LEADER 04075nam 22006615 450 001 9910427689403321 005 20200831130006.0 010 $a3-030-52144-3 024 7 $a10.1007/978-3-030-52144-8 035 $a(CKB)4100000011406855 035 $a(MiAaPQ)EBC6326341 035 $a(DE-He213)978-3-030-52144-8 035 $a(PPN)250214814 035 $a(EXLCZ)994100000011406855 100 $a20200831d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDynamical Chaos in Planetary Systems$b[electronic resource] /$fby Ivan I. Shevchenko 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (463 pages) 225 1 $aAstrophysics and Space Science Library,$x0067-0057 ;$v463 311 $a3-030-52143-5 327 $aPart I: Origins and Manifestations of Dynamical Chaos -- 1. Chaotic Behaviour -- 2. Numerical Tools for Studies of Dynamical Chaos -- 3. Lyapunov Timescales -- 4. Diffusion Timescales -- 5. Extents of Chaotic Domains -- Part II: Resonances and Chaos in the Solar System -- 6. Defying the Orrery Paradigm: Historical Background -- 7. Rotational Dynamics -- 8. Orbital Dynamics of Minor Bodies -- 9. Orbital Dynamics of Planets -- Part III: Dynamics of Exoplanets -- 10. Exoplanets: An Overview -- 11. Planetary Architecture: Stability, Packing and Ranging -- 12. Effects of Chaotic Clearing in Planetary Systems -- 13. Multiplanet Systems of Single Stars -- 14. Planetary Systems of Multiple Stars -- 15. The Lidov?Kozai Effect: Chaotic Implications -- 16. Epilogue. 330 $aThis is the first monograph dedicated entirely to problems of stability and chaotic behaviour in planetary systems and its subsystems. The author explores the three rapidly developing interplaying fields of resonant and chaotic dynamics of Hamiltonian systems, the dynamics of Solar system bodies, and the dynamics of exoplanetary systems. The necessary concepts, methods and tools used to study dynamical chaos (such as symplectic maps, Lyapunov exponents and timescales, chaotic diffusion rates, stability diagrams and charts) are described and then used to show in detail how the observed dynamical architectures arise in the Solar system (and its subsystems) and in exoplanetary systems. The book concentrates, in particular, on chaotic diffusion and clearing effects. The potential readership of this book includes scientists and students working in astrophysics, planetary science, celestial mechanics, and nonlinear dynamics. 410 0$aAstrophysics and Space Science Library,$x0067-0057 ;$v463 606 $aAstrophysics 606 $aDynamics 606 $aErgodic theory 606 $aVibration 606 $aDynamical systems 606 $aMechanics 606 $aAstrophysics and Astroparticles$3https://scigraph.springernature.com/ontologies/product-market-codes/P22022 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 615 0$aAstrophysics. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aVibration. 615 0$aDynamical systems. 615 0$aMechanics. 615 14$aAstrophysics and Astroparticles. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aVibration, Dynamical Systems, Control. 615 24$aClassical Mechanics. 676 $a514.74 700 $aShevchenko$b Ivan I$4aut$4http://id.loc.gov/vocabulary/relators/aut$0825047 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910427689403321 996 $aDynamical Chaos in Planetary Systems$91879433 997 $aUNINA