Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...131...20h&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 131, no. 1, Feb. 1984, p. 20-32.
Astronomy and Astrophysics
Astronomy
26
Asteroids, Orbital Mechanics, Solar Orbits, Dynamic Stability, Resonance, Three Body Problem, Techniques, Models, Energy, Resonance, Distribution, Hilda Asteroids, Asteroids, Astronomy, Observations, Gaps, Kirkwood Gap, Orbits
Scientific paper
The stability of the asteroid orbits is studied by the method of surface of section, using the model of the planar circular restricted 3-body problem with the sun and Jupiter as primaries. The selection of the energy levels at which the surfaces of section were taken is based on analytic results which provide all the stable and unstable simple periodic orbits, so that no main feature of phase space went undetected. Gaps are found at the 3/1 and 5/3 resonances, but it is shown that elliptic asteroid orbits can exist at these resonances. It is also found that a concentration of asteroids can exist at the 2/1 and 3/2 resonances even when there are gaps very close to these resonances. The concentration at the 3/2 resonance is more stable than that at the 2/1 resonance. It is explained why the Hilda group of asteroids at the 3/2 resonance appears as isolated, and also why nonresonant asteroids cannot exist near Jupiter. Finally, it is explained why minor gaps appear at some higher-order resonant cases, for example 7/2 or 11/3.
Hadjidemetriou John D.
Ichtiaroglou Simos
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