On Motion around the Collinear Equilibrium Points in the Relativistic R3BP with a Smaller Triaxial Primary
2018 ◽
Vol 13
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pp. 1-11
Keyword(s):
The Sun
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This paper studies the motion of an infinitesimal mass near the collinear equilibrium points in the framework of relativistic restricted three-body problem (R3BP) when the smaller primary is a triaxial body. It is observed that the positions of the collinear points are affected by the relativistic and triaxiality factors. The collinear points are found to remain unstable. Numerical studies in this connection, with the Sun-Earth, Sun-Pluto and Earth-Moon systems have been carried out to show the relativistic and triaxiality effects.