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# Newton's form of Kepler's third law

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The orbital period of the binary system containing A0620-00 is 0.32 day, and Doppler shift measurements reveal that the radial velocity of the X-ray source peaks at 457 km/s (about 1 million miles per hour).

a) Assuming that the orbit of the X-ray source is a circle, find the radius of its orbit in kilometers. (This is actually an estimate of the semimajor axis of the orbit.) (

b) By using Newton's form of Kepler's third law, prove that the mass of the X-ray source must be at least 3.1 times the mass of the Sun. (Hint: Assume that the mass of the K5V visible star-about 0.5M from the mass-luminosity relationship - is negligible compared to that of the invisible companion.)

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The orbital period of the binary system containing A0620-00 is 0.32 day, and Doppler shift measurements reveal that ...

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Newton's form of Kepler's third law is applied.

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