The Cosmic Perspective Fundamentals (2nd Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
2nd Edition
ISBN: 9780133889567
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 10, Problem 11QQ
To determine

The way mass of a black hole can be measured in an X-ray binary.

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The orbit of the binary pulsar PSR 1936+16, studied by Taylor and Hulse,   a. is so small that the orbital period is smaller than the pulsar period.   b. is growing smaller, presumably by emitting gravitational waves.   c. provides evidence that it is being orbited by at least 6 planets the size of Jupiter.   d. shows large changes each time an X ray burst is emitted from the system.   e. contains a white dwarf and a black hole.
To find the Sun’s luminosity from its brightness using the inverse-square law, you also had to be given the distance from the Earth to the Sun. Carefully describe the steps in a process that would allow you to measure the distance to the Sun.
From the light and velocity curves of an eclipsing spectroscopic binary star system, it is determined that the orbital period is 6.31 yr and the maximum radial velocities of stars A and B are 5.4 km/s and 22.4 km/s, respectively. Furthermore, the time period between first contact and minimum light (tp-ta) is 0.58 d and the length of the primary minimum (tc-tb) is 0.64 d. From this information, assuming circular orbits, find: a) the ratio of stellar masses. b) the sum of masses (i ~ 90°). c) the individual masses. d) the individual radii.
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