Central Force Orbit with Polar Coordinates

by schrau24
Tags: central force, orbit, polar coordinates
schrau24 is offline
Aug4-08, 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 first-order differential equation determines the orbit.]

Does anyone know how to do this?

Phys.Org News Partner Physics news on Phys.org
Physicists design quantum switches which can be activated by single photons
'Dressed' laser aimed at clouds may be key to inducing rain, lightning
Higher-order nonlinear optical processes observed using the SACLA X-ray free-electron laser

Register to reply

Related Discussions
Central Force Motion (two-mass orbit problem) Advanced Physics Homework 0
From polar coordinates to heliocentric ecliptic coordinates Astrophysics 0
Determing a polar orbit for a non-inverse square central force Advanced Physics Homework 3
Mechanics, central orbit/force question Calculus & Beyond Homework 2
Cartesian coordinates and in polar coordinates? Introductory Physics Homework 1