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A satellite of mass m orbits the earth i...

A satellite of mass `m` orbits the earth in an elliptical orbit having aphelion distance `r_(a)` ad perihelion distance `r_(p)`. The period of the orbit is T. The semi-major and semi-minor axes of the ellipse are a and b respectively. The angular momentum of the satellite is

A

`mpir_(a)//T`

B

`2mpir_(a)//T`

C

`mpiab//T`

D

`2mpiab//T`

Text Solution

Verified by Experts

The correct Answer is:
D
`L=2mdA//dt=2mpiab//T`
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