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# Identical satellites X and Y of mass m are in circular orbits around a planet of mass M. The radius of the planet is R.?

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- NCSLv 711 months agoFavorite Answer
It can be shown that for any object in orbit, its GPE is equal to the negative of twice the KE. The answer is A.

For the proof, start with

gravitational force = centripetal force

GmM / R² = mv² / R

and since KE = ½mv²

GmM / R² = 2*KE / R

GmM / R = 2*KE

and you should recognize the LHS as being equal to -GPE.

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