\\oplus$]', fontsize=16, labelpad=8)\n",
" ax.xaxis.set_major_formatter(FormatStrFormatter('%.0f')) # No decimal places\n",
" ax.yaxis.set_major_formatter(FormatStrFormatter('%.1f')) # No decimal places\n",
"\n",
"for ax in [axs[0, 1], axs[1, 1], axs[2, 1]]:\n",
" ax.set_xscale(\"log\")\n",
" ax.set_xticks([23, 100, 300, 1000, 5000])\n",
" ax.set_xlim(right= 6000)\n",
" ax.tick_params(direction=\"in\", which=\"both\", labelsize=16)\n",
" ax.set_xlabel(\"Time [Myr]\", fontsize=16, labelpad=8)\n",
" ax.set_ylabel('R [R$_\\oplus$]', fontsize=16, labelpad=8)\n",
" ax.xaxis.set_major_formatter(FormatStrFormatter('%.0f')) # No decimal places\n",
" ax.yaxis.set_major_formatter(FormatStrFormatter('%.1f')) # No decimal places\n",
" \n",
"axs[0,1].yaxis.set_major_formatter(FormatStrFormatter('%.2f')) # No decimal places\n",
"plt.subplots_adjust(hspace=0, wspace=0.25)\n",
"fig.align_ylabels(axs[:, 0])\n",
"fig.align_ylabels(axs[:, 1])\n",
"#plt.tight_layout()\n",
"#plt.savefig(\"./planet_b_EVO_eps01_Zsun.jpg\", dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot mass & radius evolution planet e"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axs = plt.subplots(3,2, figsize=(13,10), sharex=True, sharey=False)\n",
"fig.suptitle(\"Planet e\")\n",
"fig.subplots_adjust(top=0.93)\n",
"\n",
"# Otegi/heavy\n",
"axs[0, 0].plot(t1_e_OtP, (M1_e_OtP), label=\"high activity track\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[0, 0].plot(t2_e_OtP, (M2_e_OtP), label=\"medium activity track\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[0, 0].plot(t3_e_OtP, (M3_e_OtP), label=\"low activity track\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"\n",
"# 10Mcore\n",
"axs[1, 0].plot(t1_e_10P, (M1_e_10P), label=r\"fast, step = 1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[1, 0].plot(t2_e_10P, (M2_e_10P), label=r\"med, step = 1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[1, 0].plot(t3_e_10P, (M3_e_10P), label=r\"slow, step = 1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"#axs[1, 0].hlines(M_core10/MEc, t1_e_10[0], 5000., ls=\"--\", color=\"k\", lw=0.9)\n",
"#axs[1, 0].text(25, 10.025, \"core mass\", fontsize=11.5)\n",
"\n",
"# 5Mcore\n",
"axs[2, 0].plot(t1_e_5P, (M1_e_5P), label=r\"fast, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[2, 0].plot(t2_e_5P, (M2_e_5P), label=r\"med, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[2, 0].plot(t3_e_5P, (M3_e_5P), label=r\"slow, step = 0.1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[2, 0].hlines(pl_e_5_PAPER.core_mass, t1_e_5P[0], 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"axs[2, 0].text(1600, 5.03, \"core mass\", fontsize=11.5)\n",
"\n",
"#radii\n",
"# Otegi/heavy\n",
"axs[0, 1].plot(t1_e_OtP, (R1_e_OtP), label=r\"fast, step = 1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[0, 1].plot(t2_e_OtP, (R2_e_OtP), label=r\"med, step = 1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[0, 1].plot(t3_e_OtP, (R3_e_OtP), label=r\"slow, step = 1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"\n",
"# 10Mcore\n",
