21st Century Astronomy
21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 13, Problem 43QP
To determine

The position of the center of mass be located

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A certain triple-star system consists of two stars, each of mass m = 4.00×1031 kg, revolving about a central star of mass M = 5.90×1031kg in the same circular orbit of radius r = 5.70×1010 km. The two stars are always at opposite ends of a diameter of the circular orbit (see Figure). What is the period of revolution of the stars?
A two-star system spins in a circular path around the center of mass in the middle of the distance between them. This means that the masses of the two stars are equal, as in the figure. Suppose that the orbital velocity of each star v = 220 km / s and the periodic time of each one 14.4 days find the mass M for each star (compared to the sun’s mass, M= 1.99 x 10^30 kg).             ReplyForward
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