Asteroid motion near the 3:1 resonance
type: Item
instance of: scholarly article
title: Asteroid motion near the 3:1 resonance
zbMATH Open document ID: 0780.70008
DOI: 10.1007/BF00696186
author: John D. Hadjidemetriou
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 1994-02-06T00:00:00Z
review text: A mapping model is constructed to describe asteroid motion near the 3:1 mean motion resonance with Jupiter, in the plane. The topology of the phase space of this mapping coincides with that of the real system, which is considered to be the elliptic restricted three-body problem with the Sun and Jupiter as primaries. This model is valid for all values of the eccentricity. This is achieved by the introduction of a correcting term to the averaged Hamiltonian which is valid for small values of the eccentricity.
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 37C75
Mathematics Subject Classification ID: 37J40
zbMATH DE Number: 464960
zbMATH Keywords: Kirkwood gaps
zbMATH Keywords: chaotic motion
zbMATH Keywords: mapping model
zbMATH Keywords: Jupiter
zbMATH Keywords: phase space
zbMATH Keywords: elliptic restricted three-body problem
zbMATH Keywords: Sun
zbMATH Keywords: correcting term
zbMATH Keywords: averaged Hamiltonian
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00696186
OpenAlex ID: W2060131132
description: scientific article; zbMATH DE number 464960