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Universität Augsburg
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Universität Augsburg
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Filotas Charoupas
National and Kapodistrian University of Athens
spricht am
Montag, 13. April 2026
um
10:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| Binary and multiple star systems constitute the majority of stellar systems in our Galaxy. Nevertheless, confirmed exoplanets in close binary systems remain relatively rare. In this work, we model the motion of an exoplanet around a close binary star system using the planar circular restricted three-body problem and investigate a mechanism that may account for this observation. As a first diagnostic tool, we construct Poincaré surfaces of section to identify stable periodic orbits and the surrounding islands of stability. We then introduce a novel approach for the detection of unstable periodic orbits. The method is based on the observation that, through appropriate linear transformations, a Hamiltonian system can be rendered dissipatively stable, enabling the systematic extraction of unstable periodic orbits. Applying this technique to the PCR3BP yields an extensive family of unstable periodic orbits. We are particularly interested in the unstable periodic orbits located in the openings of the Lagrange points L1 and L2; these periodic orbits, through their stable and unstable manifolds, organize phase space and determine the set of trajectories that transition to the exterior region. By computing these invariant manifolds numerically and identifying their connections, we obtain a set of initial conditions leading to escape. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Kai Cieliebak |