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How to calculate mass of the sun? Please tell in a simple methamatical way.

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1 Answer
Dec 23, 2016


You can calculate the mass of the Sun from Newton's form of Kepler's 3rd law.


Newton's form of Kepler's 3rd law describes the orbit of a planet around the Sun. It relates the semi major axis distance of the orbit to the period of the orbit using the equation:

#p^2 alpha color(white)(')a^3#

That means:


p is the orbital period;
G is the gravitation constant;
M is the mass of the Sun;
a is the orbit semi major axis distance.

Rearranging the equation gives:


Now for planet Earth:

Putting the values into the equation gives the mass of the Sun: