Show that the time average of the potential energy

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Reference no: EM131383105

A body moving in an inverse square attractive field traverses an elliptical orbit with major axis 2a. Show that the time average of the potential energy V = -γ /r is -γ /a.

[Transform the time integral to an integral with repect to the eccentric angle ψ.]

Deduce the time average of the kinetic energy in the same orbit.

Reference no: EM131383105

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