Generalization of Szebehely's regions for asteroid stability

Details Generalization of Szebehely's regions for asteroid stability Generalization of Szebehely's regions for asteroid stability

Jul 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..36..241k&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 36, July 1985, p. 241-255.

Other

Asteroids, Celestial Mechanics, Three Body Problem, Eccentricity, Jacobi Integral, Jupiter (Planet), Orbital Elements, Sun, Asteroids, Models, Celestial Mechanics, Three-Body Problem, Jupiter, Sun, Eccentricity, Inclination, Orbits, Parameters, Comparisons

Scientific paper

Using Hill's modified stability criterion in the three-dimensional restricted three-body problem with the Sun and Jupiter as the primaries, regions of stability for the semi-major axis (a) are determined. These regions are given for a range of eccentricity (e) and inclination (i), and include the effects of the remaining orbital elements. This generalizes Szebehely's previous results which only examined the effects of e and i on the regions of stability for the semi-major axis. It is shown that if the other orbital elements are also considered, the previous results are sharpened but are not contradicted.

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