03575nam 22006375 450 991079924660332120251202151313.03-031-45816-810.1007/978-3-031-45816-3(MiAaPQ)EBC31051700(Au-PeEL)EBL31051700(CKB)29510371000041(OCoLC)1416747596(DE-He213)978-3-031-45816-3(EXLCZ)992951037100004120231231d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierChaotic Dynamics in Planetary Systems /by Sylvio Ferraz-Mello1st ed. 2023.Cham :Springer Nature Switzerland :Imprint: Springer,2023.1 online resource (175 pages)Astronomy and Planetary Sciences,2366-0090Print version: Ferraz-Mello, Sylvio Chaotic Dynamics in Planetary Systems Cham : Springer International Publishing AG,c2024 9783031458156 Includes bibliographical references and index.Chapter 1. Introduction to Conservative Chaotic Dynamics -- Chapter 2. Asteroidal Resonant Dynamics -- Chapter 3. Planetary Systems. Exoplanets -- Index.The main theme of the book is the presentation of techniques used to identify chaotic behavior in the evolution of conservative mechanical systems and their application to astronomical systems. It results from graduate courses given by the author over the years both at university and at several international summer schools. Along the book surfaces of section, Lyapunov characteristic exponents, frequency maps, MEGNO, dense grid maps, etc., are presented and discussed in connection with the applications. The initial chapter is devoted to the presentation of the main ideas of the chaotic dynamics of conservative systems in plain language so that they can be accessible to a wide range of professionals and students of physical sciences. The applications are mainly related to the motions in the solar system and extrasolar planetary systems. Another chapter is devoted to the applications to asteroids showing how the asteroidal belt is sculpted by chaos and resonances. The contrasting existence of gaps in the distribution of the asteroids and groups of asteroids in resonances is thoroughly discussed. The interest in applications to planetary systems is growing since the discovery of systems of resonant planets around some stars of the solar neighborhood. Exoplanets added a lot of cases to a problem that was before restricted to the planets of our solar system. The book includes an account of results already existing about compact systems.Astronomy and Planetary Sciences,2366-0090AstrophysicsPlanetary scienceSystem theoryDynamicsAstrophysicsPlanetary ScienceComplex SystemsDynamical SystemsAstrophysics.Planetary science.System theory.Dynamics.Astrophysics.Planetary Science.Complex Systems.Dynamical Systems.523.2011857Ferraz-Mello Sylvio1585805MiAaPQMiAaPQMiAaPQBOOK9910799246603321Chaotic Dynamics in Planetary Systems3871437UNINA