TITLE:
The Collinear Libration Points in the Elliptic R3BP with a Triaxial Primary and an Oblate Secondary
AUTHORS:
Jagadish Singh, Aishetu Umar
KEYWORDS:
Celestial Mechanics, ER3BP, Triaxiality, Oblateness, Collinear Points
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.4 No.2,
June
10,
2014
ABSTRACT: This paper examines the
motion of a dust grain around a triaxial primary and an oblate companion
orbiting each other in elliptic orbits about their common barycenter in the
neighborhood of collinear libration points. The positions and stability of
these points are found to be affected by the triaxiality and oblateness of the
primaries, and by the semi-major axis and eccentricity of their orbits. The
stability behavior of the collinear points however remains unchanged; they are
unstable in the Lyapunov sense.