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Binary stars question

  1. Jan 6, 2017 #1
    1. The problem statement, all variables and given/known data
    http://prntscr.com/dsd7ea

    Image attached
    2. Relevant equations
    For circular orbit, r = Pv / 2 pi , Where P = orbital period and v=orbital velocity

    r' = r sini , where i is unknown angle to plane of sky.


    3. The attempt at a solution

    I'm really not getting these binary problems at all.

    I would start by finding v, but how is this from them "the observed maximum velocity shift of 26.1 km/s" ?
    Then I would use r = Pv / 2 pi , and the separation would just be 2r as they are identical stars, is this right?
    I don't know where to start with the angle of inclination part.

    Also, in my notes, talking about binaries in general, it says that r1 + r2 = a
    I think that's r1= radius of star 1, r2 = radius of star 2, a = true semi-major orbital axis, but I don't understand this, how could the 2 radii total the semi-major axis? Surely it would be 2a if anything?
    And talking about the semi-major axis, does the system actually have a semi-major axis? I thought there was just one for each star.

    Really lost here, any help would be appreicated, thanks!
     

    Attached Files:

  2. jcsd
  3. Jan 6, 2017 #2

    mfb

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    Staff: Mentor

    You'll have to consider the masses of the stars to get the orbital velocity. The period and the radial velocity alone are not sufficient.

    You can consider the semi-major axis of each star, or the semi-major axis of the distance between the stars. But for a circular orbit with identical masses, you can just take the radius of the circle as semi-major axis of each star. This is NOT the distance between the stars!
     
  4. Jan 6, 2017 #3

    vela

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    Try using Kepler's third law to find ##a##.
     
  5. Jan 10, 2017 #4
    Thanks guys, it was Kepler's 3rd that I needed.
     
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