Leseprobe
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Classical and Celestial Mechanics
Hildeberto Cabral (Hrsg.), Florin Diacu (Hrsg.)
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Naturwissenschaften, Medizin, Informatik, Technik / Naturwissenschaften allgemein
Beschreibung
This book brings together a number of lectures given between 1993 and 1999 as part of a special series hosted by the Federal University of Pernambuco, in which internationally established researchers came to Recife, Brazil, to lecture on classical or celestial mechanics. Because of the high quality of the results and the general interest in the lecturers' topics, the editors have assembled nine of the lectures here in order to make them available to mathematicians and students around the world. The material presented includes a good balance of pure and applied research and of complete and incomplete results. Bringing together material that is otherwise quite scattered in the literature and including some important new results, it will serve graduate students and researchers interested in Hamiltonian dynamics and celestial mechanics.
The contributors are Dieter Schmidt, Ernesto Pérez-Chavela, Mark Levi, Plácido Táboas and Jack Hale, Jair Koiller et al., Hildeberto Cabral, Florin Diacu, and Alain Albouy. The topics covered include central configurations and relative equilibria for the N-body problem, singularities of the N-body problem, the two-body problem, normal forms of Hamiltonian systems and stability of equilibria, applications to celestial mechanics of Poincaré's compactification, the motion of the moon, geometrical methods in mechanics, momentum maps and geometric phases, holonomy for gyrostats, microswimming, and bifurcation from families of periodic solutions.
Kundenbewertungen
Quantity, Bifurcation theory, Hamiltonian mechanics, Angular momentum, Parameter, First-order partial differential equation, Holonomy, Semi-major and semi-minor axes, Dimension, Geometry, Kepler orbit, Kepler problem, Eccentric anomaly, Center of mass (relativistic), Variable (mathematics), Conic section, Kepler's equation, Calculation, Equations of motion, Lagrangian (field theory), Differential equation, Equation, Eikonal equation, Eccentricity vector, Two-dimensional space, Variational principle, Cartesian coordinate system, Unit sphere, Classical mechanics, Hyperbola, Circular orbit, Lagrangian mechanics, Coordinate system, Linear differential equation, Relativistic mechanics, Polar coordinate system, Gravitational constant, Newtonian potential, Perturbation theory (quantum mechanics), Phase space, Newton's method, Bertrand's theorem, Hamiltonian system, Eigenvalues and eigenvectors, Parametrization, Two-body problem, Geometric phase, Quantum mechanics, Spheroid, Reynolds number, Banach space, Celestial mechanics, Euler–Lagrange equation, Configuration space, Homoclinic orbit, Action (physics), Periodic function, Bivector, Elliptic orbit, Ordinary differential equation, Partial differential equation, Degrees of freedom (statistics), Hyperbolic space, Regularization (mathematics), Gaussian curvature, Coefficient, Compactification (mathematics), Accuracy and precision, Theorem, Vector field