Sharma, Baldev R. Managerial Unionism : Issues in Perspective

Subbarao, A. V

doi:10.7202/050889ar

Cited by 1 publication

(2 citation statements)

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“…Subbarao & Sharma () extended the work conducted by Szebehely () considering one of the primaries an oblate spheroid. The oblateness of the primary resulted in the increase of the Coriolis and centrifugal forces.…”

Section: Introductionmentioning

confidence: 96%

“…He also established that the Coriolis force is not always a stabilizing force when the centrifugal force is not considered a constant. Bhatnagar & Hallan () extended the work of Szebehely () and Subbarao & Sharma () by studying the effect of perturbations in the Coriolis and centrifugal forces on the stability of the equilibrium points in the restricted problem of three bodies. He proved that the range of stability of the noncollinear equilibrium points increases or decreases depending on whether the point ( ϵ , ϵ ′) lies in one or the other of the two parts in which the ( ϵ , ϵ ′) plane is divided by the line 36ε‐19ε'=0.…”

Section: Introductionmentioning

confidence: 99%

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Effect of perturbations in the Coriolis and centrifugal forces in the Robe‐finite straight segment model with arbitrary density parameter

2019

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The present article is a study of the effect of small perturbations ϵ and ϵ′ in the Coriolis and centrifugal forces, respectively, on the existence and stability of the equilibrium points in the Robe's restricted three‐body problem when the smaller primary is a finite straight segment. The effect of small perturbations in the centrifugal force has a substantial effect on the location of the equilibrium points, but a small perturbation in the Coriolis force has no impact on them. The present model has two collinear, two out‐of‐plane, and an infinite number of noncollinear equilibrium points. Furthermore, we have discussed the stability of the equilibrium points analytically. The collinear equilibrium points L1 and L2 are found to be conditionally stable for the parameters μ, k, l, ϵ, and ϵ′. It is perceived that, for any ϵ with ∣ϵ ∣ ≪ 1 and ϵ′ ≤ 0.2, L1 is stable, and for ϵ′ ≥ 0.23, it becomes unstable. Furthermore, for any ϵ with |ϵ| ≪ 1 and ϵ′ ≤ −0.025, L2 is stable, and for ϵ′ ≥ −0.024, it becomes unstable. The noncollinear and out‐of‐plane equilibrium points are always unstable.

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Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%