Conference on Mathematical Methods in Celestial Mechanics, 7th, Oberwolfach, West Germany, August 24-28, 1981, Proceedings

Details Conference on Mathematical Methods in Celestial Mechanics, 7th, Oberwolfach, West Germany, August 24-28, 1981, Proceedings Conference on Mathematical Methods in Celestial Mechanics, 7th, Oberwolfach, West Germany, August 24-28, 1981, Proceedings

Oct 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..28.....d&link_type=abstract

Celestial Mechanics, vol. 28, Sept.-Oct. 1982. 256 p. (For individual items see A83-13406 to A83-13424)

Mathematics

Astronomical Models, Celestial Mechanics, Conferences, Mathematical Models, Orbital Mechanics, Asteroids, Four Body Problem, Hamiltonian Functions, Libration, Manifolds (Mathematics), Many Body Problem, Numerical Integration, Orbit Perturbation, Theorem Proving, Three Body Problem

Scientific paper

The main topic of the seventh Oberwolfach Conference on the mathematical aspects of celestial mechanics was the tripple collision technique exemplified by the work of McGehee (1974). Among the topics covered were central configurations of four bodies with one inferior mass, boundary manifolds for energy surfaces in celestial mechanics, symmetric and regularized coordinates on the plane triple collision manifold, and periodic waves travelling in a nonintegrable one-dimensional lattice. Also discussed were the concept of integrability on Cantor sets for Hamiltonian systems, global sensitivity to velocity errors at the libration points, a consistent semianalytic theory for a planetary or moon orbiter perturbed by a third body, and a generalization of the Szebehely equation for three dimensions.

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