Open AccessLinear stability and resonance of triangular equilibrium points in elliptic restricted three body problem with radiating primary and triaxial secondary
Author(s) -
Tune Usha,
A. Narayan
Publication year - 2016
Publication title -
international journal of advanced astronomy
Language(s) - English
Resource type - Journals
ISSN - 2312-7414
DOI - 10.14419/ijaa.v4i2.6536
Subject(s) - linear stability , resonance (particle physics) , stability (learning theory) , three body problem , equilibrium point , linear system , mathematical analysis , mathematics , order (exchange) , physics , classical mechanics , mechanics , atomic physics , instability , computer science , differential equation , finance , machine learning , economics
The present paper studies the linear stability of the triangular equilibrium points of the system. The system comprises of a radiating primary and a triaxial secondary in elliptic restricted three body problem. The existence of third order resonances has been shown and the linear stability has been analyzed for these resonance cases. For the resonance case, and , the conditions of the linear stability are satisfied and the system is stable. But, for the resonance cases and the system is unstable.