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.

$\displaystyle rzt$ is radius of sphere at -X/Y plane of sphere

$\displaystyle sr$ is sphere radius

$\displaystyle t$ is % from sphere center to top of sphere

$\displaystyle xt$ is X postion on sphere at $\displaystyle t$

$\displaystyle yt$ is Y position on sphere at $\displaystyle t$

$\displaystyle zt$ is Z position on sphere at $\displaystyle t$

$\displaystyle rzt = \sqrt{sr^2-zt^2$

$\displaystyle zt = sr * sin(90*t)$

$\displaystyle xt = rzt * cos(t*360*2*\pi*sr*90/360/.3)$

$\displaystyle yt = rzt * sin(t*360*2*\pi*sr*90/360/.3)$

Thanks

CM