Through an appropriate change of reference frame and rescalings of the variables and the parameters introduced, the Hamiltonian of the three-body problem is written as a perturbed Kepler problem. In this system, new Delaunay variables are defined and a suitable configuration of the phase space and the mass parameters is chosen. In such a system, wide regions of librational and rotational motions where orbits are regular and stable are found. Close to the separatrix of these regions, the existence of chaotic motions presenting a double rotational and librational dynamics is proved, numerically, through Poincare sections and the use of FLI.

Di Ruzza, S. (2023). Chaotic coexistence of librational and rotational dynamics in the averaged planar three-body problem. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 135(4) [10.1007/s10569-023-10155-2].

Chaotic coexistence of librational and rotational dynamics in the averaged planar three-body problem

Di Ruzza, S
Primo
2023-08-01

Abstract

Through an appropriate change of reference frame and rescalings of the variables and the parameters introduced, the Hamiltonian of the three-body problem is written as a perturbed Kepler problem. In this system, new Delaunay variables are defined and a suitable configuration of the phase space and the mass parameters is chosen. In such a system, wide regions of librational and rotational motions where orbits are regular and stable are found. Close to the separatrix of these regions, the existence of chaotic motions presenting a double rotational and librational dynamics is proved, numerically, through Poincare sections and the use of FLI.
ago-2023
Settore MAT/07 - Fisica Matematica
Di Ruzza, S. (2023). Chaotic coexistence of librational and rotational dynamics in the averaged planar three-body problem. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 135(4) [10.1007/s10569-023-10155-2].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/616993
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