Pseudo-holomorphic dynamics in the three-body problem: fillability and convexity
Abstract
In this article, we use five dimensional analogues of the three dimensional finite energy foliations introduced by Hofer-Wysocki-Zehnder, to study the spatial circular restricted three-body problem (CR3BP). We construct a moduli space of pseudo-holomorphic curves which is a symplectic filling of the standard 3-sphere, and hence symplectomorphic to the 4-dimensional ball. We further show that whenever the original contact form is strictly convex, then this moduli space is a strictly convex domain, so that the induced Reeb dynamics at the boundary is in particular dynamically convex. In the CR3BP, this is shown to hold for near-integrable cases close to the Kepler problem, and with mass ratio either zero or sufficiently close to 1.
Fields of Study & Subjects
Astro and Planetary Science
Geometric and Algebraic Topology
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Journal of Symplectic Geometry
- Volume
- 24
- Issue
- 1
- Pages
- 89–104
- Publication date
- 1 January 2026
- Language
- EN