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Physics help??????????????
Two satellites are in circular orbits around the Earth. Satellite A is at an altitude equal to the Earth's radius, while satellite B is at an altitude equal to four times the Earth's radius. What is the ratio of their periods, TB/TA?
2 Answers
- derframLv 78 years agoFavorite Answer
A little bit of research seems to point to the period of orbits being proportional to the ratio of the center to center distances ^3/2
For example, LEO say 100 miles has a center to center radius of 4100 miles and an orbital period of about 1.5 hours. Geostationary has a radius of about 27000 miles and an orbital period of 24 hours. Let's see if those fit....
(27000/4100)^3/2 = 16.9
24/1.5 = 16
Close enough for me for back of the hand.
So TB/TA = (RB/RA)^(3/2)
In your case (5/2)^(3/2) = 4
