A binary system consists of two stars of equal mass m orbiting each other in a circular orbit under the influence of gravitational forces. The period of the orbit is T. At t= 0, the motion is stopped and the stars are allowed to fall towards each other. After what time t, expressed in terms of T, do they collide? x*dx -1 Va - x? va - x 2 +-sin Va 2

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A binary system consists of two stars of equal mass m orbiting each other in a circular
orbit under the influence of gravitational forces. The period of the orbit is T . At t = 0,
the motion is stopped and the stars are allowed to fall towards each other. After what time
t, expressed in terms of T , do they collide?
x'dx
-1
- x² +
2
sin
Va -x
Ja
2
Transcribed Image Text:A binary system consists of two stars of equal mass m orbiting each other in a circular orbit under the influence of gravitational forces. The period of the orbit is T . At t = 0, the motion is stopped and the stars are allowed to fall towards each other. After what time t, expressed in terms of T , do they collide? x'dx -1 - x² + 2 sin Va -x Ja 2
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