Towards a systematic definition of intermediaries in the theory of artificial satellites

Details Towards a systematic definition of intermediaries in the theory of artificial satellites Towards a systematic definition of intermediaries in the theory of artificial satellites

Nov 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991baicz..42..401f&link_type=abstract

Astronomical Institutes of Czechoslovakia, Bulletin (ISSN 0004-6248), vol. 42, Nov. 1991, p. 401-407. Research supported by CICY

Astronomy and Astrophysics

Astronomy

1

Artificial Satellites, Lie Groups, Orbit Perturbation, Astrodynamics, Hamiltonian Functions

Scientific paper

Intermediaries for the main problem in the theory of the earth's artificial satellites are obtained by means of Lie canonical transformations. It is shown that classical intermediaries arise in a very natural manner when an infinitesimal contact transformation of the periodic Hori-Lie generator is applied to the main problem. A suitable change of the independent variable renders the choice of the first-order terms in the new Hamiltonian natural, and the calculation of the respective periodic generating functions then becomes straightforward.

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