Simulating 2D Collisions: Elastic Circle Interactions and Velocity Calculation

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The discussion focuses on simulating perfectly elastic collisions between two circles in a 2D space. The program designer has successfully implemented collision detection but struggles with calculating the final velocity vectors (Vx and Vy) after the collision. It is noted that, without considering friction and spin, the solution involves exchanging momentum components along the line connecting the centers of the circles at the moment of contact. Understanding this principle is crucial for accurately simulating the collision outcomes. The conversation emphasizes the importance of momentum conservation in elastic collisions for the simulation's success.
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I'm designing a program that simulates collisions in 2 dimensions, among other things. The collisions are between 2 circles, the collisions themselves are perfectly elastic. The mass of the two circles are known, and their X and Y velocity components are known. They also have specific radii. I can easily detect collisions amongst 2 circles, but I cannot solve for the final Vx or Vy vectors of the two spheres.

Any help would be greatly appreciated.
Thanks
 
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As long as you are not including friction and spin all you have to do is exchange the component of momentum along a line joining their centers when they make contact.
 

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