Long-term motion of resonant satellites with arbitrary eccentricity and inclination

Details Long-term motion of resonant satellites with arbitrary eccentricity and inclination Long-term motion of resonant satellites with arbitrary eccentricity and inclination

Aug 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..27..375n&link_type=abstract

Celestial Mechanics, vol. 27, Aug. 1982, p. 375-397.

Physics

1

Eccentric Orbits, Geosynchronous Orbits, Harmonics, Orbit Perturbation, Orbital Mechanics, Satellite Orbits, Hamiltonian Functions, Long Term Effects, Orbit Calculation, Tesseral Harmonics, Zonal Harmonics

Scientific paper

A first-order, semi-analytical method for the long-term motion of resonant satellites is introduced. The method provides long-term solutions, valid for nearly all eccentricities and inclinations, and for all commensurability ratios. The method allows the inclusion of all zonal and tesseral harmonics of a nonspherical planet. We present here an application of the method to a synchronous satellite including J2 and J22 harmonics. Global, long-term solutions for this problem are given for arbitrary values of eccentricity, argument of perigee and inclination.

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