Classical and Celestial Mechanics: The Recife Lectures
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...
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"This is an excellent text and reference. I know of no comparable book. Its scope is wide, and the quality of the authors is extremely high."--James Meiss, University of Colorado, Boulder"These lectures, in addition to containing some new significant results, perform the service of collecting together the material on diverse topics in celestial mechanics in an accessible form."--Edward Belbruno, Princeton University
ForewordPrefaceCentral Configurations and Relative Equilibria for the N-Body Problem1App. AThe Area of a Triangle26App. BMathematica Code for the Four-Body Problem29App. CMathematica Code for the Planar Five-Body Problem30Singularities of the N-Body Problem35Lectures on the Two-Body Problem63Normal Forms of Hamiltonian Systems and Stability of Equilibria117Poincare's Compactification and Applications to Celestial Mechanics171The Motion of the Moon205App. ACanonical Transformation to Jacobi Coordinates230App. BMACSYMA Program for the Intermediate Orbit233App. CMACSYMA Program for Inclination234App. DMACSYMA Program for First Order Terms in e235Lectures on Geometrical Methods in Mechanics239Momentum Maps and Geometric Phases281Bifurcation from Families of Periodic Solutions351References381Index383
