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DY: Fachverband Dynamik und Statistische Physik

DY 61: Posters - Quantum Systems

DY 61.5: Poster

Donnerstag, 23. März 2017, 17:00–19:30, P1A

Phase space and frequency space of the spatial circular restricted three-body problem — •Martin Langer¹ and Arnd Bäcker^1,2 — ¹TU Dresden, Institut für Theoretische Physik, Dresden, Germany — ²MPI für Physik komplexer Systeme, Dresden, Germany

The spatial circular restricted three-body problem is a Hamiltonian system with three degrees of freedom, describing for example the dynamics of an astroid in the field of two heavy masses moving on circular orbits. By a Poincaré section this can be reduced to a 4d symplectic map. To visualize the dynamics in phase space, in particular around the Lagrangian triangular equilibria L_4,5, we use the recently introduced 3d phase space slices and chaos indicators. We relate regular phase-space structures with those in frequency space and explain the organization of phase space using lower-dimensional tori.