"axs[1, 1].plot(t1_e_10P, (R1_e_10P), label=r\"fast, step = 1 Myr\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[1, 1].plot(t2_e_10P, (R2_e_10P), label=r\"med, step = 1 Myr\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[1, 1].plot(t3_e_10P, (R3_e_10P), label=r\"slow, step = 1 Myr\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"age_arr = np.linspace(23., 5000., 1000)\n",
"axs[1, 1].plot(age_arr, plmo14.calculate_planet_radius(pl_e_10_PAPER.core_mass, pl_e_10_PAPER.fenv, age_arr, pl_e_10_PAPER.flux, pl_e_10_PAPER.metallicity), color=\"k\", ls=\":\", lw=1)\n",
"\n",
"# 5 mcore\n",
"axs[2, 1].plot(t1_e_5P, (R1_e_5P), label=r\"fast track\", ls=\"-\", color=\"xkcd:royal blue\", lw=1, zorder=3)\n",
"axs[2, 1].plot(t2_e_5P, (R2_e_5P), label=r\"medim track\", ls=\"-\", color=\"xkcd:grey\", lw=2.5, zorder=2)\n",
"axs[2, 1].plot(t3_e_5P, (R3_e_5P), label=r\"slow track\", ls=\"-\", color=\"xkcd:red\", lw=1.5, zorder=1)\n",
"axs[2, 1].plot(age_arr, plmo14.calculate_planet_radius(pl_e_5_PAPER.core_mass, pl_e_5_PAPER.fenv, age_arr, pl_e_5_PAPER.flux, pl_e_5_PAPER.metallicity), color=\"k\", ls=\":\", lw=1)\n",
"axs[2, 1].hlines(plmo14.calculate_core_radius(pl_e_5_PAPER.core_mass), pl_e_5_PAPER.age, 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"dy = 2.6\n",
"axs[2, 1].annotate('thermal contraction \\nwithout mass loss', xy=(1500, 3.5+dy), xytext=(1900, 7.3), fontsize=12, ha='center',\n",
" arrowprops=dict(arrowstyle=\"->\"))\n",
"axs[2, 1].hlines(plmo14.calculate_core_radius(pl_e_5_PAPER.core_mass), t1_e_5P[0], 5000., linestyle=\"--\", color=\"k\", lw=0.9)\n",
"axs[2, 1].text(1475, 1.62, \"core radius\", fontsize=11.5)\n",
"\n",
"# box with core & radius for 10Mcore planet\n",
"bbox_props = dict(boxstyle=\"round\", fc=\"w\", ec=\"0.5\", alpha=0.9)\n",
"axs[1, 0].text(22, 13.77, r\"M$_{core}\\,=\\,10\\,$M$_{\\oplus}$\", va=\"center\", size=11, bbox=bbox_props)\n",
"axs[1, 1].text(22, 5.5, r\"R$_{core}\\,\\approx\\,1.8\\,$R$_{\\oplus}$\", va=\"center\", size=11, bbox=bbox_props)\n",
"\n",
"axs[0, 0].legend(fontsize=10, loc=3)\n",
"for ax in [axs[0, 0], axs[1, 0], axs[2, 0]]:\n",
" ax.set_xscale(\"log\")\n",
" ax.set_xticks([23, 100, 300, 1000, 5000])\n",
" ax.set_xlim(right= 6000)\n",
" ax.xaxis.set_major_formatter(ticker.StrMethodFormatter('{x:.0f}'))\n",
" ax.tick_params(direction=\"in\", which=\"both\", labelsize=16)\n",
" ax.set_xlabel(\"Time [Myr]\", fontsize=16, labelpad=8)\n",
" ax.set_ylabel('M [M$_\\oplus$]', fontsize=16, labelpad=8)\n",
" ax.xaxis.set_major_formatter(FormatStrFormatter('%.0f')) # No decimal places\n",
" ax.yaxis.set_major_formatter(FormatStrFormatter('%.1f')) # No decimal places\n",
" \n",
"for ax in [axs[0, 1], axs[1, 1], axs[2, 1]]:\n",
" ax.set_xscale(\"log\")\n",
" ax.set_xticks([23, 100, 300, 1000, 5000])\n",
" ax.set_xlim(right= 6000)\n",
" ax.tick_params(direction=\"in\", which=\"both\", labelsize=16)\n",
" ax.set_xlabel(\"Time [Myr]\", fontsize=16, labelpad=8)\n",
" ax.set_ylabel('R [R$_\\oplus$]', fontsize=16, labelpad=8)\n",
" ax.xaxis.set_major_formatter(FormatStrFormatter('%.0f')) # No decimal places\n",
" ax.yaxis.set_major_formatter(FormatStrFormatter('%.1f')) # No decimal places\n",
" \n",
"axs[0,1].yaxis.set_major_formatter(FormatStrFormatter('%.2f')) # No decimal places\n",
