Physics
Scientific paper
May 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33...49m&link_type=abstract
Celestial Mechanics (ISSN 0008-8714), vol. 33, May 1984, p. 49-69. Research sponsored by the Science and Engineering Research Co
Physics
2
Artificial Satellites, Geosynchronous Orbits, Librational Motion, Orbit Perturbation, Resonance, Circular Orbits, Degrees Of Freedom, Hamiltonian Functions, Harmonic Analysis
Scientific paper
Moore (1983) presented a theory of resonance with two degrees of freedom based on the Bohlin-von Zeipel procedure. This procedure is now applied to librational motion with all constants re-evaluated in terms of values of the momenta given either by the initial conditions, or, in the case of the momentum y1 conjugate to the critical argument x1, by its value at the libration centre. Numerical results are presented for a resonant satellite in a near 12 hr orbit and for a geosynchronous satellite. The theory is further developed to include near-circular orbits by recasting the problem in terms of the Poincaré eccentric variables.
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