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

2019 ◽  
Vol 341 (1) ◽  
pp. 32-43
Author(s):  
Bhavneet Kaur ◽  
Dinesh Kumar ◽  
Shipra Chauhan
Keyword(s):  
Density Parameter ◽  
Straight Segment ◽  
Centrifugal Forces ◽  
Segment Model ◽  
Coriolis And Centrifugal Forces

scholarly journals Effect of Perturbations in Coriolis and Centrifugal Forces on the Nonlinear Stability of Equilibrium Point in Robe's Restricted Circular Three-Body Problem

2008 ◽  
Vol 2008 ◽  
pp. 1-21 ◽  
Author(s):  
P. P. Hallan ◽  
Khundrakpam Binod Mangang
Keyword(s):  
Equilibrium Point ◽  
Nonlinear Stability ◽  
Body Problem ◽  
Kam Theory ◽  
Density Parameter ◽  
Centrifugal Forces ◽  
Three Body Problem ◽  
Coriolis And Centrifugal Forces ◽  
Mass Ratios ◽  
Three Body

The effect of perturbations in Coriolis and cetrifugal forces on the nonlinear stability of the equilibrium point of the Robe's (1977) restricted circular three-body problem has been studied when the density parameterKis zero. By applying Kolmogorov-Arnold-Moser (KAM) theory, it has been found that the equilibrium point is stable for all mass ratiosμin the range of linear stability8/9+(2/3)((43/25)ϵ1−(10/3)ϵ)<μ<1, whereϵandϵ1are, respectively, the perturbations in Coriolis and centrifugal forces, except for five mass ratiosμ1=0.93711086−1.12983217ϵ+1.50202694ϵ1,μ2=0.9672922−0.5542091ϵ+1.2443968ϵ1,μ3=0.9459503−0.70458206ϵ+1.28436549ϵ1,μ4=0.9660792−0.30152273ϵ+ 1.11684064ϵ1,μ5=0.893981−2.37971679ϵ+ 1.22385421ϵ1, where the theory is not applicable.

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