Linear Stability of Equilibrium Points in the Generalized Photogravitational Chermnykh's Problem

Abstract

The equilibrium points and their linear stability has been discussed in the generalized photogravitational Chermnykh's problem. The bigger primary is being considered as a source of radiation and small primary as an oblate spheroid. The effect of radiation pressure has been discussed numerically. The collinear points are linearly unstable and triangular points are stable in the sense of Lyapunov stability provided $\mu <{\mu }_{Routh}=0.0385201$. The effect of gravitational potential from the belt is also examined. The mathematical properties of this system are different from the classical restricted three body problem.

References in corpus (7)

• Nonlinear Stability in the Generalised Photogravitational Restricted Three Body Problem with Poynting-Robertson Drag
• The Effect of Radiation Pressure on the Equilibrium Points in the Generalised Photogravitational Restricted Three Body Problem
• On the Chermnykh-Like Problems: II. The Equilibrium Points
• On the Chermnykh-Like Problems: I. The Mass Parameter μ=0.5
• The Drag Induced Resonant Capture for Kuiper Belt Objects
• Normalization of Hamiltonian in the Generalized Photogravitaional Restricted Three Body Problem with Poynting-Robertson Drag
• Higher Order Normalizations in the Generalized Photogravitational Restricted Three Body Problem with Poynting-Robertson Drag

Cited by in corpus (11)

• Effects of albedo and disc on the zero velocity curves and linear stability of equilibrium points in the generalized restricted three body problem
• Periodic Orbits in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile
• Existence of Equilibrium Points and their Linear Stability in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile
• Normalization of Hamiltonian and Nonlinear Stability of the Triangular Equilibrium Points in Non-resonance Case with Perturbations
• Galaxies with Supermassive Binary Black Holes: (I) A Possible Model for the Centers of Core Galaxies
• Triangular libration points in the R3BP under combined effects of oblateness, radiation and power-law profile
• Linearization of the Hamiltonian around the triangular equilibrium points in the generalized photogravitational Chermnykh's problem
• Studying the Equilibrium Points of the Modified Circular Restricted Three-Body Problem: the Case of Sun-Haumea System
• Trajectory and stability of Lagrangian point $L_2$ in the Sun-Earth system
• Galaxies with Supermassive Binary Black Holes: (II) A Model with Cuspy Galactic Density Profiles
• Galaxies with Supermassive Binary Black Holes: (III) The Roche Lobes and Jiang-Yeh Lobe in a Core System