Let’s take into account a planet revolving around the sun having mass m and T is its period of revolution. Suppose mass of sun to be M and R its radius.
The equation for the centripetal force is given below:
= mR = mR (2 / T) 2 = 42mR / T2
A force is applied on the planet due to the gravitational force of sun. The equation of force is shown below:
F= GMm / R2
So,
GMm / R2 = 4 2 mR / T2
Then the final result will be:
M = 42MmR3 / G T2
According to the formula:
Mass = volume x density
We have supposed earlier that r is the radius of the sun and electrostatic figure 1.43 is the density.
By substituting and solving the values we get:
= 3 R3/ G T2 R3
From the above equation M and can be calculated.