Normal co-ordinates and asymptotic expansions in resonance cases in celestial mechanics.

Details Normal co-ordinates and asymptotic expansions in resonance cases in celestial mechanics. Normal co-ordinates and asymptotic expansions in resonance cases in celestial mechanics.

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..43..119m&link_type=abstract

Celestial Mechanics, Volume 43, Issue 1-4, pp. 119-125

Computer Science

Celestial Mechanics:Resonances, Perturbations:Planetary Systems, Planetary Systems:Perturbations, Resonances:Celestial Mechanics

Scientific paper

In the presence of a single small-integer near commensurability of orbital period, the construction of a complete formal solution of the equations for the mutual perturbations in a planetary or satellite system, entirely in periodic terms, can be carried out after the use of a transformation of the variables which brings the quadratic terms of the Hamiltonian to a suitable normal form. A method for finding such a transformation is described.

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