Sign on

SAO/NASA ADS Astronomy Abstract Service

· Find Similar Abstracts (with default settings below)
· Electronic Refereed Journal Article (HTML)
· arXiv e-print (arXiv:1305.0016)
· References in the article
· Citations to the Article (23) (Citation History)
· Refereed Citations to the Article
· Also-Read Articles (Reads History)
·
· Translate This Page
Title:
Retrograde resonance in the planar three-body problem
Authors:
Morais, M. H. M.; Namouni, F.
Affiliation:
AA(Department of Physics & I3N, University of Aveiro, Aveiro, Portugal), AB(Université de Nice, CNRS, Nice, France)
Publication:
Celestial Mechanics and Dynamical Astronomy, Volume 117, Issue 4, pp.405-421 (CeMDA Homepage)
Publication Date:
12/2013
Origin:
SPRINGER
Keywords:
Resonance, Three-body problem, Surface of section, Co-orbital resonance
Abstract Copyright:
(c) 2013: Springer Science+Business Media Dordrecht
DOI:
10.1007/s10569-013-9519-2
Bibliographic Code:
2013CeMDA.117..405M

Abstract

We continue the investigation of the dynamics of retrograde resonances initiated in Morais and Giuppone (Mon Notices R Astron Soc 424:52-64, doi:10.1111/j.1365-2966.2012.21151.x, 2012). After deriving a procedure to deduce the retrograde resonance terms from the standard expansion of the three-dimensional disturbing function, we concentrate on the planar problem and construct surfaces of section that explore phase-space in the vicinity of the main retrograde resonances (2/1, 1/1 and 1/2). In the case of the 1/1 resonance for which the standard expansion is not adequate to describe the dynamics, we develop a semi-analytic model based on numerical averaging of the unexpanded disturbing function, and show that the predicted libration modes are in agreement with the behavior seen in the surfaces of section.
Bibtex entry for this abstract   Preferred format for this abstract (see Preferences)

Find Similar Abstracts:

Use: Authors
Title
Keywords (in text query field)
Abstract Text
Return: Query Results Return    items starting with number
Query Form
Database: Astronomy
Physics
arXiv e-prints