scholarly journals Effect of Perturbations in Coriolis and Centrifugal Forces on the Non-Linear Stability of <i>L</i><sub>4</sub> in the Photogravitational Restricted Three Body Problem

2015 ◽  
Vol 05 (04) ◽  
pp. 275-290
Author(s):  
Kavita Chauhan ◽  
S. N. Rai ◽  
Rajiv Aggarwal
Keyword(s):  
Linear Stability ◽  
Body Problem ◽  
Restricted Three Body Problem ◽  
Centrifugal Forces ◽  
Three Body Problem ◽  
Coriolis And Centrifugal Forces ◽  
Non Linear ◽  
Three Body

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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