Numerical Simulations of the Impact of Jupiter's Migration on the Formation of the Hilda Asteroid Group

Details Numerical Simulations of the Impact of Jupiter's Migration on the Formation of the Hilda Asteroid Group Numerical Simulations of the Impact of Jupiter's Migration on the Formation of the Hilda Asteroid Group

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..nes.c1009h&link_type=abstract

American Physical Society, 2002 Joint Spring Meeting of the New England , abstract #C1.009

Astronomy and Astrophysics

Astronomy

Scientific paper

The Hilda group is a collection of asteroids located in the asteroid belt between Mars and Jupiter that are characterized by a mean motion resonance of 3:2 with Jupiter (for every 2 orbits of Jupiter each Hilda orbits 3 times around the Sun). The orbital characteristics of the Hildas are believed to have resulted from Jupiter's migration sunward during the formation of the Solar System. The orbital characteristics examined in this study included average semi-major axis, eccentricity, and the amplitude of the resonant angle of the orbit, or libration angle. Jupiter's motion and the resulting interaction with the simulated Hildas was modelled using a symplectic map for the n-body problem(J. Wisdom and M. Holman, Astron. J. 102)(4), 1528 (1991). Simulations were conducted for changes in Jupiter's semi-major axis sunward between 0 -- 1.0 AU, timescales between 10^3 -- 10^6 years, and over a period between 10^7 -- 10^9 years. Simulations in which Jupiter migrated inward 0.6 AU to its current position with a timescale of 10^4 years proved to best replicate the current Hilda group's orbital characteristics.

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