J.S. Plaskett’s star is one of the most massive stars known at present. It is a double star, or binary star; that is, it consists of two stars bound together by gravity. From the spectroscopic studies it is known that
(i) The period of revolution about their centre of mass is 1.2×106s.
(ii) The velocity of each component is about 220 km/s. Because both components have nearly equal (but opposite) velocities, we may infer that they are nearly equidistant from the centre of mass, and hence that their masses are nearly equal.
(iii) The orbit is nearly circular.
From these data calculate the reduced mass and the separation between the stars.
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