Circular Motion Energy/Binary Star problem

Thread starter abe_thebabe
Start date Feb 24, 2011
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Circular Circular motion Motion Star

AI Thread Summary

The discussion focuses on deriving the total energy of a binary star system, expressed as E=(-432(r^5)(pi^4))/(G*T^4). Key equations used include gravitational force F=GMm/r^2 and centripetal force F=mv^2/r, along with the period T=2(pi)r/V. Participants are attempting to solve the problem by applying these equations to the context of circular motion and gravitational interactions. The thread emphasizes the relationship between the system's energy, radius, and period. Overall, the discussion aims to clarify the derivation of the total energy formula for the binary star system.

Feb 24, 2011

abe_thebabe

Homework Statement

Show that Total energy of this system is given by E=(-432(r^5)(pi^4))/(G*T^4)
[PLAIN]http://img189.imageshack.us/img189/7325/38899527.png

Homework Equations

F=GMm/r^2
F=mv^2/r
T=2(pi)r/V

The Attempt at a Solution

[PLAIN]http://img97.imageshack.us/img97/7766/27047783.png

Last edited by a moderator: May 5, 2017

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