Symmetric and nonsymmetric periodic orbits in the exterior mean motion resonances with Neptune
type: Item
instance of: scholarly article
title: Symmetric and nonsymmetric periodic orbits in the exterior mean motion resonances with Neptune
zbMATH Open document ID: 1093.70007
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2005-05-20T00:00:00Z
review text: In the last decade a large number of small bodies orbiting beyond Neptune and called trans-Neptunian objects were observed. Many of them are located near exterior mean motion resonance \(2:3\) with Neptune. There are also several trans-Neptunian objects close to \(1:2\), \(1:3\) and \(1:4\) resonances. Here, on the base of planar circular restricted three-body problem, the authors investigate the dynamics of exterior mean motion resonances \(1:2\), \(1:3\) and \(1:4\). The existence of symmetric and nonsymmetric periodic orbits is proved, and their stability is studied.
reviewed by: Sergei Georgievich Zhuravlev
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 70F07
zbMATH DE Number: 2169923
zbMATH Keywords: Kuiper belt
zbMATH Keywords: planar circular restricted three-body problem
author: G. Voyatzis
author: Thomas Kotoulas
author: John D. Hadjidemetriou
MaRDI profile type: Publication
full work available at URL: s10569-004-0891-9
OpenAlex ID: W2018569804
cites work: Asymmetric librations in exterior resonances
cites work: Evolution of migrating planet pairs in resonance
cites work: An overview on the Kuiper belt and on the origin of Jupiter-family comets
cites work: BURRAU'S PROBLEM OF THREE BODIES
DOI: 10.1007/S10569-004-0891-9
description: scientific article; zbMATH DE number 2169923