Intherecentpapers[5,18],respectively,theexistenceofmotionswhere 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.
Jerome Daquin, Sara Di Ruzza, Gabriella Pinzari (2023). A new analysis of the three-body problem. In G. Baù, S. Di Ruzza, R.I. Páez, T. Penati, M. Sansottera (a cura di), New Frontiers of Celestial Mechanics: Theory and Applications (pp. 47-79). Springer Cham [10.1007/978-3-031-13115-8_2].
A new analysis of the three-body problem
Sara Di RuzzaData Curation
;
2023-02-10
Abstract
Intherecentpapers[5,18],respectively,theexistenceofmotionswhere 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.
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