Geometry of Poincaré's Variables and the Secular Planetary Problem View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2004-03

AUTHORS

Bruno Cordani

ABSTRACT

A method for the expansion of the perturbative Hamiltonian in the planetary problem is presented, which allows one to immediately detect the terms vanishing under the averaging process. The method bases itself on a geometrical analysis, through the groups SO(3) and SU(2), of the Poincaré canonical variables or of the similar Laplace variables. As an outcome, one obtains a MAPLE program, which calculates the first averaged terms of the perturbative Hamiltonian. More... »

PAGES

165-179

References to SciGraph publications

  • 1995-07. Stability of the planetary three-body problem in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1023/b:cele.0000034512.34892.b1

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    http://dx.doi.org/10.1023/b:cele.0000034512.34892.b1

    DIMENSIONS

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