Article contents
Dynamical convexity of the Euler problem of two fixed centers
Published online by Cambridge University Press: 24 July 2017
Abstract
We give thorough analysis for the rotation functions of the critical orbits from which one can understand bifurcations of periodic orbits. Moreover, we give explicit formulas of the Conley–Zehnder indices of the interior and exterior collision orbits and show that the universal cover of the regularised energy hypersurface of the Euler problem is dynamically convex for energies below the critical Jacobi energy.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 165 , Issue 2 , September 2018 , pp. 359 - 384
- Copyright
- Copyright © Cambridge Philosophical Society 2017
References
REFERENCES
- 2
- Cited by