A satellite is orbiting around the earth with a period T.Prove that if the earth suddenly shrinks to half its radius without a change in mass, the period of revolution of the satellite will be T

Dear Student, 
Please find below the solution to the asked query: 
Kepler's law of orbits;T2 α r3T2T12=r2r13T2T2=r12r13T2T2=123T2T2=18T2=T22
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