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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

Author

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

Abstract

The collinear equilibrium points and periodic motion around them are studied in the framework of the restricted three-body problem where the two primaries are triaxial rigid bodies which emit radiation. Firstly, the positions and stability of the collinear equilibria are studied for the HD 191408, Kruger 60 and HD 155876 binary systems. Then, the planar and three-dimensional periodic motion about these points is considered. Our study includes both semi-analytical and numerical determination of these motions. It is found that all families of planar periodic orbits emanating from these points terminate with asymptotic periodic orbits at the triangular equilibrium points while the corresponding families of three-dimensional periodic orbits terminate with planar periodic orbits. Families of Halo orbits bifurcating from the first vertical critical periodic orbit of the three planar Lyapunov families were also considered.

Suggested Citation

  • Singh, Jagadish & Perdiou, A.E. & Gyegwe, Jessica Mrumun & Perdios, E.A., 2018. "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," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 358-374.
    • Handle: RePEc:eee:apmaco:v:325:y:2018:i:c:p:358-374
    DOI: 10.1016/j.amc.2017.11.052
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    Cited by:

    1. Elbaz I. Abouelmagd & Sawsan Alhowaity & Zouhair Diab & Juan L. G. Guirao & Mahmoud H. Shehata, 2022. "On the Periodic Solutions for the Perturbed Spatial Quantized Hill Problem," Mathematics, MDPI, vol. 10(4), pages 1-17, February.

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