A spacecraft of mass m describes a circular orbit of radius $$r1$$, around the earth of mass M. Calculate the additional energy to be imparted to the spacecraft to transfer it to a circular orbit of larger radius $$r2$$,

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Infinity Learn · Accepted Answer

For a satellite, orbiting in a circular orbit or radius r,We have,$$GMmr2=mv2r$$  or  $$mv2=GMmr$$ K.E. $$=12GMmr$$ and P.E. $$=$$−GMmrTotal energy E $$=$$−$$GMm2rTotal$$ energy of the satellite orbiting in circular orbit of radius $$r1$$ is given $$byE1=$$−$$GMm2r1Similarly$$, for an orbit or radius $$r2E2=$$−$$GMm2r2So$$, additional energy imparted will $$beE2$$−$$E1=$$−$$GMm2r2$$−−$$GMm2r1=GMm21r1$$−$$1r2=GMmr2$$−$$r12r1r2$$

A spacecraft of mass m describes a circular orbit of radius r₁, around the earth of mass M. Calculate the additional energy to be imparted to the spacecraft to transfer it to a circular orbit of larger radius r₂,

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A spacecraft of mass m describes a circular orbit of radius r1, around the earth of mass M. Calculate the additional energy to be imparted to the spacecraft to transfer it to a circular orbit of larger radius r2,

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A spacecraft of mass m describes a circular orbit of radius r₁, around the earth of mass M. Calculate the additional energy to be imparted to the spacecraft to transfer it to a circular orbit of larger radius r₂,