Mass of Sun

by • 04/07/2012 • GeneralComments (0)497

Mass of Sun

Let earth is orbiting round the sun in a circular orbit with velocity V.

Me = Mass of earth

Ms = Mass of the sun

R = Distance between the centres of the sun and the earth

T = Period of revolution of earth around sun

G = Gravitational constant

According to the Law of Universal Gravitation

F = G Ms Me / R2 ……………………………… (1)

This force ‘F’ provides the earth the necessary centripetal force

F = Me V2 / R …………………………………….. (2)

(1) & (2) => Me V2 / R = G Ms Me / R2

=> Ms = V2 R / G …………………………………. (3)

V = s / Π = 2Π R / T

=> V2 = 4Π2 R2 / T2

Therefore,

(3) => Ms = (4Π R2 / T2) x (R / G)

Ms = 4Π2 R3 / GT2 …………………………………. (4)

Substituting the value of

R = 1.49 x 10(11),

G = 6.67 x 10(-11) N-m2 / kg2,

T = 365.3 x 24 x 60 x 60 seconds, in equation (4)

We get

Ms = 1.99 x 10(30) kg

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