The moon orbits the earth at a distance of 3.85 x 10^8 m. Assume that this distance is between the centers of the earth and the moon and that the mass of the earth is 5.98 x 10^24 kg. Find the period for the moon's motion around the earth. Express the answer in days and compare it to the length of a month.© BrainMass Inc. brainmass.com February 24, 2021, 2:15 pm ad1c9bdddf
Period of revolution of moon around the earth:
T = 2*pi*sqrt(r^3/G*M)
r = distance between the Earth and the Moon (center ot center)
=> r = 3.85*10^8 m
G = ...
With explanations and calculations, the problem is solved. The expert examines the apparent weightlessness and artificial gravity for the moon's motion around the earth.