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3. Consider a binary star that is both a visual and a spectroscopic binary, in which the two stars have circular orbits. Directly observable quantities

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3. Consider a binary star that is both a visual and a spectroscopic binary, in which the two stars have circular orbits. Directly observable quantities for this binary include the orbital period T, the radial velocity semi- , and the maximum angular separation 8 between the two stars. amplitudes k1 = |v1 ops | and ka2 = |v2,0bs The inclination angle % of the orbital plane can also be determined from observations of the visual binary orbit. Show that if all of these quantities can be measured, you can determine the distance d to the binary, and derive an expression for d in terms of these observable quantities. Your expression for the distance d should not include any dependence on M7 or M5, the masses of the two stars

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