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Two stars of masses M and 2M form a binary system. They… | StemPy Lab
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Two stars of masses M and 2M form a binary system. They move in circles about their common centre of mass, always staying a distance d apart. If G is the gravitational constant, the period of their motion is
Physics
Medium
High School (11–12)
Mechanics › Gravitation
Created by
StemPy Lab
Two stars of masses
M
M
M
and
2
M
2M
2
M
form a binary system. They move in circles about their common centre of mass, always staying a distance
d
d
d
apart. If
G
G
G
is the gravitational constant, the period of their motion is
2
π
d
3
G
M
2\pi\sqrt{\dfrac{d^3}{GM}}
2
π
GM
d
3
2
π
d
3
2
G
M
2\pi\sqrt{\dfrac{d^3}{2GM}}
2
π
2
GM
d
3
2
π
d
3
3
G
M
2\pi\sqrt{\dfrac{d^3}{3GM}}
2
π
3
GM
d
3
2
π
2
d
3
3
G
M
2\pi\sqrt{\dfrac{2d^3}{3GM}}
2
π
3
GM
2
d
3
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