Existence and stability of the libration points in CR3BP when the smaller primary is an oblate spheroid

Idrisi, M. Javed

doi:10.1007/s10509-014-2031-7

Cited by 13 publications

(5 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The original CRTBP was proposed in the 1770s with applications to the Trojan asteroids (Hou et al 2014), the Sun-Earth system and similar dynamical systems (Szebehely 1967), while the modified CRTBP with oblateness of primaries can be dated back to the 1970s. Many authors, such as Vidyakin (1974), Sharma & Rao (1976) and Idrisi (2014), have investigated this problem with theoretical discussions. In 2003, Oberti & Vienne (2003) successfully applied this theory to the Saturn system based on observed data, by considering the effect of Saturn's oblateness on the motions of Tethys and Dione's Lagrangian moons Telesto, Calypso and Helene.…”

Section: Dynamic Equations Of the Perturbed Dipole Modelmentioning

confidence: 99%

Extension of the rotating dipole model with oblateness of both primaries

Zeng

Liu

2017

Res. Astron. Astrophys.

View full text Add to dashboard Cite

A rotating mass dipole can be used to understand the dynamical behaviors around elongated asteroids as well as binary asteroids. In this paper an improved dipole model with oblateness in both primaries is investigated. The dynamical equations of a particle around the improved model are first derived by introducing the oblateness coefficients. The characteristic equations of equilibrium points are obtained, resulting in the emergence of new equilibria in the equatorial plane and the plane xoz depending on the shape of the spheroid. Numerical simulations are performed to illustrate the distribution of these equilibrium points. Significant influence from the oblateness of the primaries on the topological structure is also analyzed via zero-velocity curves.

show abstract

Section: Dynamic Equations Of the Perturbed Dipole Modelmentioning

confidence: 99%

Extension of the rotating dipole model with oblateness of both primaries

Zeng

Liu

2017

Res. Astron. Astrophys.

View full text Add to dashboard Cite

show abstract

“…[36]; Sosnytskyi [38]; Ershkov [46]; Arredondo et.al. [47]; Idrisi and Taqvi [48]; Idrisi [49]; Idrisi and Shalini [59]; Idrisi and Jain [60]. The photo-gravitational restricted three-body problem arises from the classical problem if one or both primaries is an intense emitter of radiation, formulated by Radzievskii (1950).…”

Section: Introductionmentioning

confidence: 99%

A study of libration points in CR3BP under albedo effect

Idrisi¹

2016

IJAA

View full text Add to dashboard Cite

In this paper this is investigated how albedo perturbed the libration points from its original position? It is found that there exist five libration points, three collinear and two non-collinear and all the libration points are affected by Albedo. The non-collinear libration points are stable for a critical value of mass parameter µ ≤ µ c , where µ c = µ o − (0.00891747 + 0.222579k)α (µ o is the critical mass parameter for classical case) but collinear libration points are still unstable.

show abstract

“…[21]; Arredondo et.al. [22]; Idrisi and Taqvi [23]; Idrisi [24]; Idrisi and Amjad [25], Idrisi [26]. We got the idea of our problem from the paper 'Rotating Stratified Heterogeneous Oblate Spheriodin Newtonian Physics' by Esteban and Vazquez.…”

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

View full text Add to dashboard Cite

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 .

show abstract

Existence and stability of the libration points in CR3BP when the smaller primary is an oblate spheroid

Cited by 13 publications

References 13 publications

Extension of the rotating dipole model with oblateness of both primaries

Extension of the rotating dipole model with oblateness of both primaries

A study of libration points in CR3BP under albedo effect

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

Contact Info

Product

Resources

About