Classical Dynamics of Particles and Systems · Problem 8-43

Dynamics of a System of Particles — Marion & Thornton

Physics — Mechanics · central-force-elliptical-orbit-velocity-increase

Problem

A satellite is moving in circular orbit of radius

R

about Earth. By what fraction must its velocity

v

be increased for the satellite to be in an elliptical orbit with

r_{\min} = R

and

r_{\max} = 2R