Monday, January 30, 2012

What formula can I use to find the mass of a star given the mass of a planet and its period and orbital radius?

Hi All,



What formula can I use to find the mass of a star given the mass of a planet and its period and orbital radius?



Thanks in advance!

What formula can I use to find the mass of a star given the mass of a planet and its period and orbital radius?Newton's form of Kepler's Third Law. Here's the meter-kilogram-second version.



M = 4 pi^2 a^3 / (G P^2) - N



Where

M = the mass of the star in kilograms

N = the mass of the planet in kilograms

pi = 3.14159265358979

a = the average separation of the star and the planet, in meters

P = the period of the orbit in seconds

G = 6.67428E-11 m^3 kg^-1 sec^-2



M = (5.915E+11 kg sec^2 m^-3) a^3 / P^2 - NWhat formula can I use to find the mass of a star given the mass of a planet and its period and orbital radius?( m1 + m2 ) P2 = ( d1 + d2 ) 3 = R3

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