Dsa -- Two masses orbiting their barycenter

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In summary, two bodies with masses m2 and m1 are orbiting each other in circular orbits, with m2 being equal to a times m1 and m2 being greater than m1. The barycenter is moving at a speed v with respect to an inertial reference frame. To determine the relative speed of the bodies so that m1's orbit in this inertial frame will have cusps, additional relevant equations should be added after showing some work.
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antythingyani
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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.
 

FAQ: Dsa -- Two masses orbiting their barycenter

What is a barycenter?

A barycenter is the point between two objects where they balance each other out and their combined gravitational pull is equal. In the case of two masses orbiting, the barycenter is the point around which they both revolve.

How do two masses orbiting their barycenter affect each other?

The two masses will exert a gravitational force on each other, causing them to orbit around the barycenter. The larger the masses and the closer they are to each other, the stronger the force and the faster they will orbit.

Can the barycenter of two masses be located outside of either mass?

Yes, the barycenter can be located outside of either mass if one mass is significantly larger than the other. In this case, the barycenter will be closer to the larger mass.

How does the distance between two masses affect their orbit around the barycenter?

The distance between two masses will affect the strength of their gravitational force and the speed at which they orbit. The closer the masses are to each other, the stronger the force and the faster the orbit. Conversely, the farther apart they are, the weaker the force and the slower the orbit.

What factors determine the stability of two masses orbiting their barycenter?

The stability of two masses orbiting their barycenter depends on the masses of the objects, their distance from each other, and their relative velocities. If these factors are balanced, the orbit will be stable. However, if one of these factors changes significantly, it can disrupt the stability of the orbit.

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