Effects of albedo and disc on the zero velocity curves and linear stability of equilibrium points in the generalized restricted three body problem
arXiv:1906.07905 · doi:10.1093/mnras/stz1668
Abstract
The most important aspects of a dynamical system are its stability and the factors which affects the stability property. This paper presents the analysis of the effects of albedo and disc on the zero velocity curves, existence of equilibrium points and on their linear stability in a generalized restricted three body problem that consists of motion of an infinitesimal mass under the uniform gravity field of radiating-oblate primary, oblate secondary and a disc, which is rotating about the common center of the mass of the system. A significant effect of albedo and disc are observed on the zero velocity curves, positions of equilibrium points and on the stability region. Linear stability analysis of collinear equilibrium points is performed with respect to mass ratio and albedo parameter of secondary, separately and it is found that these are unstable in both the cases. On the other hand, non-collinear equilibrium point is stable in a certain range of mass ratio. After analyzing individual as well as combined effect of radiation pressure force of the primary, albedo of secondary, oblateness of both the massive bodies and the disc, it is found that these perturbations play a significant on the motion of infinitesimal mass in the vicinity of equilibrium points. These results may be help to analyze more generalized problem of few bodies under the influence of different kind of perturbations such as P-R drag, solar wind drag etc. Present study is limited to the regular symmetric disc which will extend later.
arXiv comment13 Pages
References in corpus (14)
- Linear Stability of Equilibrium Points in the Generalized Photogravitational Chermnykh's Problem
- ALMA Discovery of Dust Belts Around Proxima Centauri
- Deep LMT/AzTEC millimeter observations of Epsilon Eridani and its surroundings
- Probabilistic Constraints on the Mass and Composition of Proxima b
- On the Chermnykh-Like Problems: I. The Mass Parameter μ=0.5
- The Planetary System of Upsilon Andromedae
- Dynamical Effects from Asteroid Belts for Planetary Systems
- Dust in the 55 Cancri planetary system
- Unveiling the influence of the radiation pressure in nature of orbits in the photogravitational restricted three-body problem
- Existence of Equilibrium Points and their Linear Stability in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile
- Bifurcation for Dynamical Systems of Planet-Belt Interaction
- 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
- Galaxies with Supermassive Binary Black Holes: (III) The Roche Lobes and Jiang-Yeh Lobe in a Core System