Universe
Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 13, Problem 1CC
To determine

The interpretation that can be drawn when the speed of a Moon or Satellite is given (Kepler’s third law), and the time used by the satellite to disappear during its orbit behind its planet is measured.

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Answer to Problem 1CC

Solution:

The diameter of a satellite can be estimated when it is screened by a planet and the visibility of satellite reflected light is less. So, the time used by the satellite to fade away reveals its transit time and speed, through which the diameter of the satellite can be estimated.

Explanation of Solution

Introduction:

Satellite is an artificial device that is used to visualize distant objects like stars, galaxies, and other astronomical objects from the Earth’s atmosphere. It provides a signal from one side of the Earth to the other side of the Earth, and acts like a giant mirror in space. It gives clear and sharp images of the Earth, planets, and other astronomical objects.

Explanation:

When the satellite passes between humans and planets, they emerge from the planet’s shadow. There is a brief time interval in which the satellite increases, as more of its surface exposed under sunlight. During this period, the diameter of the satellite and its transit time can be calculated by this interval of its appearance and disappearance.

Conclusion:

Therefore, it is concluded that the transit time and diameter of a satellite are calculated by its appearance and disappearance.

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A new mystery planet is detected around our Sun. We measure its position relative to the Sun to be 2 AU at perihelion and 6 AU at aphelion. What is the semimajor axis of this planet's orbit (in AU)?  With that information, what is the orbital period of that planet (in years)?  If this planet has the same mass as Earth, how does the average force of gravity on the planet by the Sun compare with the average force of gravity on the Earth by the Sun? Please give a numerical ratio of the forces. (Hint: You can take the semimajor axis to represent the average position of the planets) 6:this is all one question with multiples steps. Thank you
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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
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