Central Force Orbit with Polar Coordinatesby schrau24 Tags: central force, orbit, polar coordinates 

#1
Aug408, 09:55 AM

P: 1

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 firstorder differential equation determines the orbit.] Does anyone know how to do this? Thanks! 


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