COSMIC PERSPECTIVE
9th Edition
ISBN: 9780135729458
Author: Bennett
Publisher: PEARSON
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Chapter 4, Problem 12EAP
Explain why orbits cannot change spontaneously, and how a gravitational encounter can cause a change. How can an object achieve escape velocity?
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a. What is a repeat ground-track orbit?
b. Explain why repeat ground-track and Sun-synchronous orbits are typically used for Earth observation missions.
=
c. The constraint for a Sun-synchronous and repeat ground-track orbit is given by T 86, 400, where T is the orbital period in seconds, m the
number of days and k the number of revolutions. Explain why this is, in fact, a constraint on the semi-major axis of the orbit.
m
2. The simplest way to increase the size of a circular orbit is method called a Hohmann
Transfer (transfers the satellite from a small circular orbit to a larger one). It involves
firing thrusters to create a change in velocity to get the satellite into a transfer orbit
(elliptical), then later firing the thrusters again for another change in velocity to increase
the size of the orbit (back to circular). Diagram:
b
Avb
Transfer
Initial
Final
Ava
a
Let us
say we have the satellite from the previous problem in a circular orbit. We want to
increase the altitude of the circular orbit from 418 km to 1000 km. (a) Find the change in
velocity necessary to go into the transfer orbit, Ava. (b) Find the change in velocity
necessary to go into the final circular orbit, Av. (c) How long will the transfer take?
Constants needed:
=
G = 6.674 × 10-11 Nm²
²/kg²
Re = 6.378 x 106m
Mo
5.974 x 1024 kg
25. A rocket is launched from the surface of a planet with mass M and radius R. What is the minimum velocity the
rocket must be given to completely escape from the planet’s gravitational field?
A. (2GM/R)1/2
B. (2GM/R)3
C. (GM/R)1/2
D. 2GM/R
Chapter 4 Solutions
COSMIC PERSPECTIVE
Ch. 4 - Prob. 1VSCCh. 4 - Use the following questions to check your...Ch. 4 - Use the following questions to check your...Ch. 4 - Use the following questions to check your...Ch. 4 - Use the following questions to check your...Ch. 4 - Define speed, velocity, and acceleration. What are...Ch. 4 - Define momentum and force. What do we mean when we...Ch. 4 - What is free-fall, and why does it make you...Ch. 4 - Prob. 4EAPCh. 4 - Describe the laws of conservation of momentum, of...
Ch. 4 - Define kinetic energy, radiative energy, and...Ch. 4 - Define temperature and thermal energy. How are...Ch. 4 - Prob. 8EAPCh. 4 - 9. Summarize the universal law of gravitation both...Ch. 4 - 10. What is the difference between a bound and an...Ch. 4 - What do we need to know if we want to measure an...Ch. 4 - Explain why orbits cannot change spontaneously,...Ch. 4 - Explain how the Moon creates tides on Earth. Why...Ch. 4 - What is tidal friction? What effects does it have...Ch. 4 - Does It Make Sense?
Decide whether the statement...Ch. 4 - Does It Make Sense?
Decide whether the statement...Ch. 4 - Does It Make Sense?
Decide whether the statement...Ch. 4 - Does It Make Sense?
Decide whether the statement...Ch. 4 - Prob. 19EAPCh. 4 - Prob. 20EAPCh. 4 - Does It Make Sense? Decide whether the statement...Ch. 4 - Does It Make Sense?
Decide whether the statement...Ch. 4 - Does It Make Sense?
Decide whether the statement...Ch. 4 - Does It Make Sense?
Decide whether the statement...Ch. 4 - Choose the best answer to each of the following....Ch. 4 - Choose the best answer to each of the following....Ch. 4 - Choose the best answer to each of the following....Ch. 4 - Choose the best answer to each of the following....Ch. 4 - Choose the best answer to each of the following....Ch. 4 - Prob. 30EAPCh. 4 - Prob. 31EAPCh. 4 - Choose the best answer to each of the following....Ch. 4 - Choose the best answer to each of the following....Ch. 4 - Choose the best answer to each of the following....Ch. 4 - Prob. 35EAPCh. 4 - Testing Gravity. Scientists are continually trying...Ch. 4 - Prob. 38EAPCh. 4 - Prob. 39EAPCh. 4 - Prob. 40EAPCh. 4 - Weightlessness. Astronauts are weightless when in...Ch. 4 - Units of Acceleration. If you drop a rock from a...Ch. 4 - Gravitational Potential Energy. For each of the...Ch. 4 - Prob. 44EAPCh. 4 - The Gravitational Law. How does quadrupling the...Ch. 4 - Allowable Orbits? Suppose the Sun were replaced by...Ch. 4 - Head-to-Foot Tides. You and Earth attract each...Ch. 4 - Prob. 48EAPCh. 4 - Geostationary Orbit. A satellite in geostationary...Ch. 4 - Prob. 51EAPCh. 4 - Prob. 52EAPCh. 4 - Moving Candy Bar. Table 4.1 shows that...Ch. 4 - Spontaneous Human Combustion. Suppose that all the...Ch. 4 - Fusion Power. No one has yet succeeded in creating...Ch. 4 - Understanding Newton’s Version of Kepler’s Third...Ch. 4 - Using Newton’s Version of Kepler’s Third Law....Ch. 4 - Escape Velocity. Calculate the escape velocity...Ch. 4 - Weights on Other Worlds. Calculate the...Ch. 4 - Prob. 60EAPCh. 4 - Extra Moon. Suppose Earth had a second moon,...
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