"plt.subplots_adjust(hspace=0, wspace=0.25)\n",
"fig.align_ylabels(axs[:, 0])\n",
"fig.align_ylabels(axs[:, 1])\n",
"#plt.tight_layout()\n",
"#plt.savefig(\"./planet_e_EVO_eps01_Zsun.jpg\", dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Evolution of planets in the Radius-Period diagram"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [],
"source": [
"# Instantiate exoplanetEU2 object (download all the planets)\n",
"v = pyasl.ExoplanetEU2()\n",
"# Export all data as a pandas DataFrame\n",
"planets = v.getAllDataPandas()\n",
"planets_masses = planets[~np.isnan(planets[\"mass\"])]\n",
"\n",
"mask_nan = ~(np.isnan(planets[\"orbital_period\"]) | np.isnan(planets[\"radius\"]))\n",
"mask_P = planets[\"orbital_period\"]<300\n",
"planets_ = planets[mask_nan & mask_P] # dataframe only with planets which have P & R\n",
"\n",
"R_to_earth = 11.2\n",
"period = planets_[\"orbital_period\"].values\n",
"radius = planets_[\"radius\"].values*R_to_earth\n",
"ds = planets_[\"semi_major_axis\"].values\n",
"\n",
"# Gaussian kernel density estimation\n",
"# actual data -> transform to log space\n",
"log3P = np.log(period)/np.log(3)\n",
"log2R = np.log(radius)/np.log(2)\n",
"\n",
"# make a grid (in log space - to match the data)\n",
"n = np.arange(log3P.min(),log3P.max()+1,1)\n",
"m = np.arange(log2R.min(),log2R.max()+1,1)\n",
"nn, mm = np.mgrid[n.min():n.max():200j, m.min():m.max():200j] \n",
"\n",
"nm_sample = np.vstack([nn.ravel(), mm.ravel()]).T # now I have a grid of points covering my radii and periods\n",
"nm_train = np.vstack([log3P, log2R]).T # this is my data in grid-form\n",
"\n",
"# construct a Gaussian kernel density estimate of the distribution\n",
"kde = KernelDensity(bandwidth=0.25, kernel='gaussian')\n",
"kde.fit(nm_train) # fit/load real dataset\n",
"\n",
"# score_samples() returns the log-likelihood of the samples\n",
"prob_density = np.exp(kde.score_samples(nm_sample))\n",
"# nm_sample is the range/grid over which I compute the density based on the data (2-D)\n",
"prob_density = np.reshape(prob_density, nn.shape)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Evolution of planet in Radius-Period diagram"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {},
"outputs": [],
"source": [
"# V1298 Tau Planets\n",
"P_c, P_d, P_b, P_e = 8.24958, 12.4032, 24.1396, 60# days\n",
"#P_c_err = abs(np.array([[-0.00072], [+0.00072]]))\n",
"#P_d_err = abs(np.array([[-0.0015], [+0.0015]]))\n",
"#P_b_err = abs(np.array([[-0.0018], [+0.0018]]))\n",
"#P_e_err = abs(np.array([[-18], [+60]]))"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"5.589999999999961"
]
},
"execution_count": 80,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"age_5Gyr = 5000.\n",
"star_V1298Tau[\"age\"] = age_5Gyr\n",
"planet_c = {\"core_mass\": 5.0, \"fenv\": 21.46122186655056, \"distance\": a_c, \"metallicity\": \"solarZ\"}\n",
"planet_LoFo14(star_V1298Tau, planet_c).radius\n",
"\n",
"#planet_d = {\"core_mass\": 5.0, \"radius\": R_d, \"distance\": a_d, \"metallicity\": \"solarZ\"}\n",
"#planet_b = {\"core_mass\": 5.0, \"radius\": R_b, \"distance\": a_b, \"metallicity\": \"solarZ\"}\n",
