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Integrable systems in celestial mechanics

Author: Diarmuid Ó Mathúna
Publisher: Boston, Mass. : Birkhäuser, ©2008.
Series: Progress in mathematical physics, v. 51.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Ó Mathúna, Diarmuid.
Integrable systems in celestial mechanics.
Boston, Mass. : Birkhäuser, ©2008
(OCoLC)72655605
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Diarmuid Ó Mathúna
ISBN: 9780817645953 0817645950
OCLC Number: 314371862
Description: 1 online resource (x, 234 pages) : illustrations.
Contents: General Introduction --
The Kepler Problem (Two-Body Problem): the central Newtonian potential --
Bernoulli solution --
Features of the central Newtonian potential --
The Non-Central Newtonian Potential --
The Euler problem: two fixed centers of attraction --
The Vinti problem: earth-satellite theory --
Implications for perturbation theories --
Relativistic context --
Index.
Series Title: Progress in mathematical physics, v. 51.
Responsibility: Diarmuid Ó Mathúna.
More information:

Abstract:

Presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. This title is suitable for graduate students in mathematics and physics  Read more...

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