I'm a Manufacturing Engineer that is a little rusty on my math skills needing some help for a problem concerning a helix on a sphere. I first asked my question in the pre-university math geometry section but have not received any responses so here I am asking again and hoping someone can point me in the right direction.

I'm trying to find the X/Y/Z coordinates of points spaced .375" apart on a .300" lead spherical helix. I have the following formulas to find the coordinates at t position on the sphere where t=1 is the top of the sphere and t=0 is the center of the sphere.

is radius of sphere at -X/Y plane of sphere

is sphere radius

is % from sphere center to top of sphere

is X postion on sphere at

is Y position on sphere at

is Z position on sphere at

Thanks

CM