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If a satellite is revolving around a pla...

If a satellite is revolving around a planet of mass `M` in an elliptical orbit of semi-major axis `a`. Show that the orbital speed of the satellite when it is a distance `r` from the focus will be given by
`upsilon^(2) = GM[(2)/(r ) - (1)/(a)]`

A

`v^(2)=GM[(2)/(r )-(1)/(a)]`

B

`v^(2)=GM[(2)/(r^(2))-(1)/(a)]`

C

`v^(2)=GM[(2)/(r^(2))-(1)/(a^(2))]`

D

`v^(2)=G[(2)/(r )-(1)/(a)]`

Text Solution

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The correct Answer is:
A
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