Задача 10042.

Determine the ratio of the periods of revolution of satellites, one of which moves around the Earth, and the second - around the Moon. The circular orbits of both satellites lie at the same distance h = 200 km from the surfaces of the Earth and the Moon, respectively. Find the ratio of angular velocities, orbital velocities and accelerations of both satellites.

A detailed solution with a brief note of the conditions, formulas and laws used in the solution, the derivation of the calculation formula and the answer.