Stability of triangular equilibrium points in the elliptic restricted problem of three bodies with radiating and triaxial primaries

Narayan, A.; Usha, Tune

doi:10.1007/s10509-014-1818-x

Cited by 32 publications

(19 citation statements)

References 10 publications

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“…It has been shown that resonances of the third order exist under the range of linear stability. This paper is in continuation of the paper ( Usha [27] and Narayan [23]). The study of linear stability in presence of resonance makes the work different from the other works.…”

Section: Introductionmentioning

confidence: 52%

Linear stability and resonance of triangular equilibrium points in elliptic restricted three body problem with radiating primary and triaxial secondary

Usha¹,

Narayan

2016

IJAA

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The present paper studies the linear stability of the triangular equilibrium points of the system. The system comprises of a radiating primary and a triaxial secondary in elliptic restricted three body problem. The existence of third order resonances has been shown and the linear stability has been analyzed for these resonance cases. For the resonance case, 3 2 = 1 and 2 1 + 2 = 0, the conditions of the linear stability are satisfied and the system is stable. But, for the resonance cases 2 1 + 2 = 1 and 1 − 2 2 = 2 the system is unstable.

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Section: Introductionmentioning

confidence: 52%

Linear stability and resonance of triangular equilibrium points in elliptic restricted three body problem with radiating primary and triaxial secondary

Usha¹,

Narayan

2016

IJAA

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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%

“…[12], Narayan, A., Kumar, C.R. [13], Narayan, A., Singh, N. [14], Narayan, A., Usha, T. [15] , Singh, J., Aishetu, U. (2012), Singh, J., Aishetu, U.…”

Section: Introductionmentioning

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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“…Many authors such as [1][2][3][4][5] have studied the elliptical restricted three body problem in detail. The influence of eccentricity of orbits of the primaries with or without radiation pressure,oblateness and triaxiality of the primaries are studied by [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. The present study is an attempt to derive the differential equation governing the motion of the triangular equilibrium points on the assumption that both the primaries are oblate triaxial rigid body.…”

Section: Introductionmentioning

confidence: 99%

Pulsating curves of zero velocity for infinitesimal mass around oblate and triaxial rigid body of triangular equilibrium points in elliptical restricted three body problem

Singh

Narayan²

2017

IJAA

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Stability of triangular equilibrium points in the elliptic restricted problem of three bodies with radiating and triaxial primaries

Cited by 32 publications

References 10 publications

Linear stability and resonance of triangular equilibrium points in elliptic restricted three body problem with radiating primary and triaxial secondary

Linear stability and resonance of triangular equilibrium points in elliptic restricted three body problem with radiating primary and triaxial secondary

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

Pulsating curves of zero velocity for infinitesimal mass around oblate and triaxial rigid body of triangular equilibrium points in elliptical restricted three body problem

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