Foundations of Astronomy (MindTap Course List)
Foundations of Astronomy (MindTap Course List)
14th Edition
ISBN: 9781337399920
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 14, Problem 15RQ
To determine

The way in which a neutron star in a binary system is producing X-rays.

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Suppose that a neutron star has a radius of 13 km and a temperature of 7,000,000 K. How luminous is it?
A star with mass m, period Ti = 30 days, and radius ri = 1E4 km collapses into a neutron star (Links to an external site.) with a radius of rf = 3 km. Our goal will be to determine the period Tf of the neutron star. Useful formulae: Li=Lf; L=Iω; ω=2πf=2π/T; Isphere=2/5mr^2.
If Earth's moon were replaced by a neutron star with a radius of 13 km, what would the angular diameter of the neutron star be as seen from Earth? (Hint: Use the small-angle formula, angular diameter (in arc seconds) / 2.06 ✕ 105 arc seconds = linear diameter/distance, where the linear diameter and the distance both have the same units.)
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