De la bifurcació de Hopf al teorema del centre de Lyapunov. Aplicacions al problema restringit dels tres cossos

Autor: Almasqué Vila, Roger

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Àlex Haro
[en] Lyapunov center theorem provides the conditions in order to ensure the existence of periodic orbits in the surrou

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______963::a500290b3ad69418d6c761f2b9224f40
http://hdl.handle.net/2445/198341

Invariant manifolds and transport in a Sun-perturbed Earth-Moon system

Autor: Nicolás Ávila, Begoña

[eng] This dissertation is devoted to the analysis of the motion of small bodies, like asteroids, in the neighbourhood of the Earth-Moon system from a celestial mechanics approach. This is an extensive area of research where probably, the most extend

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______963::525aa7e367a8dc381fd616662745215d
http://hdl.handle.net/10803/675932

Transfers from the Earth to L2 Halo orbits in the Earth-Moon bicircular problem

Autor: José J. Rosales, Àngel Jorba, Marc Jorba-Cuscó

Publikováno v: Dipòsit Digital de la UB
Universidad de Barcelona
Re-Unir. Archivo Institucional de la Universidad Internacional de La Rioja
instname

This paper deals with direct transfers from the Earth to Halo orbits related to the translunar point. The gravitational influence of the Sun as a fourth body is taken under consideration by means of the Bicircular Problem (BCP), which is a periodic t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7756446b7159d78c58fc33ece4a235fb
http://hdl.handle.net/2445/183552

On the stability of the Lagrangian points in the restricted circular 3-body problem

Autor: Romero Marimon, Pablo

Publikováno v: Dipòsit Digital de la UB
Universidad de Barcelona

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Àngel Jorba i Monte
[en] The 3-body problem is one of the most celebrated problems in mathematics. In this work we aim to find t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::e796becdde880c37a11fffa4a696ccac
http://hdl.handle.net/2445/181696

On the effect of the Sun's gravity around the Earth-Moon L1 and L2 libration points

Autor: Rosales de Cáceres, José J.

Publikováno v: Dipòsit Digital de la UB
Universidad de Barcelona
TDX (Tesis Doctorals en Xarxa)
TDR: Tesis Doctorales en Red
CBUC, CESCA
TDR. Tesis Doctorales en Red
instname

[eng] In this thesis we explored some aspects of the dynamics around the Earth-Moon L1 and L2 points in the context of two Restricted Four Body Problems: the Bicircular Problem (BCP) and the Quasi-bicircular Problem (QBCP). Both the BCP and QBCP mode

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::300fa3b2791b94a8cfb0e6fc3fda8a48
http://hdl.handle.net/2445/173964