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Question
Speed of a planet in an elliptical orbit with semi major axis 'a' about sun of mass M at a distance r from sun is
Speed of a planet in an elliptical orbit with semi major axis 'a' about sun of mass M at a distance r from sun is
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Solution
The correct option is A
Total energy of a planet in an ellipitcal orbit is:
E=−GMm2a (m = mass of planet)
From conservation of mechanical energy
KE + PE = E
or 12mv2−GMmr=−GMm2a
or v=√GM(2r−1a)
Total energy of a planet in an ellipitcal orbit is:
E=−GMm2a (m = mass of planet)
From conservation of mechanical energy
KE + PE = E
or 12mv2−GMmr=−GMm2a
or v=√GM(2r−1a)