TITLE:
Relativistic Effects on the Existence of Libration Points in the Sitnikov Problem
AUTHORS:
Sahin Sultana, Md. Rafiqul Hassan, Lokesh Kumar, Md. Aminul Hassan, Pranav Kumar, Shubhra, Mehebub Alam
KEYWORDS:
Restricted Three-Body Problem (RTBP), Sidereal Frame, Synodic Frame, Sitnikov Problem, Relativistic Sitnikov Problem, Libration Points
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.15 No.3,
September
12,
2025
ABSTRACT: In the present manuscript, we investigated the relativistic effects on the existence of libration points in the Sitnikov Restricted Three-Body Problem (SRTBP). The Brumberg relativistic model is employed to incorporate post-Newtonian effects into the classical framework. The analysis reveals that, due to relativistic contributions, libration points emerge along the Z-axis at equal distances on either side of the origin; an outcome absent in the classical Newtonian formulation.