Stability of triangular lagrangian points in elliptical restricted three body problem under the radiating binary systems

Narayan, A.; Singh, Nutan

doi:10.1007/s10509-014-2014-8

Cited by 12 publications

(8 citation statements)

References 21 publications

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“…Narayan and Usha [15] examined the stability of primaries under the assumption that the bigger primary is source of radiation and smaller one is a triaxial rigid body, and it has been seen that effect of radiation pressure is more significant than the oblateness and triaxiality.In another paper,Narayan and singh [16] investigated the linear stability of triangular points under the assumption that bothe the primaries are source of radiation. The Authors Narayan,A., Pandey, K.K and Shrivastava,S.K.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Characteristics exponents of the triangular solution in the elliptical restricted three-body problem under radiating and triaxial primaries

Narayan

Pandey²,

Shrivastava³

2017

IJAA

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This Paper deals with the effects of the radiation pressure and triaxiality of primaries on the stability of infinitesimal motion about triangular equilibrium points [ 4 , 5 ] in the elliptical restricted three body problem (ER3EB) around binary system. For determining the characteristic exponents of variational equations with periodic coefficient, we have used analytical method, described by Bennet in [3,4]. This analytical method is based on Floquet's theory. The stability of equilibrium points has been discussed under the assumption thatboth the primaries are radiating and triaxial. For this we have drawn transition cureves in μ-e plane. And it is seen that system is stable outside the transition curves, while system is Unstable within the transition curves.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Characteristics exponents of the triangular solution in the elliptical restricted three-body problem under radiating and triaxial primaries

Narayan

Pandey²,

Shrivastava³

2017

IJAA

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“…Narayan and Usha [15] examined the stability of the infinitesimal mass about the triangular equilibrium points in the ER3BP assuming that the bigger primary is a source of radiation and smaller one is a triaxial rigid body, and found that the effect of radiation pressure is more significant than the oblateness and triaxiality of the primaries. Narayan and Singh [14] Differ Equ Dyn Syst In another paper, Narayan and Singh [21] investigated the linear stability of triangular equilibrium points considering radiating primaries by Grebenikov method [3]. It was found that for the stability of the triangular equilibrium points, critical mass ratio satisfied the relation μ = 1 2 − 1 − 4 + 16e 2 (e 2 − 1) 27 + 6β 1 + 6β 2 .…”

Section: Conclusion and Discussionmentioning

confidence: 99%

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

Narayan

Singh²

2014

Differ Equ Dyn Syst

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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 μ-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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“…He found that an allowance for direct solar radiation pressure results in a change in the positions of the libration points. This has been intensively studied over five decades, by several researchers like [7][8][9][10][11][12][13][14][15], since a large percentage of astronomical bodies are emitters of radiation.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the Stability of a Test Particle in the Vicinity of Collinear Points with the Additional Influence of an Oblate Primary and a Triaxial-Stellar Companion in the Frame of ER3BP

Hussain

Umar

Singh

2018

IFSL

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We investigate in the elliptic framework of the restricted three-body problem, the motion around the collinear points of an infinitesimal particle in the vicinity of an oblate primary and a triaxial stellar companion. The locations of the collinear points are affected by the eccentricity of the orbits, oblateness of the primary body and the triaxiality and luminosity of the secondary. A numerical analysis of the effects of the parameters on the positions of collinear points of CEN X-4 and PSR J1903+0327 reveals a general shift away from the smaller primary with increase in eccentricity and triaxiality factors and a shift towards the smaller primary with increase in the semi-major axis and oblateness of the primary on L1. The collinear points remain unstable in spite of the introduction of these parameters.

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Stability of triangular lagrangian points in elliptical restricted three body problem under the radiating binary systems

Cited by 12 publications

References 21 publications

Characteristics exponents of the triangular solution in the elliptical restricted three-body problem under radiating and triaxial primaries

Characteristics exponents of the triangular solution in the elliptical restricted three-body problem under radiating and triaxial primaries

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

Investigation of the Stability of a Test Particle in the Vicinity of Collinear Points with the Additional Influence of an Oblate Primary and a Triaxial-Stellar Companion in the Frame of ER3BP

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