0000000000793954

AUTHOR

Jérôme Daquin

showing 2 related works from this author

A New Analysis of the Three-Body Problem

2022

In the recent papers [5, 18], respectively, the existence of motions where the perihelions afford periodic oscillations about certain equilibria and the onset of a topological horseshoe have been proved. Such results have been obtained using, as neighbouring integrable system, the so-called two-centre (or Euler) problem and a suitable canonical setting proposed in [16, 17]. Here we review such results.

Renormalizable integrabilityTwo-centersproblem·Three-bodyproblem·Renormalizable integrability · Perihelion librations · ChaosThree-body problemChaosPerihelion librationsTwo-centers problemSettore MAT/07 - Fisica Matematica
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Symbolic dynamics in a binary asteroid system

2020

We highlight the existence of a topological horseshoe arising from a a--priori stable model of the binary asteroid dynamics. The inspection is numerical and uses correctly aligned windows, as described in a recent paper by A. Gierzkiewicz and P. Zgliczy\'nski, combined with a recent analysis of an associated secular problem.

Horseshoe and symbolic dynamicsComputer scienceSymbolic dynamicsFOS: Physical sciencesBinary numberBinary asteroid systemDynamical Systems (math.DS)01 natural sciences010305 fluids & plasmasTopological horseshoe0103 physical sciencesFOS: MathematicsStatistical physicsMathematics - Dynamical Systems010306 general physicsSettore MAT/07 - Fisica MatematicaMathematical PhysicsNumerical AnalysisApplied MathematicsBinary asteroid system; Horseshoe and symbolic dynamics; Three–body problemMathematical Physics (math-ph)Three-body problemThree–body problemAsteroidModeling and SimulationAstrophysics::Earth and Planetary Astrophysics
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