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intercepting calculation for curved path?

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Let's say I have an XY grid with 0,0 as the center

object A orbits around the center, direction is known just undecided which I will be using yet, velocity and range from center and start point is known, thus location can obtained easily for any point in time

object B is somewhere on the grid, location and velocity is known, and must travel a straight line to intercept object A without velocity changing

where can I find an algorithm to determine the location at which the 2 objects meet? straight line interception would be simple, but object A is on an orbital path not straight :(

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Write down the equations describing the two bodies' motions.
See if you can solve them in closed form. If you can't, try Newton's method. If you have difficulty, we can help.

[Edited by - Emergent on October 15, 2010 11:56:56 PM]

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