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A planet of mass m revolves in elliptica...

A planet of mass `m` revolves in elliptical orbit around the sun of mass `M` so that its maximum and minimum distance from the sun equal to `r_(a)` and `r_(p)` respectively. Find the angular momentum of this planet relative to the sun.

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To find the angular momentum of a planet of mass `m` revolving in an elliptical orbit around the sun of mass `M`, with maximum and minimum distances from the sun being `r_a` (apogee) and `r_p` (perigee) respectively, we can follow these steps: ### Step 1: Define Angular Momentum The angular momentum \( L \) of the planet relative to the sun can be expressed as: \[ L = m \cdot v \cdot r \cdot \sin(\theta) \] where: ...
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