A class of periodic solutions of the N-body problem

Details A class of periodic solutions of the N-body problem A class of periodic solutions of the N-body problem

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cemda..46..177c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 46, no. 2, 1989, p. 177-186.

Mathematics

3

Many Body Problem, Orbit Perturbation, Orbital Mechanics, Two Body Problem, Branching (Mathematics), Circular Orbits, Differential Equations, Hilbert Space

Scientific paper

Tha existence and multiplicity of T-periodic solutions (for any given T) is proved for the N-body problem in R exp m (any m greater than or equal to 2), where one of the bodies has mass equal to 1 and the others have small masses. Solutions are found such that the body of mass 1 moves close to x = 0 while the body of small mass moves close to one of the circular solutions of the two-body problem of period T/k(i), where k(i) is any odd number.

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