Data di Pubblicazione:
2004
Citazione:
Geometry of Poincaré's variables and the secular planetary problem / Bruno Cordani. - In: CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY. - ISSN 0923-2958. - 89:2(2004), pp. 165-179.
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
averaging method; perturbation theory; planetary problem; Poincaré variables
Elenco autori:
Bruno Cordani
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