• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail

Averaging the planar three-body problem in the neighborhood of double inner collisions

Féjoz, Jacques (2001), Averaging the planar three-body problem in the neighborhood of double inner collisions, Journal of Differential Equations, 175, 1, p. 175-187. http://dx.doi.org/10.1006/jdeq.2000.3972

View/Open
averaging.pdf (153.9Kb)
Type
Article accepté pour publication ou publié
Date
2001
Journal name
Journal of Differential Equations
Volume
175
Number
1
Publisher
Elsevier
Pages
175-187
Publication identifier
http://dx.doi.org/10.1006/jdeq.2000.3972
Metadata
Show full item record
Author(s)
Féjoz, Jacques
Abstract (EN)
Levi-Civita's regularization procedure for the two-body problem easily extends to a regularization of double inner collisions in the system consisting of two uncoupled Newtonian two-body problems. Some action-angle variables are found for this regularization, and the inner body is shown to describe ellipses on all energy levels. This allows us to de ne a second projection of the phase space onto the space of pairs of ellipses with xed foci. It turns out that the initial and regularized averaged Hamiltonians of the three-body problem agree, when seen as functions on the space of pairs of ellipses. After the reduction of the problem by the symmetry of rotations, the initial and regularized averaged planar three-body problems are shown to be orbitally conjugate, up to a di eomorphism in the parameter space consisting of the masses, the semi major axes and the angular momentum.
Subjects / Keywords
three-body problem; regularization; averaging; secular system

Related items

Showing items related by title and author.

  • Thumbnail
    Quasiperiodic motions in the planar three-body problem 
    Féjoz, Jacques (2002) Article accepté pour publication ou publié
  • Thumbnail
    Diffusion along mean motion resonance in the restricted planar three-body problem 
    Féjoz, Jacques; Guardia, Marcel; Kaloshin, Vadim; Roldán, Pablo (2011) Document de travail / Working paper
  • Thumbnail
    Global Secular Dynamics in the Planar Three-Body Problem 
    Féjoz, Jacques (2002) Article accepté pour publication ou publié
  • Thumbnail
    Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem 
    Féjoz, Jacques; Guardia, Marcel; Kaloshin, Vadim; Roldán, Pablo (2016) Article accepté pour publication ou publié
  • Thumbnail
    Secular instability in the spatial three-body problem 
    Féjoz, Jacques; Guardia, Marcel (2016) Article accepté pour publication ou publié
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo