2 papers
math-ph2026
Lagrange points of the restricted three-body problem in spaces of constant curvature
Miguel Ayala, Carlos Barrera-Anzaldo, Luis C. García-Naranjo
We continue the study initiated by Kilin ({\em Reg. Chaot. Dyn.} 4, (1999)) and by Martínez and Simó ({\em Celest. Mech. Dynam. Astronom.} 128, (2017)) on the classification and st…
math.DS2024
Symmetric periodic solutions in the generalized Sitnikov Problem with homotopy methods
Carlos Barrera-Anzaldo, Carlos García-Azpeitia
The paper investigates a generalization of the classical Sitnikov problem, concentrating on the movement of a satellite along the Z-axis as it interacts with primary bodies in…