2-48. Two gravitationally bound stars with equal masses m, separated by a distance d, re- volve about their center of mass in circular orbits. Show that the period 7 is propor- tional to d3/2 (Kepler's Third Law) and find the proportionality constant.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 81AP: The nearest neutron star (a collated star made primarily of neutrons) is about 3.00 1018 m away...
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2-48. Two gravitationally bound stars with equal masses m, separated by a distance d, re-
volve about their center of mass in circular orbits. Show that the period 7 is propor-
tional to d3/2 (Kepler's Third Law) and find the proportionality constant.
2-49. Two gravitationally bound stars with unequal masses m, and m2, separated by a dis-
tance d, revolve about their center of mass in circular orbits. Show that the period 7
is proportional to d/2 (Kepler's Third Law) and find the proportionality constant.
Transcribed Image Text:2-48. Two gravitationally bound stars with equal masses m, separated by a distance d, re- volve about their center of mass in circular orbits. Show that the period 7 is propor- tional to d3/2 (Kepler's Third Law) and find the proportionality constant. 2-49. Two gravitationally bound stars with unequal masses m, and m2, separated by a dis- tance d, revolve about their center of mass in circular orbits. Show that the period 7 is proportional to d/2 (Kepler's Third Law) and find the proportionality constant.
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