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As certain quaternary star system consists of a central star of mass M and 3 smaller stars each of mass m the three smaller star Orbit the the central star in the same circular orbit of radius r and have the same sense of revolution . They are positioned one third of a Revolution apart from one another in the orbit . What is the period of revolution of each smaller star ?

As certain quaternary star system consists of a central star of mass M and 3 smaller stars each of mass m the three smaller star Orbit the the central star in the same circular orbit of radius r and have the same sense of revolution . They are positioned one third of a Revolution apart from one another in the orbit . What is the period of revolution of each smaller star ?

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
I am getting my answer as
 
Period of revolution of each small star T
 
T = \huge 2 \pi \sqrt[r³ /G(M+ m/\small \sqrt3)]
 
Please let me know if this is correct then I will share my solution.
 
 
Regards
Arun

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