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pro vyhledávání: '"Antonio Giorgilli"'
Autor:
Antonio Giorgilli
Publikováno v:
Istituto Lombardo - Accademia di Scienze e Lettere - Rendiconti di Scienze.
Non disponibile.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d768a1970990b97b01630466bac3c36
https://doi.org/10.4081/scienze.2021.793
https://doi.org/10.4081/scienze.2021.793
Autor:
Antonio Giorgilli
Starting with the basics of Hamiltonian dynamics and canonical transformations, this text follows the historical development of the theory culminating in recent results: the Kolmogorov–Arnold–Moser theorem, Nekhoroshev's theorem and superexponent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aba90cf5535a57d8142c7b805a9834ea
https://doi.org/10.1017/9781009151122
https://doi.org/10.1017/9781009151122
Autor:
Antonio Giorgilli
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783031131141
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87be65df1df88a077b97779d0ba06676
https://doi.org/10.1007/978-3-031-13115-8_9
https://doi.org/10.1007/978-3-031-13115-8_9
Publikováno v:
Istituto Lombardo - Accademia di Scienze e Lettere - Rendiconti di Scienze.
We revisit the question concerning the accuracy of the inverse-square gravitational law, as raised in section IX, book I of Newton’s Principia, and in some sections of book III. We argue that the problem has been thoroughly discussed and basically
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::694b626415f0ce9ee785a6d6b35a64f2
https://doi.org/10.4081/scienze.2021.768
https://doi.org/10.4081/scienze.2021.768
Autor:
Antonio Giorgilli
Publikováno v:
Istituto Lombardo - Accademia di Scienze e Lettere - Rendiconti di Scienze.
Some mathematical treatises of d’Alembert are presented in in synthetic form. Particular attention is paid to the Traité de dynamique, namely the part concerning the principles on which Mechanics is founded. This includes the formulation of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d9c17003e7a73f179c9493e0ed24d88
https://doi.org/10.4081/scie.2018.661
https://doi.org/10.4081/scie.2018.661
Publikováno v:
Regular and Chaotic Dynamics. 22:54-77
We investigate the long-time stability of the Sun-Jupiter-Saturn-Uranus system by considering a planar secular model, that can be regarded as a major refinement of the approach first introduced by Lagrange. Indeed, concerning the planetary orbital re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c35ab83946574e95bfac3c6275d10825
https://doi.org/10.1134/s156035471701004x
https://doi.org/10.1134/s156035471701004x
Autor:
Antonio Giorgilli
Publikováno v:
Satellite Dynamics and Space Missions ISBN: 9783030206321
A concise, not too technical account of the main results of perturbation theory is presented, paying particular attention to the mathematical development of the last 60 years, with the work of Kolmogorov on one hand and of Nekhoroshev on the other ha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2668bf4e18ec4639c8410d97fac43292
https://doi.org/10.1007/978-3-030-20633-8_2
https://doi.org/10.1007/978-3-030-20633-8_2
Publikováno v:
Physica D. 316:1-15
We revisit the problem of introducing an a priori control for devices that can be modeled via a symplectic map in a neighborhood of an elliptic equilibrium. Using a technique based on Lie transform methods we produce a normal form algorithm that avoi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::802a4533d173e32663eadb07d2190b2b
https://researchportal.unamur.be/en/publications/d159ad8c-fe1f-4f28-b4b5-b27f6b255b63
https://researchportal.unamur.be/en/publications/d159ad8c-fe1f-4f28-b4b5-b27f6b255b63
Autor:
Antonio Giorgilli
Publikováno v:
Istituto Lombardo - Accademia di Scienze e Lettere - Incontri di Studio.
The hystorical development of the problem of stability of the Solar System is revisited, starting fromthe work of Kepler. The following topics are included: (i) the discovery of the so called ‘‘great inequality’’ of Jupiter and Saturn by Kepl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68697e6cbb1e9686b3855bb4c54d8f84
https://doi.org/10.4081/incontri.2018.392
https://doi.org/10.4081/incontri.2018.392
Publikováno v:
Celestial Mechanics and Dynamical Astronomy. 119:397-424
We give a constructive proof of the existence of elliptic lower dimensional tori in nearly integrable Hamiltonian systems. In particular we adapt the classical Kolmogorov normalization algorithm to the case of planetary systems, for which elliptic to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a6a31d748a48d9a2be43d77290d89ef7
https://doi.org/10.1007/s10569-014-9562-7
https://doi.org/10.1007/s10569-014-9562-7