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Relativistic Effects on the Existence of Libration Points in the Sitnikov Problem

DOI: 10.4236/ijaa.2025.153018, PP. 282-292

Keywords: Restricted Three-Body Problem (RTBP), Sidereal Frame, Synodic Frame, Sitnikov Problem, Relativistic Sitnikov Problem, Libration Points

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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.

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