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2. modeling billiard table

I am trying to construct a model for use in a video game



Basically I have boiled things down to the following situation that needs to
be modelled:







Think of a snooker/pool table (without the pockets) with two balls on it.



The balls bounce around colliding with the sides of the table and each
other. Perfectly elastically for simplicity.

For further simplicity, there is no friction. Maybe they have unit mass.



Basically picture two circles bouncing around inside a rectangle.



My question is:



Given:

1) the dimensions of the rectangle and the circles.

2) the initial velocities of the circles



Is there an equation where I can find the location of the circles at time t?



e.g.

circle_one_centre(x,y) = f(t)

circle_two_centre(x,y) = f(t)





If so, how do i go about finding this equation?



what about the same thing for n circles?



Different shaped tables??





Any ideas?





Thanks for any help



Dean

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