Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988a%26a...205..309s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 205, no. 1-2, Oct. 1988, p. 309-327. Research supported by the National Resear
Astronomy and Astrophysics
Astrophysics
33
Celestial Mechanics, Gravitational Effects, Many Body Problem, Natural Satellites, Solar System, Angular Momentum, Eigenvectors, Equations Of Motion, Planetary Rings, Potential Energy, Velocity Distribution
Scientific paper
The dynamical behavior of N coorbital satellites moving with the same average mean motion around a primary has been studied both analytically and by numerical integrations for N from 2 to 9 satellites. Simplified dynamical equations are used to determine the different stationary configurations and their local stability against infinitesimal perturbations. The ring of equally spaced identical satellites is found to be locally unstable for N of six or less, while for N from two to eight there exists another stable compact stationary configuration with separations of 60 deg or less between adjacent satellites. For N of seven or more the equally spaced configuration becomes locally stable, and for N of nine or more it is the only stationary configuration. The motion becomes chaotic for large-amplitude perturbations. The chaotic motion fills a restricted region of phase space whose outer boundary is determined by the maximum velocity curve.
Salo Heikki
Yoder Charles F.
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