Migration Timescale Thresholds for Resonant Capture in the Plutino Problem

Details Migration Timescale Thresholds for Resonant Capture in the Plutino Problem Migration Timescale Thresholds for Resonant Capture in the Plutino Problem

Jan 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001apj...547l..75f&link_type=abstract

The Astrophysical Journal, Volume 547, Issue 1, pp. L75-L79.

Astronomy and Astrophysics

Astronomy

21

Celestial Mechanics, Stellar Dynamics, Kuiper Belt, Planets And Satellites: Individual: Neptune, Solar System: Formation

Scientific paper

Dynamic autoresonance theory is applied to the problem of thresholds on migration timescales for capture into resonances in the planar-restricted three-body problem with m1>>m2>>m0 and slowly migrating masses m1,2. The thresholds are found analytically, scale as (m2/m1)-4/3, and yield an order of magnitude longer timescales required for capture of m0 into 2:1 outer resonance as compared with 3:2 and other resonances. The difference is due to the rotation of the primary mass m1, affecting the 2:1 resonance only. This could explain the observed small abundance of Kuiper Belt objects in the 2:1 resonance and could define accurate bounds on the timescales involved in the early evolution of the solar system.

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