A satellite of mass ra orbits around the Earth of mass M in an elliptical orbit of semi-major and semi-minor axes 2 a and a respectively. The angular momentum of the satellite about the center of the Earth is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
If the satellite was orbiting the Earth in a circular orbit of radius 2a, then its time period would be
The same would be the time period of the satellite if it orbits in an ellipse having a semi-major axis 2a The area of the ellipse is
, where L is the angular momentum of the satellite about the centre of the Earth.
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