Analytical theory of earth's artificial satellites /A.T.E.A.S./

Details Analytical theory of earth's artificial satellites /A.T.E.A.S./ Analytical theory of earth's artificial satellites /A.T.E.A.S./

Feb 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..193c&link_type=abstract

(Conference on Mathematical Methods in Celestial Mechanics, 6th, Oberwolfach, West Germany, Aug. 14-19, 1978.) Celestial Mechani

Mathematics

4

Artificial Satellites, Hamiltonian Functions, Satellite Perturbation, Transformations (Mathematics), Canonical Forms, Functional Integration, Lie Groups, Orbital Mechanics, Periodic Functions

Scientific paper

The problem of ATEAS is treated, for the zonal perturbations, in its Hamiltonian form. The method consists in eliminating angular variables from the Hamiltonian function. Nearly identity canonical transformations are used, first to remove short periodic terms, second to remove long periodic terms. The general solution, up to J/3/2, is represented by the generators of the transformations and by the mean motions of averaged variables, known up to J/4/2. Open expressions in the eccentricity are avoided as far as possible. It permits one to obtain a closed second order theory with closed third order mean motions

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