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This is my first post, and I hope that I am posting in the correct area...

I need help with a math problem that is beyond my math skills. If anyone can answer it, I'd be very grateful!

Here's my problem:

Imagine two particles, say "a" and "b" that are traveling (in positive time -- time = 0 to 1) in a straight line directly towards each other. They encounter a sphere and exchange places via a 3-dimensional sine-wave, like a corkscrew, each maintaining an equal distance on either side of the surface of the sphere. (The line between them would be the diameter of the sphere.) They exit the sphere maintaining their original straight course.

Mahalo nui loa for any help ,

Trevor Avichennya Zenaide

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# 2 particles in a 3d corkscrew over surface of a sphere

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