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 16P
To determine

The average separation between stars in binary system.

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If an X-ray binary consists of a 17-solar-mass star and a neutron star orbiting each other every 23.2 days, what is their average separation? (Hints: Use the version of Kepler's third law for binary stars,  MA + MB = a^3/p^2  make sure you express quantities in units of AU, solar masses, and years. Assume the mass of the neutron star is 1.4 solar masses.)
If an X-ray binary consists of a 10-solar-mass star and a neutron star orbiting each other every 20.8 days, what is their average separation? (Hints: Use the version of Kepler's third law for binary stars, M, + M3 = ; make sure you express quantities in units of AU, solar masses, and years. Assume the mass of the neutron star is 1.6 solar masses.) a3 AU
Using the center-of-mass equations or the Center of Mass Calculator (under Binary-Star Basics, above), you will investigate a specific binary-star system. Assume that Star 1 has m₁ = 3.4 solar masses, Star 2 has m₂ = 1.4 solar masses, and the total separation of the two (R) is 52 AU. (One AU is Earth's average distance from the Sun.) (a)What is the distance, d₁, (in AU) from Star 1 to the center of mass? AU (b)What is the distance, d2, (in AU) from Star 2 to the center of mass? AU
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