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

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)

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