Integrable Systems in Celestial Mechanics
Language: English
Published by Birkhäuser, Birkhäuser Aug 2008, 2008
- Hardcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -This work presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, and the Vinti (Earth-satellite) problems. The analysis of these problems is shown to follow a definite shared pattern yielding exact forms for the solutions and the work highlights shared features in the unified treatment of the three problems.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 248 pp. Englisch.
Seller Inventory # 9780817640965
- Title
- Integrable Systems in Celestial Mechanics
- Author
- Diarmuid Ó'Mathúna
- Publisher
- Birkhäuser, Birkhäuser Aug 2008
- Publication year
- 2008
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 0817640967
- ISBN 13
- 9780817640965
- Item weight
- 541 grams
- Dimensions
- 241x160x19 mm
- Series
- Book 17 of 37: Progress in Mathematical Physics
"Synopsis" may belong to another edition of this title.
From the Back Cover
This work presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, the latter being the more complex and more instructive, as it exhibits a richer and more varied solution structure. Further, because of the interesting investigations by the 20th century mathematical physicist J.P. Vinti, the Euler problem is now recognized as being intimately linked to the Vinti (Earth-satellite) problem.
Here the analysis of these problems is shown to follow a definite shared pattern yielding exact forms for the solutions. A central feature is the detailed treatment of the planar Euler problem where the solutions are expressed in terms of Jacobian elliptic functions, yielding analytic representations for the orbits over the entire parameter range. This exhibits the rich and varied solution patterns that emerge in the Euler problem, which are illustrated in the appendix. A comparably detailed analysis is performed for the Earth-satellite (Vinti) problem.
Key features:
* Highlights shared features in the unified treatment of the Kepler, Euler, and Vinti problems
* Raises challenges in analysis and astronomy, placing this trio of problems in the modern context
* Includes a full analysis of the planar Euler problem
* Highlights the complex and surprising orbit patterns that arise from the Euler problem
* Provides a detailed analysis and solution for the Earth-satellite problem
The analysis and results in this work will be of interest to graduate students in mathematics and physics (including physical chemistry) and researchers concerned with the general areas of dynamical systems, statistical mechanics, and mathematical physics and has direct application to celestial mechanics, astronomy, orbital mechanics, and aerospace engineering.
"About the title" may belong to another edition of this title.
buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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