J2 effect and elliptic inclined periodic orbits in the collision three-body problem

Autor: Barrabés Vera, Esther, Cors Iglesias, Josep Maria, Pinyol Pérez, Conxita, Soler Villanueva, Jaume

Publikováno v: © SIAM journal on applied dynamical systems, 2008, vol. 7, núm. 1, p. 1-17
Articles publicats (D-IMA)
DUGiDocs – Universitat de Girona
instname
Recercat. Dipósit de la Recerca de Catalunya
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Jaume I

The existence of a new class of inclined periodic orbits of the collision restricted three{body problem is shown. The symmetric periodic solutions found are perturbations of elliptic kepler orbits and they exist only for special values of the inclina

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::1a4fbaed048c480450309d9688e51062
https://hdl.handle.net/10256/8980

Hip-hop solutions of the 2N-body problem

Autor: Barrabés Vera, Esther, Cors Iglesias, Josep Maria, Pinyol Pérez, Conxita, Soler Villanueva, Jaume

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
Universitat Jaume I
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Hip–Hop solutions of the 2N–body problem with equal masses are shown to exist using an analytic continuation argument. These solutions are close to planar regular 2N–gon relative equilibria with small vertical oscillations. For fixed N, an in�

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::46f06c7385a7a35efc9e6f9a982f30d0
http://hdl.handle.net/2117/21119