Qualitative study of the charged restricted three-body problem
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Pasca, Daniel (University of Oradea(Rumania). Department of Mathematics and Informatics)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Data:	2013
Resum:	We characterize the global flow of the restricted threebody problem in which we have two mass points of equal masses m1 = m2 > 0 and equal charge q1 = q2 moving on a straight line under Newtonian and Coulombian forces with their centre of mass being fixed at the origin of coordinates and the third mass point with infinitesimal mass, is moving on the straight line perpendicular to the line of motion of the first two mass points and passing through their centre of mass.
Ajuts:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Nota:	Agraïments: The second author was supported by Ministerio de Educación y Ciencia, grant number SB2003-0337. The third author is supported by AGAUR grant PIV-DGR-2010 and by FCT through CAMGDS and through PTDC/MAT/117106/2010. Also the second author thanks Centre de Recerca Matemàtica for the hospitality and facilities at the time when this work was started. The authors thanks to Dr. Ioan Teleagâ for his help with the Figures 1 and 2.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Matèria:	Charged restricted three-body problem ; Periodic orbits ; Global dynamics
Publicat a:	Journal of differential equations, Vol. 255 (2013) , p. 326-338, ISSN 1090-2732

DOI: 10.1016/j.jde.2013.04.012

Postprint 18 p, 338.2 KB

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