Other
Scientific paper
Jun 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993aj....105.2336f&link_type=abstract
Astronomical Journal (ISSN 0004-6256), vol. 105, no. 6, p. 2336-2343.
Other
17
Asteroids, Chaos, Solar Orbits, Libration, Orbital Resonances (Celestial Mechanics), Asteroids, Hilda Family, Orbits, Stability, Chaos, Escape, Amplitude, Librations, Longitude, Timescale, Parameters, Gravity Effects, Danby, Perturbations, Orbital Elements, Rollandia, Venusia, Eupraksia
Scientific paper
This paper calculates Liapunov times, T(L), for certain members of the Hilda minor planets, a group that librates at the 3:2 mean motion resonance with Jupiter. We find that many are definitely chaotic, but that the resulting escape times T(c), obtained from a relation that we recently published does not conflict with their being present today. On the other hand, we show that bodies with libration amplitudes 10 to 20 deg larger than the maximum currently found would have escaped during the lifetime of the solar system. We interpret this behavior as 'observational' support for the relation between T(L) and T(c) that LFM inferred from numerical simulations. Consideration of T(L)'s for real and hypothetical objects with low proper eccentricities at and near the Hilda group lends further support.
Franklin Fred
Lecar Myron
Murison Marc
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