Integrable systems in celestial mechanics /

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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...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Ó Mathúna, Diarmuid
Format: Électronique eBook
Langue:Inglés
Publié: Boston, Mass. : Birkhäuser, ©2008.
Collection:Progress in mathematical physics ; v. 51.
Sujets:
Celestial mechanics.
Two-body problem.
Mechanics.
Astronomy.
Mechanics
Astronomy
Mécanique céleste.
Problème à deux corps.
Mécanique.
Astronomie.
mechanics (physics)
astronomy.
SCIENCE > Astronomy.
Astronomía
Mecánica
Mecánica celeste
Celestial mechanics
Two-body problem
Himmelsmechanik > Integrables System.
Integrables System > Himmelsmechanik.
Accès en ligne:Texto completo
Table des matières:
  • 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.

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