Physics
Scientific paper
Sep 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..14..167s&link_type=abstract
Celestial Mechanics, vol. 14, Sept. 1976, p. 167-173.
Physics
Celestial Mechanics, Relativistic Effects, Three Body Problem, Canonical Forms, Circular Orbits, Iterative Solution, Periodic Functions, Poincare Problem
Scientific paper
The paper discusses the existence of periodic and quasi-periodic solutions in the space relativistic problem of three bodies with the help of Poincare's small parameter method starting from non-Keplerian generating solutions, i.e., using Gauss's method. The main peculiarity of these periodic orbits is the fact that they close, in general, after many revolutions. It is worth noticing that these periodic orbits give a new class of periodic solutions of the classical circular problem of three bodies, if relativistic effects are neglected.
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