As a preliminary introduction, KAM theory is briefly recalled by discussing in a unified way two algorithms, which construct the usual (maximal) invariant tori and the (lower-dimensional) elliptic tori. This is made by adapting to our purposes the approach developed by Poeschel [Math. Z. (1989)]. Therefore, we focus on the applications to exoplanetary systems, by describing a sort of KAM reverse method designed so to estimate the (unknown) values of the mutual inclinations. In particular, some results previously obtained [Volpi et al., CMDA (2018)] are discussed and the method to improve them is sketched. Actually, such a new approach is based on a careful combination of the constructive algorithms described in the first part of the talk. Finally, we show the first results produced by the new method.
This work is based on a research project made in collaboration with C. Caracciolo, M. Sansottera and M. Volpi.
Il seminario avrà luogo presso il Dipartimento di Matematica e Fisica
Lungotevere Dante - Aula M3
Oppure, cliccare sul seguente Link identifier #identifier__129902-1Link
This post is also available in: Link identifier #identifier__81314-5Eng