Basic principles of rehabilitation for lost eye: A dentist′s perspectives

Baslas, Varun; Kaur, Simranjeet; Yadav, Rohit; Aggarwal, Himanshi; Jurel, Sunit Kumar; Kumar, Pradeep

doi:10.4103/0974-5009.157042

Cited by 2 publications

(2 citation statements)

References 10 publications

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“…An effort to generalize Robe's problem to a 2 + 2 body problem was made by Kaur & Aggarwal (2012). They further studied Robe's restricted problem of 2 + 2 bodies with other variations in the shape of the primary bodies in Kaur & Aggarwal (2013a), Kaur & Aggarwal (2013b), Aggarwal & Kaur (2014), and Kaur et al (2016).…”

Section: Introductionmentioning

confidence: 99%

An insight on the restricted problem of 2 + 2 bodies with straight segment

Kumar

Aggarwal

Kaur³

2020

Astron Nachr

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In the present paper, an effort to generalize the restricted problem of 2 + 2 bodies has been made by considering the primary bodies m1 and m2 to be a point mass and straight segment of length 2l, respectively. The motion of the two infinitesimal bodies mi, i = 3, 4 has been investigated, in which each mi, i = 3, 4 is moving in the gravitational field of mj, j = 1, 2, 3, 4 with i ≠ j. For the present problem, 14 equilibrium points are obtained, of which 6 are collinear and the rest are noncollinear. The length parameter l has a subsequent effect on the location of all the equilibrium points. Systematic stability analysis has been carried out by using the theory of perturbation. All the equilibrium points are found to be unstable.

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Section: Introductionmentioning

confidence: 99%

An insight on the restricted problem of 2 + 2 bodies with straight segment

Kumar

Aggarwal

Kaur³

2020

Astron Nachr

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show abstract

“…In a series of papers, Aggarwal et al (), Aggarwal & Kaur (), Kaur & Aggarwal (), Kaur & Aggarwal (), Kaur & Aggarwal (), and Kaur et al () have conducted exhaustive work on the extension of Robe's problem to a 2 + 2 body problem by considering the shape of the primaries to be oblate and triaxial. Singh & Omale () studied the motion of an infinitesimal mass in Robe's circular‐restricted three‐body problem with zonal harmonics in two cases.…”

Section: Introductionmentioning

confidence: 99%

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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Basic principles of rehabilitation for lost eye: A dentist′s perspectives

Cited by 2 publications

References 10 publications

An insight on the restricted problem of 2 + 2 bodies with straight segment

An insight on the restricted problem of 2 + 2 bodies with straight segment

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

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