Bundle: Foundations of Astronomy, Enhanced, Loose-Leaf Version, 13th + MindTap Astronomy, 2 terms (12 months) Printed Access Card
13th Edition
ISBN: 9781337214353
Author: Seeds, Michael A., Backman, Dana
Publisher: Cengage Learning
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Chapter 4, Problem 11RQ
In Ptolemy’s model, which of the following—epicycle, equant, or deferent—travels in uniform circular motion as viewed from a particular point? Name and describe that point. Are these uniform circular motions at the same speeds and in the same directions?
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Describe three propositions, now known as Kepler’s laws of planetary motion?
Please answer this question in full steps using proper formulas for universal circular motion. Send ASAP.
Kepler's Third Law and Newton's Law of Universal Gravitation
(a) Use Newton's Universal Law of Gravitation and what you know about centripetal acceleration/force to
derive Kepler's Third Law for a planet in a circular orbit about the sun:
T² = Kr³
K = constant = 4²/GM
where T is the orbital period of the planet (the time for one complete orbit), r is the radius of the planet's
orbit, M is the mass of the sun, and G is the universal gravitational constant.
(b) Determine the metric system units of K and show that they make the units of T² – Kr³ work out
correctly.
(c) The earth orbits the sun once per year (365 days) and its average orbital radius is 1.50 x 10¹¹ m. Use
this information and Kepler's Third Law to estimate the mass of the sun in kilograms.
[answer: about 2 x 10³⁰ kg]
(d) The radius of the sun is about 7 x 108 m. Use this radius and the mass of the sun estimated in part (c)
to estimate the acceleration of an object near the surface of the sun. [answer: about 300 m/s²]
F₂ =G…
Chapter 4 Solutions
Bundle: Foundations of Astronomy, Enhanced, Loose-Leaf Version, 13th + MindTap Astronomy, 2 terms (12 months) Printed Access Card
Ch. 4 - Prob. 1RQCh. 4 - Why did early human cultures observe astronomical...Ch. 4 - Prob. 3RQCh. 4 - Name one example each of a famous politician,...Ch. 4 - Why did Plato propose that all heavenly motion was...Ch. 4 - On what did Plato base his knowledge? Was it...Ch. 4 - Which two-dimensional (2D) and three-dimensional...Ch. 4 - Are the spheres of Eudoxus a scientific model? If...Ch. 4 - In Ptolemys model, how do the epicycles of Mercury...Ch. 4 - Prob. 10RQ
Ch. 4 - In Ptolemys model, which of the followingepicycle,...Ch. 4 - Why did Copernicus have to keep small epicycles in...Ch. 4 - Was the belief held by ancient astronomers that...Ch. 4 - When Tycho observed the new star of 1572, he could...Ch. 4 - Prob. 15RQCh. 4 - Does Tychos model of the Universe explain the...Ch. 4 - Name an empirical law. Why is it considered...Ch. 4 - How does Keplers first law of planetary motion...Ch. 4 - When Mercury is at aphelion (farthest from the...Ch. 4 - Prob. 20RQCh. 4 - What is P for Earth? What is a for Earth? Do these...Ch. 4 - Based Figure 4-13c, do planets with larger a take...Ch. 4 - How did the Alfonsine Tables, the Prutenic Tables,...Ch. 4 - Explain how each of Galileos telescopic...Ch. 4 - How did discovery of the Galilean moons disprove...Ch. 4 - Prob. 26RQCh. 4 - How Do We Know? Describe the differences between a...Ch. 4 - Prob. 1DQCh. 4 - Prob. 2DQCh. 4 - Prob. 3DQCh. 4 - Prob. 4DQCh. 4 - Prob. 5DQCh. 4 - Draw and label a diagram of the western horizon...Ch. 4 - If you lived on Mars, which planets would exhibit...Ch. 4 - How long does it take for one retrograde cycle of...Ch. 4 - If a planet has an average distance from the Sun...Ch. 4 - If a space probe is sent into an orbit around the...Ch. 4 - Uranus orbits the Sun with a period of 84.0 years....Ch. 4 - Prob. 7PCh. 4 - One planet is three times farther from the Sun...Ch. 4 - Galileos telescope showed him that Venus has a...Ch. 4 - Which is the phase of Venus when it is closest?...Ch. 4 - Galileos telescopes were not of high quality by...Ch. 4 - Prob. 1LTLCh. 4 - Study Figures 4-11 and 4-16 and describe the...Ch. 4 - What three astronomical objects are represented...Ch. 4 - Use the figure below to explain how the Ptolemaic...
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