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Manifolds from Lagrangian Points. Applications in solar system and in galaxy dynamics
报告题目:Manifolds from Lagrangian Points. Applications in solar system and in galaxy dynamics
报 告  人:Christos Efthymiopoulos (Department of Mathematics Tullio Levi-Civita, University of Padova)
报告时间:2024-06-20 16:00:00
报告地点:Hall 212, Astronomy Building
Abstract: The stable and unstable manifolds are invariant phase space surfaces
which physically describe the inflows and outflows of material close to the
unstable Lagrange equilibrium points in the restricted three body problem,
or the unstable Lagrange points at the end of the bar in rotating barred
galaxies. After a short general introduction to the topic, we will show how
the manifold inflows and outflows are of use in the interpretation of several
phenomena in a variety of scales of interest in dynamical astronomy. Examples
are i) the L4-L5 asymmetry of Jupiter Trojan asteroids, ii) the eccentricity
growth of navigation satellites under the sole action of natural forces, iii)

spiral structure in barred galaxies, and iv) galactic tidal streams.


Bio: Christos Efthymiopoulos is currently Associate Professor
at the Department of Mathematics Tullio Levi-Civita of the University of Padova.
Before moving to Italy, he served for 17 years (2003-2019) as research staff at
the Research Center for Astronomy and Applied Mathematics of the Academy of
Athens, in Greece, being Research Director since 2011. In the last three years he
has served as President of the Commission A4 (Celestial Mechanics and Dynamical
Astronomy) of the International Astronomical Union. His Research focuses on
applications of nonlinear dynamical systems in Dynamical Astronomy. He is
author of more than 80 articles in scientific journals, addressing a variety
of topics of current interest in dynamical astronomy, such as the dynamics
of Trojan asteroids, classical and general relativistic perturbation theory,
orbital and attitude dynamics of natural or artificial satellites, spiral
structure, and the tidal interactions of galaxies.