Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 8, Problem 44Q
To determine
The mass of 70 Virgins and to compare this value to the mass of the Sun.
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The two planets orbiting the nearby star Gliese 876 are observed to be in 2:1 resonance (i.e., the period of one is twice that of the other). The inner planet has an orbital period of 30 days. If the star’s mass is the mass of the Sun, calculate the semimajor axis of the outer planet’s orbit.
Nearly all planets that astronomers have found orbiting other stars have been giant planets with masses more like Jupiter than Earth, and with orbits located very close to their parent stars. Does this prove that our Solar System is unique? Explain your answer.
If the semi-major axis, a, is measured in AU and the orbital period, p, is measured in years, then Kepler's 3rd law allows us to calculate the mass of the object they are orbiting using the following equation: M = a3/p2
Furthermore, the mass that is calculated by this equation is given in solar masses (MSun) where, by definition, the Sun's mass is 1 MSun.
Now, suppose I were to tell you that the mass of Jupiter is equal to 4.5e7 MSun.
Does the stated mass of Jupiter make sense?
it is to big or to small or makes sense
Chapter 8 Solutions
Universe: Stars And Galaxies
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