Two bodies with reduced masses m, and m, interact via the central force F = -k- a. The effective single particle of reduced mass u has an elliptical orbit whose energy is an increment AE above the minimum energy Vmin for a closed orbit. Find the angular momentum and pericenter radius rmin as a function of AE and V min

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Two bodies with reduced masses m, and m, interact via the central force
F = -k-
a. The effective single particle of reduced mass u has an elliptical orbit whose energy
is an increment AE above the minimum energy Vmin for a closed orbit. Find the
angular momentum and pericenter radius rmin as a function of AE and V
min
Transcribed Image Text:Two bodies with reduced masses m, and m, interact via the central force F = -k- a. The effective single particle of reduced mass u has an elliptical orbit whose energy is an increment AE above the minimum energy Vmin for a closed orbit. Find the angular momentum and pericenter radius rmin as a function of AE and V min
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