Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cemda..74..253b&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, v. 74, Issue 4, p. 253-274 (1999).
Astronomy and Astrophysics
Astronomy
5
Artificial Satellites, Lunisolar Perturbations, Resonances, Analytical Methods
Scientific paper
Eccentricity resonances between the secular motion of an Earth satellite's orbit and the longitudes of the Sun and the Moon are studied within a Hamiltonian framework. The problem is approximated in a traditional manner, with the Earth's potential including only the second zonal harmonic, and a Hill-type approximation for perturbing bodies. For a family of 10 resonances, stable and unstable points are identified and libration widths are estimated. Numerical values are given for the maximum variation of eccentricity available at each resonance. The respective amplitudes of the perigee heights' librations range from 2 to 750 km. The resonances of the solar origin are generally stronger than their lunar counterparts.
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