Kirkwood Gaps and stability of conservative periodic systems

Details Kirkwood Gaps and stability of conservative periodic systems Kirkwood Gaps and stability of conservative periodic systems

Jun 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978natur.273..734k&link_type=abstract

Nature, vol. 273, June 29, 1978, p. 734-736.

Astronomy and Astrophysics

Astronomy

1

Asteroids, Hill Method, Orbital Mechanics, Solar Orbits, Astronomical Models, Motion Stability, Orbit Calculation, Three Body Problem

Scientific paper

It is shown that the distribution of asteroid orbits in the (semimajor axis, eccentricity)- or (a,e)-plane around the 2/1 resonance (the Hecuba Gap) is unstable, but that the distribution of asteroid orbits in the (a,e)-plane around the 3/2 resonance (the Hilda group) is stable in a well-defined sense. The starting point of this analysis is a purely gravitational model, the planar circular model of three bodies. Nongravitational agents such as mutual collisions or resisting media are not considered. Regions of stability and instability on Schubart (1964) diagrams are determined, and the differences between Hilda and Hecuba librators are discussed.

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