scholarly journals Linear stability of relative equilibria in the charged three-body problem

2008 ◽  
Vol 245 (7) ◽  
pp. 1923-1944 ◽  
Author(s):  
Felipe Alfaro ◽  
Ernesto Perez-Chavela
Keyword(s):  
Linear Stability ◽  
Body Problem ◽  
Relative Equilibria ◽  
Three Body Problem ◽  
Three Body

scholarly journals LOCATION AND STABILITY OF THE TRIANGULAR POINTS IN THE TRIAXIAL ELLIPTIC RESTRICTED THREE-BODY PROBLEM

2021 ◽  
Vol 57 (2) ◽  
pp. 311-319
Author(s):  
M. Radwan ◽  
Nihad S. Abd El Motelp
Keyword(s):  
Linear Stability ◽  
Periodic Orbits ◽  
Body Problem ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Stability Regions ◽  
Triangular Points ◽  
Problem Frame ◽  
The Stability ◽  
Three Body

The main goal of the present paper is to evaluate the perturbed locations and investigate the linear stability of the triangular points. We studied the problem in the elliptic restricted three body problem frame of work. The problem is generalized in the sense that the two primaries are considered as triaxial bodies. It was found that the locations of these points are affected by the triaxiality coefficients of the primaries and the eccentricity of orbits. Also, the stability regions depend on the involved perturbations. We also studied the periodic orbits in the vicinity of the triangular points.

ω-Index Theory and Linear Stability of Elliptic Lagrangian Solutions of the Classical Three-Body Problem

2012 ◽  
Vol 12 (4) ◽  
Author(s):  
Yiming Long
Keyword(s):  
Linear Stability ◽  
Equilateral Triangle ◽  
Body Problem ◽  
Mass Parameter ◽  
Index Theory ◽  
Three Body Problem ◽  
Homographic Solutions ◽  
Three Body

AbstractIt is well known that the linear stability of Lagrangian elliptic equilateral triangle homographic solutions in the classical planar three-body problem depends on the mass parameter β = 27(m

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