Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ap%26ss..44..373i&link_type=abstract
Astrophysics and Space Science, vol. 44, Oct. 1976, p. 373-383.
Astronomy and Astrophysics
Astrophysics
4
Asteroids, Celestial Mechanics, Orbital Elements, Solar Orbits, Astronomical Models, Collision Parameters, Elliptical Orbits, Orbit Calculation, Resonance, Three Body Problem
Scientific paper
Schubart's (1968) model of a planar elliptic restricted three-body problem is used to study the orbital motion of the Hilda asteroids from the Palomar-Leiden Survey. The 3:2 resonant coupling to Jupiter of some of these small asteroids is found to be stable. However, some of the small asteroids with absolute magnitude greater than 15 have large amplitude of variation in their orbital elements in one libration period. Since the lifetime scales against catastrophic collision of the Hilda asteroids are estimated to be several times larger than those of the main-belt objects, a significant portion of these resonant asteroids could be the original members of the Hilda group. From this point of view, it is suggested that such 'size dependence' of resonant orbital motions might be the result of cosmogonic effects of jet-stream accretion.
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