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Integrable systems in celestial mechanics /

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ó Mathúna, Diarmuid
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, Mass. : Birkhäuser, ©2008.
Colección:Progress in mathematical physics ; v. 51.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.