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Secular Instability in the Three-Body Problem

Autor
Fejoz, J.; Guardia, M.
Tipus d'activitat
Article en revista
Revista
Archive for rational mechanics and analysis
Data de publicació
2016-07-01
Volum
221
Número
1
Pàgina inicial
335
Pàgina final
28
DOI
https://doi.org/10.1007/s00205-015-0962-y Obrir en finestra nova
Projecte finançador
DINAMICA ASOCIADA A CONEXIONES ENTRE OBJETOS INVARIANTES. APLICACIONES A ASTRODINAMICA, NEUROCIENCIA Y OTROS CAMPOS
DINAMICA ASOCIADA A CONEXIONES ENTRE OBJETOS INVARIANTES. APLICACIONES A
Repositori
http://hdl.handle.net/2117/86530 Obrir en finestra nova
Resum
Consider the three-body problem, in the regime where one body revolves far away around the other two, in space, the masses of the bodies being arbitrary but fixed; in this regime, there are no resonances in mean motions. The so-called secular dynamics governs the slow evolution of the Keplerian ellipses. We show that it contains a horseshoe and all the chaotic dynamics which goes along with it, corresponding to motions along which the eccentricity of the inner ellipse undergoes large, random exc...
Citació
Fejoz, J., Guardia, M. Secular instability in the three-body problem. "Archive for rational mechanics and analysis", 03 Febrer 2016, p. 1-28.
Paraules clau
COLLISION, DYNAMICS, FLOWS, MOTIONS, ORBITS
Grup de recerca
SD - Sistemes Dinàmics de la UPC

Participants

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