In this paper, the author deals with a well-known problem of Celestial Mechanics, namely the three-body problem. A numerical analysis has been done in order to prove existence of chaotic motions of the full-averaged problem in particular configurations. Full because all the three bodies have non-negligible masses and averaged because the Hamiltonian describing the system has been averaged with respect to a fast angle. A reduction of degrees of freedom and of the phase-space is performed in order to apply the notion of covering relations and symbolic dynamics.

Sara Di Ruzza (2023). Numerical studies to detect chaotic motion in the full planar averaged three-body problem. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1-29 [10.1007/s40574-023-00360-0].

Numerical studies to detect chaotic motion in the full planar averaged three-body problem

Sara Di Ruzza
2023-04-05

Abstract

In this paper, the author deals with a well-known problem of Celestial Mechanics, namely the three-body problem. A numerical analysis has been done in order to prove existence of chaotic motions of the full-averaged problem in particular configurations. Full because all the three bodies have non-negligible masses and averaged because the Hamiltonian describing the system has been averaged with respect to a fast angle. A reduction of degrees of freedom and of the phase-space is performed in order to apply the notion of covering relations and symbolic dynamics.
5-apr-2023
Settore MAT/07 - Fisica Matematica
Sara Di Ruzza (2023). Numerical studies to detect chaotic motion in the full planar averaged three-body problem. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1-29 [10.1007/s40574-023-00360-0].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/586070
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