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A binary star system consists of two equal mass stars that revolve in circular orbits about their center of mass. The period of the motion, T=29.6 days, and the orbital speed v= 220 km/s of the stars can be measured from telescopic observations. What is the mass (kg) of each star?

  • Physics -

    Each has a force holding it to the other.


    this is equal to centripetal acceleration.


    check my thinking. solve for M

  • Physics -

    Using Newton's law and the law of universal graviation:

    Acceleration is centripital acceleration, so a=(v^2)/r

    so G(m^2/r^2)=m(v^2/r)

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