Lunisolar Apsidal Resonances at low Satellite Orbits |
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| Authors: | S?awomir Breiter |
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| Institution: | (1) Astronomical Observatory, A. Mickiewicz University, Soneczna 36, PL, 60‐286 Poznań, Poland, e‐mail |
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| Abstract: | 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.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | artificial satellites lunisolar perturbations resonances analytical methods |
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