On the restricted four-body problem with the effect of small perturbations in the Coriolis and centrifugal forces

2017 ◽  
Vol 362 (9) ◽  
Author(s):  
Md Sanam Suraj ◽  
Rajiv Aggarwal ◽  
Monika Arora
Keyword(s):  
Body Problem ◽  
Centrifugal Forces ◽  
Small Perturbations ◽  
Coriolis And Centrifugal Forces ◽  
Four Body Problem

scholarly journals Existence and linear stability of triangular points in the perturbed relativistic R3BP when the bigger primary is an oblate spheroid

2016 ◽  
Vol 4 (1) ◽  
pp. 49
Author(s):  
Bello Nakone ◽  
Jagadish Singh
Keyword(s):  
Linear Stability ◽  
Centrifugal Force ◽  
Critical Mass ◽  
Oblate Spheroid ◽  
Centrifugal Forces ◽  
Mass Ratio ◽  
Small Perturbations ◽  
Coriolis Forces ◽  
Triangular Points ◽  
Coriolis And Centrifugal Forces

We study the effects of oblateness and small perturbations in the Coriolis and centrifugal forces on the locations and stability of the triangular points in the relativistic R3BP. It is observed that the positions are affected by the oblateness, relativistic, and a small perturbation in the centrifugal force, but are unaffected by that of Coriolis force. It is also seen that the relativistic terms, oblateness, small perturbations in the centrifugal and Coriolis forces influence the critical mass ratio. It is also noticed that all the former three and the latter one possess destabilizing and stabilizing behavior respectively. However, the range of stability increases or decreases according to as p >0 or p<0 where p depends upon the relativistic, oblateness and small perturbations in the Coriolis and centrifugal forces.

scholarly journals On the perturbed restricted three-body problem

2016 ◽  
Vol 1 (1) ◽  
pp. 123-144 ◽  
Author(s):  
Elbaz I. Abouelmagd ◽  
Juan L.G. Guirao
Keyword(s):  
Linear Stability ◽  
Periodic Orbits ◽  
Body Problem ◽  
Analytical Study ◽  
Restricted Three Body Problem ◽  
Centrifugal Forces ◽  
Three Body Problem ◽  
Survey Paper ◽  
Coriolis And Centrifugal Forces ◽  
Three Body

AbstractIn this survey paper we offer an analytical study regarding the perturbed planar restricted three-body problem in the case that the three involved bodies are oblate. The existence of libration points and their linear stability are explored under the effects of the perturbations in Coriolis and centrifugal forces. The periodic orbits around these points are also studied under these effects. Moreover, the elements of periodic orbits around these points are determined.

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