math - How to convert coordinates from one Spherical system to another rotated by 90 degrees without going to Cartesian

Question

I need to convert a set of points from one spherical system to another rotated by 90 along the axis in the equatorial plane. I want to rotate the points in this system, then return them to the previous one.I do not want to use the Cartesian system as an intermediary, so can this be done without leaving the conception of spherical coordinates? The image shows the same point in different spherical coordinates, are there any conversion formulas for this case?

Answer 1

如果我理解您的要求正确，则将 π/2 添加/减去到适当的坐标可以满足您的要求。