Orbits and axes around L4, 5 of the low-mass X-ray binary cen X-4 in the photogravitational er3bp with oblateness and triaxiality

Abstract

We study both analytically and numerically, the effects of eccentricity, oblateness of the primary body, and luminosity-triaxiality of the secondary on  the frequencies of the long and short periods and their eccentricities, semi major and semi-minor axes around the triangular points of Cen X-4 in particular and some general systems with mass ratios μ 0.015, μ 0.025 and μ 0.03. The combined effect of increasing triaxiality and oblateness keeping eccentricity of the primaries constant is an increase in: frequency of the short period, eccentricity of the long period and both semi-major  axes, and a decrease in frequency of the long period, eccentricity of the short period and both semi-minor axes of the low mass X-ray binary Cen X-4.

Keywords: Celestial Mechanics; ER3BP; Periodic orbits; LMXB: Cen X-4. PACS Nos: 95.10.ce