Celestial Mechanics
ISBN: 9781614440185
Platform/Publisher: Ebook Central / American Mathematical Society
Digital rights: Users: Unlimited; Printing: Limited; Download: 7 Days at a Time
Subjects: Science; Science: Astronomy;

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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