For the two body central-force problem with a Newtonian potential, the effective two-dimensional orbit dynamics can be

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For the two body central-force problem with a Newtonian potential, the effective two-dimensional orbit dynamics can be described by the Lagrangian

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where \(k>0\) and we have chosen to use Cartesian coordinates.

(a) Show that the equations of motion become

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

Authors: T. M. Helliwell, V. V. Sahakian

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