The construction of a seventh-order Jupiter-Saturn analytical theory

Details The construction of a seventh-order Jupiter-Saturn analytical theory The construction of a seventh-order Jupiter-Saturn analytical theory

Feb 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993em%26p...60..141k&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 60, no. 2, p. 141-175.

Physics

Celestial Mechanics, Equations Of Motion, Jupiter (Planet), Saturn (Planet), Solar Orbits, Hamiltonian Functions, Perturbation Theory, Solar System

Scientific paper

We extend the construction of the Jupiter-Saturn theory to include all
the terms up to the seventh order in the masses. The Hori-Lie
transformation technique is employed. The Jacobian coordinates are
adopted and the theory is expressed in terms of the canonical
non-singular variables of H. Poincare.

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