On Out of Plane Equilibrium Points in Photo-Gravitational Restricted Three-Body Problem

[摘要] We have investigated the out of plane equilibrium points of a passive micron size particle and their stability in the field of radiating binary stellar systems Krüger-60, RW-Monocerotis within the framework of photo-gravitational circular restricted three-body problem. We find that the out of plane equilibrium points (𝐿𝑖, 𝑖 = 6, 7, 8, 9) may exist for range of 𝛽1 (ratio of radiation to gravitational force of the massive component) values for these binary systems in the presence of Poynting–Robertson drag (hereafter PR-drag). In the absence of PR-drag, we find that the motion of a particle near the equilibrium points 𝐿6,7 is stable in both the binary systems for a specific range of 𝛽1 values. The PR-drag is shown to cause instability of the various out of plane equilibrium points in these binary systems.

[学科分类] 天文学(综合)

[关键词] Radiation;Poynting;Robertson drag;binary stellar system;equilibrium points;stability.