Other
Scientific paper
Feb 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cemec..38..191c&link_type=abstract
Celestial Mechanics (ISSN 0008-8714), vol. 38, Feb. 1986, p. 191-205. Research supported by the Diputacion General de Aragon and
Other
5
Astrodynamics, Earth Orbits, Orbit Calculation, Satellite Orbits, Hamiltonian Functions, Harmonics, Linear Equations, Perigees
Scientific paper
Taking advantage of radial intermediaries and regularization and linearization methods, the zonal earth-satellite theory is studied in the polar nodal canonical set of variables (r, theta, v, R, Theta, and N). The variable theta is eliminated in the first order of the Hamiltonian by applying Deprit's (1969) method. Then the elimination of the perigee is carried out by another canonical transformation. As a consequence, a new radial intermediary, which contains all the harmonics, is given. A comparison with the previous radial intermediaries of Cid and Lahulla (1969), Deprit (1981), and Alfriend and Coffey (1984) is made. Finally, a regularizing transformation which makes it possible to linearize part of the radial intermediary is proposed, and an analytical study of this process is presented.
Cid Rosa
Ferrer Sebastián
Sein-Echaluce María L.
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