Application of Hori technique in general planetary theory.

Details Application of Hori technique in general planetary theory. Application of Hori technique in general planetary theory.

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989em%26p...44..275k&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 44, March 1989, p. 275-289.

Statistics

Computation

11

Canonical Forms, Celestial Mechanics, Computational Astrophysics, Planetology, Hamiltonian Functions, Lie Groups, Orbital Mechanics, Perturbation Theory, Secular Variations

Scientific paper

It is explained how the first step of the Hori-Lie procedure is applied in general planetary theory to eliminate short-period terms. The study is extended to third-order planetary theory. The canonical equations of motion for secular and periodic perturbations are solved using this method, and the first integrals of the system of canonical equations are obtained. The relation between the determining function in the sense of Hori and the determining function in the sense of Von Zeipel is also investigated.

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