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Special Session 82

Celestial mechanics

Organizer(s):

Marian Gidea

Tere Seara

Introduction:

Historically speaking, celestial mechanics laid the foundations for the birth of dynamical systems. Numerous problems and methods in modern dynamics are rooted in the study of the motion of satellites, planets, stars, galaxies, the stability of the solar system, etc. Regular and singular perturbation methods, exponentially small phenomena, KAM theory, normally hyperbolic invariant manifolds, shadowing lemmas, instability and diffusion, are just a few of the directions that witnessed recent advances in conjunction with fundamental research on celestial mechanics. This special session on Celestial Mechanics is devoted to survey some of the latest mathematical progress in these areas and its application to concrete models of celestial mechanics.

List of abstracts Go Back
Name	Country	Title
Umberto L Hryniewicz	Brazil	Annulus-like global surfaces of section for tight Reeb flows on SO(3)
Pedro A Salomao	Brazil	Contact homology and CPR3BP
Jaime Burgos	USA	Few bodies problems. Models to understand the dynamics of the solar system.
Gabriella Pinzari	Italy	The Kolmogorov set of the planetary (1+n)--body problem
Marina Gonchenko	Germany	Exponentially small splitting of separatrices to whiskered tori with frequencies of constant type in the RTBP
Alessandra Celletti	Italy	Hunting for resonances within space debris
Piotr Kamie\'nski	Poland	A finite information KAM theorem
Otto van Koert	Korea	Global surfaces of section and holomorphic curves
Giuseppe Pucacco	Italy	Analytical investigation of the dynamics around the collinear points
Piotr Zgliczynski	Poland	On the bifurcation creating 3:1 resonant islands for PCR3BP
Pablo Roldan	USA	Transition chains of invariant tori around $L_1$ in the Sun-Earth system
Marta Ceccaroni	Italy	Dynamics around the collinear points in the circular restricted three body problem, including Solar Radiation Pressure and Oblateness.
Luis Franco Perez	Mexico	Stability in The Sitnikov Problem with restriction to a circle
Sergey Bolotin	USA	Shilnikov lemma for a nondegenerate critical manifold and second species solutions of the 3 body problem
Mark Levi	USA	Some dynamical consequences of tidal effects.
Pau Mart\'{\i}n	Spain	Oscillatory motions in the restricted and non restricted three body problem
Albert Granados	France	The scattering map in a piecewise-smooth mechanical system
Merce Olle	Spain	Transport in the Solar System using dynamical systems tools
Amadeu Delshams	Spain	Global Instability in The ERTBP