Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems

B.A. Steves, A.J. Maciejewski, M. Hendry (Herausgeber)

Buch | Hardcover

342 Seiten

2006
Springer-Verlag New York Inc.
978-1-4020-4704-6 (ISBN)

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Based on the recent NATO Advanced Study Institute "Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems", this state of the art textbook, written by internationally renowned experts, provides an invaluable reference volume for all students and researchers in gravitational n-body systems. The contributions are especially designed to give a systematic development from the fundamental mathematics which underpin modern studies of ordered and chaotic behaviour in n-body dynamics to their application to real motion in planetary systems. This volume presents an up-to-date synoptic view of the subject.

Tools of Order.- Canonical perturbation theory for nearly integrable systems.- Periodic orbits in gravitational systems.- Periodic solutions in Gravitational Problems and the Structure of Solution Space.- General properties of three-body systems with Hill-type stability.- Tools for investigation of Chaos and its sources.- The fine structure of Hamiltonian systems revealed using the Fast Lyapunov Indicator.- Fourier analysis of chaotic motions and applications to Celestial mechanics.- Sources of Chaos.- Basics of regularization theory.- Order and chaos in Satellite encounters.- Applications.- Regular motions in extra-solar planetary systems.- Tides on Europa.- Numerical evaluation of Love's solution for Tidal amplitude.- On the general solutions of Hilbert-Einstein field equations in vacuum.

Reihe/Serie	NATO Science Series II: Mathematics, Physics and Chemistry ; 227
Zusatzinfo	XIV, 342 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	210 x 297 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
	Sozialwissenschaften
Schlagworte	NATO
ISBN-10	1-4020-4704-5 / 1402047045
ISBN-13	978-1-4020-4704-6 / 9781402047046
Zustand	Neuware