Astronomy Today (9th Edition)
9th Edition
ISBN: 9780134450278
Author: Eric Chaisson, Steve McMillan
Publisher: PEARSON
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Question
Chapter 2, Problem 10MC
To determine
The correct option, from the following options, for the effect on the more massive star out of the two stars of unequal masses, orbits of which are shown in Figure
(a) moves more slowly than
(b) moves more rapidly than
(c) has half the gravity of
(d) has twice the eccentricity of the less massive star
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Use a distance of R = 1.48x10^11 meters for the distance between the earth and the sun.
Use a mass of 1.99x10^30 kg to be 1 solar mass.
For each of the different sun masses (as values of solar mass, aka 0.5 solar masses = 1x10^30 kg), as outlined in the lecture, calculate the period of the earth's orbit in days using Kepler's law for circular orbits (I double-checked it with these values and it works) and also calculate the corresponding orbital velocity of the earth.
Questions:
1.) Using these values, and 6x10^24 kg for the mass of the earth, what is the strength of the gravitational force between the earth and the sun?
2.) If the earth were twice as far from the sun, what would be its period of orbit?
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V= ( 2 G M/R )0.5=
I found a planet with an orbital radius of only 0.2 AU. The parent star is only half as massive as the sun (M=0.5). What is the orbital period?
1) 0.56 years
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Chapter 2 Solutions
Astronomy Today (9th Edition)
Ch. 2 - Prob. 1DCh. 2 - Prob. 2DCh. 2 - Prob. 3DCh. 2 - Prob. 4DCh. 2 - Prob. 5DCh. 2 - Prob. 6DCh. 2 - Prob. 7DCh. 2 - Prob. 8DCh. 2 - Prob. 9DCh. 2 - Prob. 10D
Ch. 2 - Prob. 11DCh. 2 - Prob. 12DCh. 2 - Prob. 13DCh. 2 - Prob. 14DCh. 2 - Prob. 15DCh. 2 - Prob. 1MCCh. 2 - Prob. 2MCCh. 2 - Prob. 3MCCh. 2 - Prob. 4MCCh. 2 - Prob. 5MCCh. 2 - Prob. 6MCCh. 2 - Prob. 7MCCh. 2 - Prob. 8MCCh. 2 - Prob. 9MCCh. 2 - Prob. 10MCCh. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8P
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