A star is orbiting a stationary star with an orbital period of 19.0 months. The distance...
A star is orbiting a stationary star with an orbital period of 19.0 months. The distance between the two stars is known to be 100 million km. Calculate the mass of the stationary star, assuming a circular orbit.
Homework Answers
T =19 months = 19*30*24*60*60 =4.993x10^7 s
R = 100million km =100x106x103 m=1011 m
From keplers law
T2 =(4
2/GM)R3
M = (42R3/GT2
)
M =[4x3.14x3.14x(1011)3]/[(6.67x10-11)(4.99x107)2]
M =2.4x1029 kg
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