Geodesic
Wrapped Floer Homology and the Restricted Three-Body Problem
Publications de l'Institut Mathématique, _N_S_118 (2025) no. 132, p. 1

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

Using the wrapped Floer homology, we prove the existence of consecutive collisions at the primaries in the circular restricted three-body problem. We also prove the existence of a symmetric periodic orbit. These existence results are obtained for energy hypersurfaces slightly above the first critical value.
DOI : 10.2298/PIM2532001B
Classification : 53D40, 70H05, 70F07, 70F16
Keywords: wrapped Floer homology, three-body problem, Weinstein handle attachment 
Filip Broćić; Urs Frauenfelder. Wrapped Floer Homology and the Restricted Three-Body Problem. Publications de l'Institut Mathématique, _N_S_118 (2025) no. 132, p. 1 . doi: 10.2298/PIM2532001B
@article{10_2298_PIM2532001B,
     author = {Filip Bro\'ci\'c and Urs Frauenfelder},
     title = {Wrapped {Floer} {Homology} and the {Restricted} {Three-Body} {Problem}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {1 },
     year = {2025},
     volume = {_N_S_118},
     number = {132},
     doi = {10.2298/PIM2532001B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM2532001B/}
}
TY  - JOUR
AU  - Filip Broćić
AU  - Urs Frauenfelder
TI  - Wrapped Floer Homology and the Restricted Three-Body Problem
JO  - Publications de l'Institut Mathématique
PY  - 2025
SP  - 1 
VL  - _N_S_118
IS  - 132
UR  - http://geodesic.mathdoc.fr/articles/10.2298/PIM2532001B/
DO  - 10.2298/PIM2532001B
LA  - en
ID  - 10_2298_PIM2532001B
ER  - 
%0 Journal Article
%A Filip Broćić
%A Urs Frauenfelder
%T Wrapped Floer Homology and the Restricted Three-Body Problem
%J Publications de l'Institut Mathématique
%D 2025
%P 1 
%V _N_S_118
%N 132
%U http://geodesic.mathdoc.fr/articles/10.2298/PIM2532001B/
%R 10.2298/PIM2532001B
%G en
%F 10_2298_PIM2532001B

Cité par Sources :