The satellite moving in a circular orbit of radius 1.0 unit moves at a speed of

Question

The satellite moving in a circular orbit of radius 1.0 unit moves at a speed of 2.0 units. Determine the speed that the other two satellites must move in order to remain in circular orbits of radius 2.0 and 3.0 units. If the satellites were to have other speeds, their orbits would not be circular. Assume that the gravitational attraction between the satellites and the stationary object has a 1/r2 dependence and that the attraction of the satellites for each other is much smaller than their attraction to the central object.

Explanation / Answer

CIRCULAR ORBITS

in order to maintain a circular orbit with radius r.

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