The motion of a satellite in resonance with the second-degree sectorial harmonic

Details The motion of a satellite in resonance with the second-degree sectorial harmonic The motion of a satellite in resonance with the second-degree sectorial harmonic

Sep 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..16...97d&link_type=abstract

Celestial Mechanics, vol. 16, Sept. 1977, p. 97-121.

Computer Science

5

Eccentric Orbits, Harmonic Motion, Resonance, Satellite Orbits, Satellite Perturbation, Spacecraft Motion, Earth Orbits, Elliptic Functions, Legendre Functions, Orbit Perturbation, Orbital Mechanics, Von Zeipel Method

Scientific paper

The solution to the motion of a satellite in an eccentric orbit and in resonance with the second-degree sectorial harmonic of the potential field is developed. The method of solution used parallels the well known von Zeipel method of general perturbations. The solution consists of expressions for the variations of the Delaunay variables. These expressions are composed of the perturbations developed by Brouwer in 1959 for the motion of an artificial satellite plus first-order perturbations due to the second-degree sectorial harmonic (in terms of the Legendre normal elliptic integrals of the first and second kind).

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