On the Hori-Deprit approach to theories of satellite motion

Details On the Hori-Deprit approach to theories of satellite motion On the Hori-Deprit approach to theories of satellite motion

Dec 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983sval....9..388t&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 9, Nov.-Dec. 1983, p. 750-754) Soviet Astronomy Letters (ISSN 0360-0327), vol. 9, Nov.-

Astronomy and Astrophysics

Astronomy

1

Hamiltonian Functions, Orbital Mechanics, Satellite Orbits, Satellite Perturbation, Spacecraft Motion, Angular Velocity, Canonical Forms, Long Term Effects, Periodic Functions, Tesseral Harmonics

Scientific paper

The standard Hori-Deprit method (H-D) for calculating the orbit of artificial satellites is reviewed and extended to a more simplified form. H-D involves two successive canonical changes of variables that retain the secular and long-period terms of the Hamiltonian. A function is defined for eliminating the angle variables from the Hamiltonian and still retaining accuracy to a prescribed order through a series of approximations. The technique serves further for deriving the tesseral harmonics of nonresonance satellites. The convergence of the proposed algorithm has yet to be demonstrated.

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