Approximate Analytical Periodic Solutions to the Restricted Three-Body Problem with Perturbation, Oblateness, Radiation and Varying Mass
Gao, Fabao (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Wang, Yongqing (Yangzhou University. School of Mathematical Science)

Data:	2020
Resum:	Against the background of a restricted three-body problem consisting of a supergiant eclipsing binary system, the two primaries are composed of a pair of bright oblate stars whose mass changes with time. The zero-velocity surface and curve of the problem are numerically studied to describe the third body's motion area, and the corresponding five libration points are obtained. Moreover,theeffectofsmallperturbations,Coriolisandcentrifugalforces,radiativepressure,andthe oblateness and mass parameters of the two primaries on the third body's dynamic behavior is discussed through the bifurcation diagram. Furthermore, the second- and third-order approximate analytical periodic solutions around the collinear solution point L3 in two-dimensional plane and three-dimensional spaces are presented by using the Lindstedt-Poincaré perturbation method.
Drets:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Periodic solution ; Bifurcation analysis ; Three-body problem ; Lindstedt-Poincaré perturbation
Publicat a:	Universe, Vol. 6, Núm. 8 (August 2020) , art. 110, ISSN 2218-1997

DOI: 10.3390/universe6080110

25 p, 24.1 MB

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