... | @@ -62,7 +62,7 @@ determining the coordinate system with canonical coordinates |
... | @@ -62,7 +62,7 @@ determining the coordinate system with canonical coordinates |
|
|:--------------------------|:------------|:----------------------|:--------------------------------------------------------------------------------------------------------------------|
|
|
|:--------------------------|:------------|:----------------------|:--------------------------------------------------------------------------------------------------------------------|
|
|
| | geometry | canonical coordinates | metric scale factors |
|
|
| | geometry | canonical coordinates | metric scale factors |
|
|
| | | (*x*, *y*, *z*) | (*h*<sub>*x*</sub>, *h*<sub>*y*</sub>(*x*), *h*<sub>*z*</sub> = *h*<sub>*y*</sub>(*x*) ⋅ *h*<sub>*zy*</sub>(*y*)) |
|
|
| | | (*x*, *y*, *z*) | (*h*<sub>*x*</sub>, *h*<sub>*y*</sub>(*x*), *h*<sub>*z*</sub> = *h*<sub>*y*</sub>(*x*) ⋅ *h*<sub>*zy*</sub>(*y*)) |
|
|
| ![image](../pic/CART.png) | CARTESIAN | (*x*, *y*, *z*) | (1, 1, 1) |
|
|
| ![CART](uploads/5f4052ddeef58a9db3b74c9904879e35/CART.png) | CARTESIAN | (*x*, *y*, *z*) | (1, 1, 1) |
|
|
| ![image](../pic/CYL.png) | CYLINDRICAL | (*z*, *R*, *ϕ*) | (1, 1, *R*) |
|
|
| ![image](../pic/CYL.png) | CYLINDRICAL | (*z*, *R*, *ϕ*) | (1, 1, *R*) |
|
|
| ![image](../pic/SPH.png) | SPHERICAL | (*r*, *θ*, *ϕ*) | (1, *r*, *r* ⋅ sin *θ*) |
|
|
| ![image](../pic/SPH.png) | SPHERICAL | (*r*, *θ*, *ϕ*) | (1, *r*, *r* ⋅ sin *θ*) |
|
|
|
|
|
... | | ... | |