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

Vassilis S. Kalantonis (), Angela E. Perdiou () and Efstathios A. Perdios ()
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Vassilis S. Kalantonis: University of Patras
Angela E. Perdiou: University of Patras
Efstathios A. Perdios: University of Patras

A chapter in Mathematical Analysis and Applications, 2019, pp 273-286 from Springer

Abstract: 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.

Keywords: 70F07; 70F15; 70K20; 70K42 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/978-3-030-31339-5_9

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