Equilibrium solutions of the restricted problem of 2 + 2 axisymmetric rigid bodies

Elshaboury, S. M.

doi:10.1007/bf00048764

Cited by 18 publications

(10 citation statements)

References 8 publications

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“…The motions of artificial Earth satellites are examples of this. This inspires scientists to include the shapes of the bodies in their study (Subbarao and Sharma 1975;El-Shaboury 1991;Elipe 1992;Sharma et al 2001;Abdul Raheem and Singh 2006;Chandra and Kumar 2004).…”

Section: Introductionmentioning

confidence: 97%

Stability of equilibrium points in the generalized perturbed restricted three-body problem

Singh

Begha

2010

Astrophys Space Sci

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This paper studies the existence and stability of equilibrium points under the influence of small perturbations in the Coriolis and the centrifugal forces, together with the non-sphericity of the primaries. The problem is generalized in the sense that the bigger and smaller primaries are respectively triaxial and oblate spheroidal bodies. It is found that the locations of equilibrium points are affected by the non-sphericity of the bodies and the change in the centrifugal force. It is also seen that the triangular points are stable for 0 < μ < μ c and unstable for μ c ≤ μ < 1 2 , where μ c is the critical mass parameter depending on the above perturbations, triaxiality and oblateness. It is further observed that collinear points remain unstable.

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Section: Introductionmentioning

confidence: 97%

Stability of equilibrium points in the generalized perturbed restricted three-body problem

Singh

Begha

2010

Astrophys Space Sci

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“…al. [9]; El-Shaboury [10]; Bhatnagar et al [11]; Selaru D. et.al. [12]; Markellos et al [13]; Subbarao and Sharma [14]; Khanna and Bhatnagar [15], [16]; Roberts G.E.…”

Section: Introductionmentioning

confidence: 99%

Non-collinear libration points in CR3BP when less massive primary is an heterogeneous oblate body with N-layers

Idrisi¹,

Kumari²

2016

IJAA

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In the present paper, the existence of non-collinear libration points has been shown in circular restricted three-body problem when less massive primary is a heterogeneous oblate body with N-layers. Further, the stability of non-collinear libration points is investigated in linear sense and found that the non-collinear libration points are stable for the critical value of mass parameter µ ≤ µ crit = µ o -3.32792 k 1 -1.16808 k 2 .

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“…al. [10]; El-Shaboury [11]; Bhatnagar et al [12]; Selaru D. et.al. [13]; Markellos et al [14]; Subbarao and Sharma [15]; Khanna and Bhatnagar [16,17]; Roberts G.E.…”

Section: Introductionmentioning

confidence: 99%

A general solution to non-collinear equilibria in terms of largest root (κ) of confocal oblate spheroid

Idrisi¹

2016

IJAA

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This paper deals with the existence of non-collinear equilibria in restricted three-body problem when less massive primary is an oblate spheroid and the potential of oblate spheroid is in terms of largest root of confocal oblate spheroid. This is found that the non-collinear equilibria are the solution of the equations r 1 = n -2/3 and κ = 1 -a 2 , where r 1 is the distance of the infinitesimal mass from more massive primary, n is mean-motion of primaries, a is semi axis of oblate spheroid and κ is the largest root of the equation of confocal oblate spheroid passes through the infinitesimal mass.

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Equilibrium solutions of the restricted problem of 2 + 2 axisymmetric rigid bodies

Cited by 18 publications

References 8 publications

Stability of equilibrium points in the generalized perturbed restricted three-body problem

Stability of equilibrium points in the generalized perturbed restricted three-body problem

Non-collinear libration points in CR3BP when less massive primary is an heterogeneous oblate body with N-layers

A general solution to non-collinear equilibria in terms of largest root (κ) of confocal oblate spheroid

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