Two satellites, A and B, are in different circular orbits about the earth. The orbital speed of...

Question

Two satellites, A and B, are in different circular orbits about the earth. The orbital speed of satellite A is twice that of satellite B. Find the ratio of the period of A to that of B.

Robert · Accepted Answer

Two satellites, A and B, are in different circular orbits about the Earth. The orbital speed of 
satellite A is twice that of satellite B. We wish to find the ratio of the period of A to that of B.
For each satellite, we have
 
2
2
,i
i i
v GM
R R

where iv  is the speed of satellite i,

Two satellites, A and B, are in different circular orbits about the earth. The orbital speed of satellite A is twice that of satellite B. Find the ratio of the period of A to that of B.

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