Stability of the equilibrium points in the circular restricted four body problem with oblate primary and variable mass

Ansari, Abdullah A.

doi:10.14419/ijaa.v4i1.5831

Cited by 7 publications

(2 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…And also the elements of periodic orbits around equilibrium points are affected by oblateness. Abdullah [15] investigated the libration points and stability of the restricted four body problem with one of the primaries as oblate body and the infinitesimal body is taken as variable mass. Due to the oblateness, the triangular configuration becomes isosceles triangular configuration.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamics in the circular restricted three body problem with perturbations

Ansari

Alam

2017

IJAA

Self Cite

View full text Add to dashboard Cite

This paper presents the dynamics in the restricted problem with perturbations i.e. the circular restricted three body problem by considering one of the primaries as oblate and other one having the solar radiation pressure and all the masses are variable (primaries and infinitesimal body). For finding the autonomized equations of motion, we have used the Meshcherskii transformation. We have drawn the libration points, the time series, the zero velocity curves and Poincare surface of sections for the different values of the oblateness and solar radiation pressure. Finally, we have examined the stability and found that all the libration points are unstable.

show abstract

Section: Introductionmentioning

confidence: 99%

“…All the configuration are shown in figure1. Following the procedure of Abdullah [15], we can write the equations of motion of the infinitesimal variable mass in the circular restricted three body problem under the effects of oblateness and radiation pressure, when the variation of mass is non-isotropic and originates from one point as …”

Section: Introductionmentioning

confidence: 99%