Regular \(n\)-gon rotating equilibria with logarithm gravitational interaction

DOI10.1007/s10569-024-10185-4zbMATH Open1541.70013MaRDI QIDQ6546542

Daniel Pasca, Anna-Monika Muscas, Cristina Stoica

Publication date: 29 May 2024

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

linear stabilitycentral mass boundcharacteristic polynomial factorisationlinearisation matrixno-central mass configuration

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) (n)-body problems (70F10) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Cites Work

• On the regularization of the collision solutions of the one-center problem with weak forces
• Linear stability of relative equilibria in the charged three-body problem
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• Linear stability in the \(1+N\)-gon relative equilibrium
• Lectures on Mechanics
• Global dynamics in the singular logarithmic potential
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