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            <title xml:lang="en">RESONANCES DUE TO THIRD BODY PERTURBATIONS IN THE DYNAMICS OF MEOS</title>
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                <title xml:lang="en">RESONANCES DUE TO THIRD BODY PERTURBATIONS IN THE DYNAMICS OF MEOS</title>
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                <term xml:lang="en">Medium Earth Orbits resonances stability</term>
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              <p>The dynamics of Medium Earth Orbits (MEO) sees nowadays a renewed interest because of the development of satellites constellations (GNSS), that raises the problem of parking orbits for satellites at end of life. Numerical evidence shows that the resonances related to the presence of a third body can affect the stability of MEO orbits. The goal of our work is to study the effects of resonances on the stability of MEO orbits, over long or very long term (hundreds of years). For orbits above 20,000 km altitude, the perturbation due to a third body (the Moon or the Sun) is not fully negligible, so we take into account the third body perturbation on the secular evolution of the angular variable of the satellite orbits, and thus of the resonant angle. We estimate numerically the evolution of the resonant inclination. We study the stability of some resonances analytically and numerically, and in particular the resonance associated to the operational inclination of the Galileo satellites.</p>
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