Migration timescale thresholds for resonant capture in the plutino problem

L. Friedland

doi:10.1086/318880

Migration timescale thresholds for resonant capture in the plutino problem

L. Friedland^*

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

53 Scopus citations

Abstract

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 m_1,2. 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.

Original language	English
Pages (from-to)	L75-L79
Journal	Astrophysical Journal
Volume	547
Issue number	1 PART 2
DOIs	https://doi.org/10.1086/318880
State	Published - 20 Jan 2001

Keywords

Celestial mechanics, stellar dynamics
Kuiper Belt
Planets and satellites: individual (Neptune)
Solar system: formation

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10.1086/318880

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abstract = "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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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

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KW - Planets and satellites: individual (Neptune)

KW - Solar system: formation

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Migration timescale thresholds for resonant capture in the plutino problem

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