3D elastic collisions of spheres: angular momentum

AI Thread Summary
The discussion focuses on modeling 3D elastic collisions between spheres for a space combat game. The user has successfully calculated final velocities using conservation of linear momentum and provided a formula for elastic collisions. The main inquiry revolves around applying conservation of angular momentum to determine the angular velocities of spinning spheres post-collision. Additionally, the user seeks to understand how spin is transferred between spheres and the conversion of angular momentum to linear momentum. The thread aims to develop a comprehensive approach to accurately simulate these interactions in the game.
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Hi, I'm helping my friend with a space combat game he is programming. What I'm trying to figure out is how to model the collisions between spheres in 3D.

So far I've figured out how to calculate final velocities of 2 colliding spheres using conservation of linear momentum. I found a http://www.wheatchex.com/projects/collisions/" which gives me this formula:

v1f = v1i - ((m2c)/(m1 + m2))(1 + e)n
v2f = v2i + ((m1c)/(m1 + m2))(1 + e)n

where

v1i = the initial velocity of object 1
v2i = the initial velocity of object 2
m1 = the mass of object 1
m2 = the mass of object 2
e = the coefficient of restitution (e = 1 for elastic collision)
n = normal unit vector drawn from object 1 to object 2
c = n . (v1i - v2i)

My question is, using conservation of angular momentum, how would I work out the angular velocities of spinning spheres after they collide? How much spin is transferred from one sphere to another? How much angular momentum, if any, would be converted to linear momentum?

Thanks for your time
 
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