The construction of periodic orbits of satellites in a system of rotating axes. I

Details The construction of periodic orbits of satellites in a system of rotating axes. I The construction of periodic orbits of satellites in a system of rotating axes. I

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..28..351s&link_type=abstract

Celestial Mechanics, vol. 28, Dec. 1982, p. 351-365. In French.

Physics

1

Axes Of Rotation, Circular Orbits, Orbit Calculation, Planetary Orbits, Saturn Satellites, Algorithms, Asymptotic Methods, Celestial Mechanics, Natural Satellites, Orbit Perturbation, Orbital Elements, Planetary Mass, Quadratures

Scientific paper

An algorithm for calculation of the orbits of satellites with small masses relative to the oblate planet they orbit is presented. It is assumed that the orbits are nearly circular, and asymptotic solutions are obtained for the potential terms, with second-order solutions being available for small inclinations. The results depend on the semi-major axis, the inclination of the generatrix, and the initial position of the generatrix orbit. The polar or longitudinal angle is derived by means of a quadrature. The motions of the moons of Saturn are presented as an example, with the satellite masses and mutual perturbations included as correction terms to yield non-Keplerian periodic solutions.

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