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On the Stability of the Triangular Equilibrium Points in the Elliptic Restricted Three-Body Problem with Radiation and Oblateness

In: Mathematical Analysis and Applications

Author

Listed:
  • Vassilis S. Kalantonis

    (University of Patras)

  • Angela E. Perdiou

    (University of Patras)

  • Efstathios A. Perdios

    (University of Patras)

Abstract

The elliptic restricted three-body problem when the primary is a source of radiation and the secondary is an oblate spheroid is considered and the stability of the triangular equilibrium points is studied. The transition curves separating stable from unstable regions are determined in the parametric space both analytically and numerically. Our results show that the oblateness and radiation parameters do not cause significant changes on the topology of the stability regions in the parametric plane defined by the mass parameter and eccentricity. However, in the remaining parametric planes, we observe that by increasing the values of the parameters which are kept fixed stability gives place to instability.

Suggested Citation

  • Vassilis S. Kalantonis & Angela E. Perdiou & Efstathios A. Perdios, 2019. "On the Stability of the Triangular Equilibrium Points in the Elliptic Restricted Three-Body Problem with Radiation and Oblateness," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Panos M. Pardalos (ed.), Mathematical Analysis and Applications, pages 273-286, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-31339-5_9
    DOI: 10.1007/978-3-030-31339-5_9
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