Dsa -- Two masses orbiting their barycenter

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SUMMARY

This discussion centers on the dynamics of two masses, m1 and m2, where m2 is defined as a.m1 with m2 > m1, orbiting their barycenter. The primary question involves determining the relative speed of these bodies required for m1's orbit to exhibit cusps in an inertial reference frame moving at speed v. Participants emphasized the necessity of presenting relevant equations to facilitate further assistance, highlighting the importance of showing work in physics problem-solving. The original post was restored after an attempt to delete it, and the thread is now locked.

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Homework Statement
frs
Relevant Equations
R1 = (m2/(m1+m2))r
Two bodies with masses m2 and m1, m2=a.m1 and m2>m1 orbit each other in circular orbits. if the barycenter moves at a speed v with respect to an inertial reference frame, What should be the relative speed of the bodies so that m1’s orbit in this inertial frame will have cusps?
 
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You need to show some work before we can offer assistance. You could begin by adding some additional relevant equations.
 
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Mentor Note -- OP tried to delete their post after receiving the reply that they need to show their work first. The OP text has been restored and the thread is now locked.
 

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