Dsa -- Two masses orbiting their barycenter

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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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