Classical Dynamics of Particles and Systems · Problem 8-29

Dynamics of a System of Particles — Marion & Thornton

Physics — Mechanics · central-force-moon-eccentricity

Problem

The minimum and maximum velocities of a moon rotating around Uranus are

v_{\min} = v - v_0

and

v_{\max} = v + v_0

. Find the eccentricity in terms of

v

and

v_0