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Central Force Orbit with Polar Coordinates
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Aug4-08, 09:55 AM
I have this question:
A particle of mass m moves under the influence of a central force; F = -grad (V) where V(r) is the potential energy. Angular momentum is conserved because the force is central. The constants of motion are L and energy E.
We use polar coordinates r(t) and θ(t) to describe the motion. Derive an equation for dr/dθ as a function of r. [The solution of this first-order differential equation determines the orbit.]
Does anyone know how to do this?
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