Question

Assuming that the period of revolution t of a planet revolving around the sun depends upon the radius r of the orbit, the mass m of the planet and the gravitational constant g, derive the expression for the time period. [t= k (r3/gm) ]

Answer 1

a planet moves around the sun in nearly circular orbit. its period of revolution T depends on (i)radius r of the orbit (ii)mass M of the sun (iii) gravitatioonal constant G.. prove that dimensionally T^2∝r^3