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
where \(k>0\) and we have chosen to use Cartesian coordinates.
(a) Show that the equations of motion become
Transcribed Image Text:
*+*^ + ($+8) m = + (2 + ) * = 7 L
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