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A satellite of mass m orbits around the ...

A satellite of mass m orbits around the Earth of mas M in an elliptical orbit of semi - major and semi - minor axes 2a and a respectively. The angular momentum of the satellite about the centre of the Earth is

A

`(ab)/(r ) sqrt((GM)/(a^3))`

B

`(ab)/(r ) sqrt((GM)/(b^3))`

C

`(ab)/(2r ) sqrt((GM)/(r^3))`

D

`(2ab)/(r ) sqrt((GM)/((a+b)/(2))^(3))`

Text Solution

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The correct Answer is:
A
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