Integrable systems in celestial mechanics

書誌事項

Integrable systems in celestial mechanics

Diarmuid Ó Mathúna

(Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser, v. 51)

Birkhäuser, c2008

  • : hbk

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注記

Includes bibliographical references (p. [227]-230) and index

内容説明・目次

内容説明

Shows that exact solutions to the Kepler (two-body), the Euler (two-fixed center), and the Vinti (earth-satellite) problems can all be put in a form that admits the general representation of the orbits and follows a definite shared pattern Includes a full analysis of the planar Euler problem via a clear generalization of the form of the solution in the Kepler case Original insights that have hithertofore not appeared in book form

目次

General Introduction.- Lagrangian Mechanics.- The Kepler Problem.- The Euler Problem I - Planar Case.- The Euler Problem II - Three-dimensional Case.- The Earth Satellite - General Analysis.- The Earth Satellite - Some Special Orbits.

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