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Let's say you have a binary star system, consider the orbital motion of that binary star consisting of two solar-like stars separated by 20 stellar radii. How would one calculate the angular momentum for this system? The angular momentum we want is defined by the equation:

$L = I\Omega = Mk^2 R^2 \Omega$

Where $M$ is the Mass, $R$ is the radii of the orbit, $k$ the gyradius, and $\Omega$ the angular velocity.

$M$ and $R$ are easy enough. I'm confused on how to get $k$ and $\Omega$? Would the gyradius $k$ be what was given to me in an earlier part of the question (0.25) for when I had to calculate the Angular momentum of the Sun or would I have to calculate it separately for this case? What about $\Omega$? Would it simply be $\frac{2\pi}{28 days \cdot 24 hours \cdot 60 mins \cdot 60 secs}$ where the period of rotation comes from the Sun?

Clarification/help is appreciated. Thanks

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    $\begingroup$ Seems like your getting your homework done? $\endgroup$
    – ProfRob
    May 3 at 8:24

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