TY - JOUR
T1 - Migration timescale thresholds for resonant capture in the plutino problem
AU - Friedland, L.
PY - 2001/1/20
Y1 - 2001/1/20
N2 - 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.
AB - 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.
KW - Celestial mechanics, stellar dynamics
KW - Kuiper Belt
KW - Planets and satellites: individual (Neptune)
KW - Solar system: formation
UR - https://www.scopus.com/pages/publications/0011113815
U2 - 10.1086/318880
DO - 10.1086/318880
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AN - SCOPUS:0011113815
SN - 0004-637X
VL - 547
SP - L75-L79
JO - Astrophysical Journal
JF - Astrophysical Journal
IS - 1 PART 2
ER -