| eBook ISBN: | 978-1-61444-018-5 |
| Product Code: | CAR/18.E |
| List Price: | $50.00 |
| MAA Member Price: | $37.50 |
| AMS Member Price: | $37.50 |
| eBook ISBN: | 978-1-61444-018-5 |
| Product Code: | CAR/18.E |
| List Price: | $50.00 |
| MAA Member Price: | $37.50 |
| AMS Member Price: | $37.50 |
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Book DetailsThe Carus Mathematical MonographsVolume: 18; 1976; 134 pp
This monograph presents the basic mathematics underlying the subject of celestial mechanics. Chapter 1 formulates the central force problem and then deals with Kepler's first and second laws, orbits under non-Newtonian attraction, elements of an orbit, the two-body system, the solar system, and disturbed motion. Chapter 2 introduces the \(n\)-body problem. Included in Chapter 2 are the Lagrange—Jacobi formula, Sundman's theorem on total collapse, the three-body problem, and Lagrange's and Euler's solutions to the three-body problem. Chapter 3 is an introduction to Hamilton-Jacobi Theory.
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Table of Contents
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Chapters
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Chapter 1. The central force problem
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Chapter 2. Introduction to the $n$-body problem
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Chapter 3. Introduction to Hamilton-Jacobi theory
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Additional Material
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This monograph presents the basic mathematics underlying the subject of celestial mechanics. Chapter 1 formulates the central force problem and then deals with Kepler's first and second laws, orbits under non-Newtonian attraction, elements of an orbit, the two-body system, the solar system, and disturbed motion. Chapter 2 introduces the \(n\)-body problem. Included in Chapter 2 are the Lagrange—Jacobi formula, Sundman's theorem on total collapse, the three-body problem, and Lagrange's and Euler's solutions to the three-body problem. Chapter 3 is an introduction to Hamilton-Jacobi Theory.
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Chapters
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Chapter 1. The central force problem
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Chapter 2. Introduction to the $n$-body problem
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Chapter 3. Introduction to Hamilton-Jacobi theory
