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Characteristics Exponents of the Triangular Solutions in the Elliptical Restricted Three-Body Problem Under Radiating Primaries

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Abstract

A general perturbation technique based on characteristics exponents is used to study the stability of the infinitesimal motion about the triangular equilibrium points in elliptical restricted three-body problem (ER3BP) under the effect of radiating primaries. Floquet’s theory developed by Bennet (Icarus 4:177–187, 1965) has been exploited for determining the characteristics components to the variational equations with periodic coefficients. The stability of the triangular points has been studied under the radiating primaries by drawing transition curves using simulation technique in \(\mu \)–e plane. It is observed that for the region within the transition curves, the system is unstable, whereas for the region outside these curves, the equilibrium triangular points are stable.

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Acknowledgments

The authors acknowledge and are grateful to the reviewers; theirs comments have greatly improved this paper.

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  1. Bhilai Institute of Technology, Durg, 491001, India

    A. Narayan

  2. Rungta college of Engg & Tech, Bhilai, 490020, India

    Nutan Singh

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  1. A. Narayan
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Correspondence to Nutan Singh.

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Narayan, A., Singh, N. Characteristics Exponents of the Triangular Solutions in the Elliptical Restricted Three-Body Problem Under Radiating Primaries. Differ Equ Dyn Syst 24, 329–343 (2016). https://doi.org/10.1007/s12591-014-0230-x

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  • DOI: https://doi.org/10.1007/s12591-014-0230-x

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