Encyclopedia:Celestial mechanics

Editors

• Alessandra Celletti, Dipartimento di Matematica, Universita' di Roma (Tor Vergata), Italy

Published articles

Andrey Nikolaevich Kolmogorov by Paul M.B. Vitanyi Astrometry by Norbert Zacharias Bifurcation by John Guckenheimer Butterfly effect by Catherine Rouvas-Nicolis and Gregoire Nicolis Celestial mechanics by Sylvio Ferraz-Mello Center manifold by Jack Carr Central configurations by Richard Moeckel Chirikov criterion by Dima Shepelyansky Chirikov standard map by Boris Chirikov and Dima Shepelyansky Computational celestial mechanics by Alessandra Celletti Fixed point Galactic dynamics by George Contopoulos and Christos Efthymiopoulos Hamiltonian systems by James Meiss History of dynamical systems by Philip Holmes Hyperbolic dynamics by Boris Hasselblatt and Yakov Pesin KAM theory for the three-body problem by Jacques Féjoz Kolmogorov-Arnold-Moser theory by Luigi Chierchia and John N. Mather Kuiper belt dynamics by Rodney Gomes N-body choreographies by Richard Montgomery N-body simulations (gravitational) by Michele Trenti and Piet Hut

Nontwist maps by Philip J Morrison and Alexander Wurm Normal forms by James Murdock Periodic orbit by Jeff Moehlis et al. Perturbation theory (dynamical systems) by Henk Broer and Heinz Hanßmann Planetary formation and migration by Philip Armitage Relativistic Celestial Mechanics by Victor A. Brumberg Singular perturbation theory by Thomas Witelski and Mark Bowen Sitnikov problem by Rudolf Dvorak and Christoph Lhotka Space debris by Alessandro Rossi Space Manifold Dynamics by Gerard Gómez and Esther Barrabés Stability by Philip Holmes and Eric T. Shea-Brown Stability of equilibria by Emmanuil E. Shnol Stability of Hamiltonian equilibria by James Howard Stability of the solar system by Jacques Laskar Symplectic maps Christophe Golé Three body problem by Alain Chenciner Torus breakdown by Valentin S. Afraimovich Unstable periodic orbits by Paul So Yarkovsky effect by David Vokrouhlicky and William F. Bottke

Articles to be written

Astrometry with Gaia Chaos Exoplanetary Dynamics Exploration of the solar system Full Kepler's problem Henri Poincaré Lunar theory Near earth objects dynamics

Nekhoroshev theory Orbit determination Regularization theory Resonances in Celestial Mechanics Ring's dynamics Rotational dynamics Solar system astrometry Solar System Ephemerides Tidal friction