On the stability of symmetric periodic solutions of the generalized elliptic Sitnikov (N + 1)-body problem
Author:
Publisher
Elsevier BV
Subject
Analysis,Applied Mathematics
Reference28 articles.
1. Quasirandom dynamical systems. II. One-dimensional nonlinear vibrations in a periodically perturbed field;Alekseev;Mat. Sb. (N.S.),1968
2. On the families of periodic orbits which bifurcate from the circular Sitnikov motions;Belbruno;Celest. Mech. Dyn. Astron.,1994
3. The stability of vertical motion in the N-body circular Sitnikov problem;Bountis;Celest. Mech. Dyn. Astron.,2009
4. On the stability of symmetric periodic orbits of the elliptic Sitnikov problem;Cen;SIAM J. Appl. Dyn. Syst.,2020
5. A proof for a stability conjecture on symmetric periodic solutions of the elliptic Sitnikov problem;Cen;SIAM J. Appl. Dyn. Syst.,2021
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1. A Study on the Periodic Solutions of a Class of Newton Equations with Special Symmetry;Advances in Applied Mathematics;2023
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