I have an application which does gravitational computations. I want to display positions, velocities, and accelerations in both cylindrical and spherical coordinates.

Given positions, velocities, and accelerations in XYZ coordinates, does anybody know the formulae for accelerations in cylindrical and spherical coordinates? Does anybody know a Web Site which would have such formuale?

I have formulae for positions and velocities using both cylindrical and spherical coordinates.

I know how to develop the formulae for the accelerations in cylindrical and spherical coordinates, but the algebra is terribly messy. I am afraid that I might make a mistake.