Classical Dynamics of Particles and Systems · Problem 8-7

Dynamics of a System of Particles — Marion & Thornton

Physics — Mechanics · central-force-areal-velocity-virial

Problem

Show that the areal velocity is constant for a particle moving under the influence of an attractive force given by

F(r) = -kr

. Calculate the time averages of the kinetic and potential energies and compare with the results of the virial theorem.