"#planet_e = {\"core_mass\": 5.0, \"radius\": R_e, \"distance\": a_e, \"metallicity\": \"solarZ\"}\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(12,8))\n",
"\n",
"# plot gaussian kernel density of known exoplanet population\n",
"ax.contourf(3**nn, 2**mm, prob_density, cmap=\"binary\", levels=15, alpha=0.5)\n",
"#plt.plot(log3P, log2R, marker=\".\", ls=\"None\", alpha=0.1, c=\"r\") # actual data points (before smoothing)\n",
"\n",
"#period-radius evaporation valley (van Eylen)\n",
"p6, = plt.plot(np.linspace(1,100,100), 10**(-0.09*np.log10(np.linspace(1,100,100))+0.37), linestyle='--', lw=2, color='xkcd:black', label='Evaporation valley \\n(Van Eylen et al. 2018)')\n",
"\n",
"ax.plot(P_c, R_c, marker=\"*\", color=\"xkcd:pale yellow\", mec=\"black\", ms=23)\n",
"ax.plot(P_d, R_d, marker=\"*\", color=\"xkcd:pale yellow\", mec=\"black\", ms=23)\n",
"ax.plot(P_b, R_b, marker=\"*\", color=\"xkcd:pale yellow\", mec=\"black\", ms=23)\n",
"ax.plot(P_e, R_e, marker=\"*\", color=\"xkcd:pale yellow\", mec=\"black\", ms=23)\n",
"\n",
"# plot planetary evolution tracks\n",
"# draw mark where final radius after thermal contraction without mass loss is as black triangle!\n",
"######################################################################################################################################\n",
"# planet c\n",
"# M_core = 5\n",
"mspp = 4 # marker size of thermal evo marker\n",
"mspp_5 = 10 # marker size of planet positions (5coremass)\n",
"mspp_10 = 8 # marker size of planet positions (5coremass)\n",
"dP = 0.3\n",
"\n",
"ax.plot(P_c-dP, R1_c_5[-1], color=\"xkcd:royal blue\", alpha=1, marker=\"o\", ms=mspp_5, mew=1, mec=\"xkcd:black\")#marker=\"x\", markersize=10, fillstyle=\"none\", markeredgewidth=2.5)\n",
"ax.vlines(P_c-dP, R1_c_5[0], R1_c_5[-1], color=\"xkcd:royal blue\", linestyle=\":\", alpha=0.5)\n",
"#ax.plot(P_c-dP, R2_c_5[-1], color=\"xkcd:grey\", alpha=1, marker=\"o\", ms=mspp_5, mew=1, mec=\"xkcd:black\", fillstyle=\"left\")\n",
"ax.plot(P_c-dP, R3_c_5[-1], color=\"xkcd:red\", alpha=1, marker=\"o\", ms=mspp_5, mew=1, mec=\"xkcd:black\", fillstyle=\"right\")#marker=\"x\", markersize=10, fillstyle=\"none\", markeredgewidth=2.5)\n",
"ax.vlines(P_c-dP, R_c, R3_c_5[-1], color=\"xkcd:red\", linestyle=\":\", alpha=0.5)\n",
"# final radius with thermal contraction only\n",
"# ax.plot(P_c-dP, calculate_planet_radius(pl_b_5.core_mass, pl_b_5.fenv, age_5Gyr, pl_b_5.flux), \n",
"# color=\"xkcd:black\", ls=\"None\", marker=\"^\", ms=mspp, mew=2, mec=\"xkcd:black\", alpha=1)\n",
"\n",
"\n",
"# # M_core = 10\n",
"# dP = -0.35\n",
"# ax.plot(P_c-dP, (M_core10/MEc)**0.25 if np.isnan(R1_c_01_10Mcore_Zsun_on).any() else R1_c_01_10Mcore_Zsun_on[-1]/RE, \n",
"# color=\"xkcd:royal blue\", alpha=1, marker=\"s\", ms=mspp_10, mew=1, mec=\"xkcd:black\")#marker=\"x\", markersize=10, fillstyle=\"none\", markeredgewidth=2.5)\n",
"# ax.vlines(P_c-dP, R_c, (M_core10/MEc)**0.25 if np.isnan(R1_c_01_10Mcore_Zsun_on).any() else R1_c_01_10Mcore_Zsun_on[-1]/RE, color=\"xkcd:royal blue\", ls=\":\", alpha=0.5)\n",
"\n",
"# ax.plot(P_c-dP, (M_core10/MEc)**0.25 if np.isnan(R2_c_01_10Mcore_Zsun_on).any() else R2_c_01_10Mcore_Zsun_on[-1]/RE, \n",
