Geodesic
Symbolic dynamics in the planar three-body problem
Russian journal of nonlinear dynamics, Tome 3 (2007) no. 3, pp. 297-330 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A chaotic invariant set is constructed for the planar three-body problem. The orbits in the invariant set exhibit many close approaches to triple collision and also excursions near infinity. The existence proof is based on finding appropriate “windows” in the phase space which are stretched across one another by flow-defined Poincaré maps.
Keywords: Celestial Mechanics, three-body problem. 
@article{ND_2007_3_3_a2,
     author = {R. Moeckel},
     title = {Symbolic dynamics in the planar three-body problem},
     journal = {Russian journal of nonlinear dynamics},
     pages = {297--330},
     year = {2007},
     volume = {3},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2007_3_3_a2/}
}
TY  - JOUR
AU  - R. Moeckel
TI  - Symbolic dynamics in the planar three-body problem
JO  - Russian journal of nonlinear dynamics
PY  - 2007
SP  - 297
EP  - 330
VL  - 3
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ND_2007_3_3_a2/
LA  - ru
ID  - ND_2007_3_3_a2
ER  - 
%0 Journal Article
%A R. Moeckel
%T Symbolic dynamics in the planar three-body problem
%J Russian journal of nonlinear dynamics
%D 2007
%P 297-330
%V 3
%N 3
%U http://geodesic.mathdoc.fr/item/ND_2007_3_3_a2/
%G ru
%F ND_2007_3_3_a2
R. Moeckel. Symbolic dynamics in the planar three-body problem. Russian journal of nonlinear dynamics, Tome 3 (2007) no. 3, pp. 297-330. http://geodesic.mathdoc.fr/item/ND_2007_3_3_a2/