| SHFunctions |
The functions gathered here allow to work with Spherical Harmonics and Zonal Harmonics =============================================================================== The convention for transformation between spherical and cartesian coordinates is : ( sinθ cosϕ, sinθ sinϕ, cosθ ) → (x, y, z) _ Azimuth ϕ is zero on +X and increases CCW (i.e. PI/2 at +Y, PI at -X and -PI/2 at -Y) _ Elevation θ is zero on +Z and PI on -Z Z θ=0 | | | ϕ=-PI/2 -Y - - - -o------+Y ϕ=PI/2 /. / . +X . ϕ=0 . -Z θ=PI So cartesian to polar coordinates is computed this way: θ = acos( Z ); ϕ = atan2( Y, X ); |