Stability of the Planetary Three-Body Problem. I. Expansion of the Planetary Hamiltonian

Details Stability of the Planetary Three-Body Problem. I. Expansion of the Planetary Hamiltonian Stability of the Planetary Three-Body Problem. I. Expansion of the Planetary Hamiltonian

Jul 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..62..193l&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 62, Issue 3, pp.193-217

Astronomy and Astrophysics

Astronomy

50

Planetary Motion, Perturbation Function, Celestial Mechanics, Computer Algebra

Scientific paper

We present a direct method for the expansion of the planetary Hamiltonian in Poincaré canonical elliptic variables with its effective implementation in computer algebra. This method allows us to demonstrate the existence of simplifications occurring in the analytical expression of the Hamiltonian coefficients. All the coefficients depending on the ratio of the semi major axis can thus be expressed in a concise and canonical form.

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