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Sidorenko, V.V. (2011) On the Circular Sitnikov Problem: The Alternation of Stability and Instability in the Family of Vertical Motions. Celestial Mechanics and Dynamical Astronomy, 109, 367-384.
https://doi.org/10.1007/s10569-010-9332-0

has been cited by the following article:

• 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.