UNIVERSE LL W/SAPLINGPLUS MULTI SEMESTER
11th Edition
ISBN: 9781319278670
Author: Freedman
Publisher: MAC HIGHER
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Chapter 8, Problem 44Q
To determine
The mass of the star ‘70 Virgins’ provided that the planet was discovered orbiting the star 70 Virgins 59 ly from Earth and moves in an orbit with semimajor axis 0.48 au and eccentricity 0.40. The period of the orbit is 116.7 days. Also, compare the answer with the mass of the Sun considering the hint that the planet has far less mass than 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 LL W/SAPLINGPLUS MULTI SEMESTER
Ch. 8 - Prob. 1CCCh. 8 - Prob. 2CCCh. 8 - Prob. 3CCCh. 8 - Prob. 4CCCh. 8 - Prob. 5CCCh. 8 - Prob. 6CCCh. 8 - Prob. 7CCCh. 8 - Prob. 8CCCh. 8 - Prob. 9CCCh. 8 - Prob. 10CC
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