Bifurcation analysis and periodic solutions of the HD 191408 system with triaxial and radiative perturbations
Gao, Fabao (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Wang, Ruifang (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Data:	2020
Resum:	The nonlinear orbital dynamics of a class of the perturbed restricted three-bodyproblemis studied. The two primaries considered here refer to the binary system HD 191408. The third particle moves under the gravity of the binary system, whose triaxial rate and radiation factor are also considered. Based on the dynamic governing equation of the third particle in the binary HD 191408 system, the motion state manifold is given. By plotting bifurcation diagrams of the system,theeffects of various perturbation factors on the dynamic behavior of the third particle are discussed in detail. In addition, the relationship between the geometric configuration and the Jacobian constant is discussed by analyzing the zero-velocity surface and zero-velocity curve of the system. Then, using the Poincaré-Lindsted method and numerical simulation, the second- and third-order periodicorbits of the third particle around the collinear libration point in two- and three-dimensional spaces are analytically and numerically presented. This paper complements the results by Singh et al. [Singhet al. , AMC, 2018]. It contains not only higher-order analytical periodic solutions in the vicinity of the collinear equilibrium points but also conducts extensive numerical research on the bifurcationofthe binary system.
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:	Binary HD 191408 ; Perturbation ; Bifurcation and chaos ; Periodic orbit
Publicat a:	Universe, Vol. 6, Issue 2 (February 2020) , art. 35, ISSN 2218-1997

DOI: 10.3390/universe6020035

22 p, 6.4 MB

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