Find a numerical value for the ratioa m /a e, where a m is theacceleration of a

Question

Find a numerical value for the ratioam/ae, where am is theacceleration of a satellite in a circular orbit about Mars andae is the acceleration of an identical satillite in acircular orbit about the Earth (the orbits have the same radius R).Assume the mass of Mars is (1/2) the mass of the Earth. Find a numerical value for the ratioam/ae, where am is theacceleration of a satellite in a circular orbit about Mars andae is the acceleration of an identical satillite in acircular orbit about the Earth (the orbits have the same radius R).Assume the mass of Mars is (1/2) the mass of the Earth.

Explanation / Answer

we know accleration a = GM / R ^ 2 from this ( am/ae) = ( Mm/Me) * ( Re/Rm) ^ 2 Given Re = Rm and Mm = ( 1/ 2) Me plug these values weget am/ae = ( 1/ 2)

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