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  • Articles  (2)
  • perturbation theory  (2)
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  • Articles  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Celestial mechanics and dynamical astronomy 62 (1995), S. 23-41 
    ISSN: 1572-9478
    Keywords: Hamiltonian dynamics ; symplectic forms ; asteroid motion ; perturbation theory ; secular resonances
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract New techniques to study Hamiltonian systems with Hamiltonian forcing are proposed. They are based on singularly weighted symplectic forms and transformations which preserve these forms. Applications pertaining to asteroid motion are outlined. These involve the presence of both Jupiter and Saturn.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Celestial mechanics and dynamical astronomy 72 (1998), S. 187-199 
    ISSN: 1572-9478
    Keywords: symplectic form ; symplectic mapping ; Hamiltonian formalism ; perturbation theory ; N-body problem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Mass-weighted symplectic forms provide a unified framework for the treatment of both finite and vanishingly small masses in the N-body problem. These forms are introduced, compared to previous approaches, and their properties are discussed. Applications to symplectic mappings, the definition of action-angle variables for the Kepler problem, and Hamiltonian perturbation theory are outlined
    Type of Medium: Electronic Resource
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