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Lunisolar Apsidal Resonances at low Satellite Orbits

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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.

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Authors and Affiliations

  1. Astronomical Observatory, A. Mickiewicz University, Soneczna 36, PL, 60‐286 Poznań, Poland, e‐mail

    Sławomir Breiter

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  1. Sławomir Breiter
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Breiter, S. Lunisolar Apsidal Resonances at low Satellite Orbits. Celestial Mechanics and Dynamical Astronomy 74, 253–274 (1999). https://doi.org/10.1023/A:1008379908163

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  • DOI: https://doi.org/10.1023/A:1008379908163

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