Periodic solutions around the collinear equilibrium points in the perturbed restricted three-body problem with triaxial and radiating primaries for binary HD 191408, Kruger 60 and HD 155876 systems

Singh, Jagadish; Perdiou, A. E.; Gyegwe, Jessica Mrumun; Perdios, E. A.

doi:10.1016/j.amc.2017.11.052

Cited by 10 publications

(19 citation statements)

References 36 publications

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“…Assuming that the coordinate of the third particle is (x, y, z), the two primaries are located at (µ, 0, 0) and (µ − 1, 0, 0), respectively. According to Singh et al [17] and Jain et al [10], the equations of motion of the third particle are…”

Section: Dynamical Equationsmentioning

confidence: 99%

“…In the plane, the motion equations of the third particle are (see [17] When C = 3, the zero-velocity surface of the third particle is shown in Figure 6. The third particle can only skim over two primaries under the action of gravity but cannot pass through the forbidden area around them.…”

Section: Expansion Of the 2d Equations Of Motionmentioning

confidence: 99%

“…Using Taylor expansion, the RHSs of Equation 14are expanded to the second-order terms (see [17]); thus, the motion equations of the third particle become…”

Section: Expansions Of the Three-dimensional Equations Of Motionmentioning

confidence: 99%

“…Berardo et al [16] presented new observations of HIP 41378, and its possible orbital periods were obtained through observation. Singh et al [17] studied the collinear equilibrium points and periodic motion around them in the RTBP for the binary HD 191408 system, where the two primaries are triaxial rigid bodies and emit radiation. Moreover, the effects of different parameters on the collinear equilibrium points were discussed.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we inherit the model of the perturbed restricted three-body problem of Singh et al [17] and Jain et al [10] and continue to study the binary HD 191408 system. In Section 2, the dynamical equations that involve the parameters of the third particle in the binary system are obtained.…”

Section: Introductionmentioning

confidence: 99%

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Bifurcation Analysis and Periodic Solutions of the HD 191408 System with Triaxial and Radiative Perturbations

Gao

Wang

2020

Universe

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The nonlinear orbital dynamics of a class of the perturbed restricted three-body problem is 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, the effects 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 periodic orbits 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. [Singh et 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 bifurcation of the binary system.

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Section: Dynamical Equationsmentioning

confidence: 99%

Section: Expansion Of the 2d Equations Of Motionmentioning

confidence: 99%

“…Using Taylor expansion, the RHSs of Equation 14are expanded to the second-order terms (see [17]); thus, the motion equations of the third particle become…”

Section: Expansions Of the Three-dimensional Equations Of Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations