Integrable systems in celestial mechanics
著者
書誌事項
Integrable systems in celestial mechanics
（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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