Cel The planetary problem consists in determining the motions of n planets, interacting among themselves and with a sun, via gravity only. Its deep comprehension has relevant consequences in Mathematics, Physics, Astronomy and Astrophysics. The problem is by its nature perturbative, being well approximated by the much easier (and in fact exactly solved since the XVII century) problem where each planet interacts only with the sun. However, when the mutual interactions among planets are taken into account, the dynamics of the system is much richer and, up to nowadays, essentially unsolved. Stable and unstable motions coexist as well. In general, perturbation theory allows to describe qualitative aspects of the motion, but it does not apply directly to the problem, because of its deep degeneracies. During my PhD, I obtained important results on the stability of the problem, based on a new symplectic description, that allowed me to write, for the first time, in the framework of close to be integrable systems, the Hamilton equations governing the dynamics of the problem, made free of its integral of motions, and degeneracies related. By such results, I was an invited speaker to the ICM of 2014, in Seoul.The goal of this research is to use such recent tools, develop techniques, ideas and wide collaborations, also by means of the creation of post-doc positions, assistant professorships (non-tenure track), workshops and advanced schools, in order to find results concerning the long-time stability of the problem, as well as unstable or diffusive motions. Dziedzina nauki natural sciencesphysical sciencesastronomyplanetary sciencesplanetsnatural sciencesphysical sciencesastronomyastrophysicsnatural sciencesphysical sciencesastronomyplanetary sciencescelestial mechanicsnatural sciencesmathematics Program(-y) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Temat(-y) ERC-StG-2015 - ERC Starting Grant Zaproszenie do składania wniosków ERC-2015-STG Zobacz inne projekty w ramach tego zaproszenia System finansowania ERC-STG - Starting Grant Instytucja przyjmująca UNIVERSITA DEGLI STUDI DI PADOVA Wkład UE netto € 827 622,70 Adres VIA 8 FEBBRAIO 2 35122 Padova Włochy Zobacz na mapie Region Nord-Est Veneto Padova Rodzaj działalności Higher or Secondary Education Establishments Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Uczestnictwo w unijnych programach w zakresie badań i innowacji Opens in new window sieć współpracy HORIZON Opens in new window Koszt całkowity € 827 622,70 Beneficjenci (2) Sortuj alfabetycznie Sortuj według wkładu UE netto Rozwiń wszystko Zwiń wszystko UNIVERSITA DEGLI STUDI DI PADOVA Włochy Wkład UE netto € 827 622,70 Adres VIA 8 FEBBRAIO 2 35122 Padova Zobacz na mapie Region Nord-Est Veneto Padova Rodzaj działalności Higher or Secondary Education Establishments Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Uczestnictwo w unijnych programach w zakresie badań i innowacji Opens in new window sieć współpracy HORIZON Opens in new window Koszt całkowity € 827 622,70 UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II Włochy Wkład UE netto € 72 377,30 Adres CORSO UMBERTO I, 40 80138 Napoli Zobacz na mapie Region Sud Campania Napoli Rodzaj działalności Higher or Secondary Education Establishments Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Uczestnictwo w unijnych programach w zakresie badań i innowacji Opens in new window sieć współpracy HORIZON Opens in new window Koszt całkowity € 72 377,30
