An artificial satellite is revolving around a planet of mass M and radius R, in a circular orbit of radius r. From Kelper's Third law about the period of a satellite around a common central body, square of the period of revolution T is proportional to the cube of the radius of the orbit r. Show usnig dimensional analysis, that T = (k)/(R ) sqrt((r^3)/(g)), Where k is a dimensionless constant and g is acceleration due to gravity.
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