Non-linear stability zones around triangular equilibria in the plane circular restricted three-body problem with oblateness

1996 ◽  
Vol 245 (1) ◽  
pp. 157-164 ◽  
Author(s):  
V. V. Markellos ◽  
K. E. Papadakis ◽  
E. A. Perdios
Keyword(s):  
Linear Stability ◽  
Body Problem ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Non Linear ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document