COSMIC PERSPECTIVE LL FD
9th Edition
ISBN: 9780135877074
Author: Bennett
Publisher: PEARSON
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Chapter 3, Problem 25EAP
When we say that a planet has a highly eccentric orbit, we mean that (a) it is spiraling in toward the Sun. (b) its orbit is an ellipse with the Sun at one focus. (c) in some parts of its orbit it is much closer to the Sun than in other parts.
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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?
Group of answer choices
- Yes
- No, it's too big.
- No, it's too small
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
Let's assume that the planet was originally orbiting around something with the mass of our Sun (and thus the mass of the planet is negligible). Now we will examine the case where the planet orbits a star with 8 times the mass of our Sun, but we will say that the dates listed in the diagram above are still accurate for indicating the planet's position as it orbits the new star. What is ratio of the size of the semimajor axis of the planet in this case compared to the original (aka how many times larger {ratio greater than 1} or smaller {ratio less than 1} is the new semimajor axis than the old one)?
Chapter 3 Solutions
COSMIC PERSPECTIVE LL FD
Ch. 3 - Prob. 1VSCCh. 3 - Use the following questions to check your...Ch. 3 - Use the following questions to check your...Ch. 3 - Use the following questions to check your...Ch. 3 - Use the following questions to check your...Ch. 3 - Prob. 6VSCCh. 3 - Prob. 7VSCCh. 3 - Prob. 1EAPCh. 3 - Why did ancient peoples study astronomy? Describe...Ch. 3 - Describe the astronomical origins of our day,...
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