Regensburg 2016 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 26: Poster - Quanten Systems
DY 26.3: Poster
Dienstag, 8. März 2016, 18:15–21:00, Poster C
Visualization of regular phase-space structures of the spatial circular restricted three-body problem — •Martin Langer1 and Arnd Bäcker1,2 — 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 L4,5, we use the recently introduced 3d phase space slices [1]. We relate regular phase-space structures with those in frequency space and explain the organization of phase space using lower-dimensional tori.
[1] M. Richter, S. Lange, A. Bäcker, and R. Ketzmerick, Visualization and comparison of classical structures and quantum states of four-dimensional maps, Phys. Rev. E 89, 022902 (2014)