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  3. Celestial Mechanics
  • This book is no longer available to purchase from Cambridge Core
  • Cited by 35
Publisher:
Mathematical Association of America
Online publication date:
June 2014
Print publication year:
1976
Online ISBN:
9781614440185
DOI:
https://doi.org/10.5948/UPO9781614440185
Series:
Carus Mathematical Monographs
Subjects:
Physics and Astronomy, Cosmology, Relativity and Gravitation
Information

Book description

The MAA is pleased to re-issue the early Carus Mathematical Monographs in ebook and print-on-demand formats. Readers with an interest in the history of the undergraduate curriculum or the history of a particular field will be rewarded by study of these very clear and approachable little volumes. 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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