Question

An artificial satellite is revolving around a planet of mass M and radius R, in a circular orbit of radius r.
Determine its time period T.
T = (k)/(R ) sqrt((r^3)/(g))
where k is a dimensionless constant and g is acceleration due to gravity

Answer 1

Explanation:

An artificial satellite is revolving around a planet of mass M and radius R. In a circular orbit of radius r. Using dimensional analysis show that the period of the satellite <br> T=kg√r3g <br> where k is a dimensionless constant and g is acceleration due to gravity.