"# color=\"xkcd:grey\", alpha=1, marker=\"s\", ms=mspp_10, mew=1, mec=\"xkcd:black\")\n",
"\n",
"# ax.plot(P_c-dP, (M_core10/MEc)**0.25 if np.isnan(R3_c_01_10Mcore_Zsun_on).any() else R3_c_01_10Mcore_Zsun_on[-1]/RE, \n",
"# color=\"xkcd:red\", alpha=1, marker=\"s\", ms=mspp_10, mew=1, mec=\"xkcd:black\")#marker=\"x\", markersize=10, fillstyle=\"none\", markeredgewidth=2.5)\n",
"# ax.vlines(P_c-dP, R_c, (M_core10/MEc)**0.25 if np.isnan(R3_c_01_10Mcore_Zsun_on).any() else R3_c_01_10Mcore_Zsun_on[-1]/RE, color=\"xkcd:red\", ls=\":\", alpha=0.5)\n",
" \n",
"# ax.plot(P_c-dP, calculate_planet_radius_solarZ(M_core10, f_env_c_10core_Zsun, age_5Gyr, flux_c_solar)/REc, \n",
"# color=\"xkcd:black\", ls=\"None\", marker=\"^\", ms=mspp, mew=2, mec=\"xkcd:black\", alpha=1)\n",
"\n",
"# ######################################################################################################################################\n",
"# # planet d\n",
"# # M_core = 5\n",
"# dP = 0.5\n",
"# ax.plot(P_d-dP, (M_core5/MEc)**0.25 if np.isnan(R1_d_01_5Mcore_Zsun_on).any() else R1_d_01_5Mcore_Zsun_on[-1]/RE, \n",
"# color=\"xkcd:royal blue\", alpha=1, marker=\"o\", ms=mspp_5, mew=1, mec=\"xkcd:black\")#marker=\"x\", markersize=10, fillstyle=\"none\", markeredgewidth=2.5)\n",
"# ax.vlines(P_d-dP, R_d, (M_core5/MEc)**0.25 if np.isnan(R1_d_01_5Mcore_Zsun_on).any() else R1_d_01_5Mcore_Zsun_on[-1]/RE, color=\"xkcd:royal blue\", ls=\":\", alpha=0.5)\n",
"\n",
"# ax.plot(P_d-dP, (M_core5/MEc)**0.25 if np.isnan(R2_d_01_5Mcore_Zsun_on).any() else R2_d_01_5Mcore_Zsun_on[-1]/RE, \n",
"# color=\"xkcd:grey\", alpha=1, marker=\"o\", ms=mspp_5, mew=1, mec=\"xkcd:black\", fillstyle=\"right\")\n",
"\n",
"# ax.plot(P_d-dP, (M_core5/MEc)**0.25 if np.isnan(R3_d_01_5Mcore_Zsun_on).any() else R3_d_01_5Mcore_Zsun_on[-1]/RE, \n",
"# color=\"xkcd:red\", alpha=1, marker=\"o\", ms=mspp_5, mew=1, mec=\"xkcd:black\")#marker=\"x\", markersize=10, fillstyle=\"none\", markeredgewidth=2.5)\n",
"# ax.vlines(P_d-dP, R_d, (M_core5/MEc)**0.25 if np.isnan(R3_d_01_5Mcore_Zsun_on).any() else R3_d_01_5Mcore_Zsun_on[-1]/RE, color=\"xkcd:red\", ls=\":\", alpha=0.5)\n",
" \n",
"# ax.plot(P_d-dP, calculate_planet_radius_solarZ(M_core5, f_env_d_5core_Zsun, age_5Gyr, flux_d_solar)/REc, \n",
"# color=\"xkcd:black\", ls=\"None\", marker=\"^\", ms=mspp, mew=2, mec=\"xkcd:black\", alpha=1)\n",
"\n",
"# # M_core = 10\n",
"# dP = -0.5\n",
"# ax.plot(P_d-dP, (M_core10/MEc)**0.25 if np.isnan(R1_d_01_10Mcore_Zsun_on).any() else R1_d_01_10Mcore_Zsun_on[-1]/RE, \n",
"# color=\"xkcd:royal blue\", alpha=1, marker=\"s\", ms=mspp_10, mew=1, mec=\"xkcd:black\")#marker=\"x\", markersize=10, fillstyle=\"none\", markeredgewidth=2.5)\n",
"# ax.vlines(P_d-dP, R_d, (M_core10/MEc)**0.25 if np.isnan(R1_d_01_10Mcore_Zsun_on).any() else R1_d_01_10Mcore_Zsun_on[-1]/RE, color=\"xkcd:royal blue\", ls=\":\", alpha=0.5)\n",
"\n",
"# ax.plot(P_d-dP, (M_core10/MEc)**0.25 if np.isnan(R2_d_01_10Mcore_Zsun_on).any() else R2_d_01_10Mcore_Zsun_on[-1]/RE, \n",
"# color=\"xkcd:grey\", alpha=1, marker=\"s\", ms=mspp_10, mew=1, mec=\"xkcd:black\")\n",
"\n",
"# ax.plot(P_d-dP, (M_core10/MEc)**0.25 if np.isnan(R3_d_01_10Mc