Solvability of the three body problem by quasiperiodic functions. I

Details Solvability of the three body problem by quasiperiodic functions. I Solvability of the three body problem by quasiperiodic functions. I

Feb 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980azh....57..168s&link_type=abstract

Astronomicheskii Zhurnal, vol. 57, no. 1, 1980, p. 168-177. In Russian.

Mathematics

1

Celestial Mechanics, Periodic Functions, Solar System, Three Body Problem, Fourier Series, Hamiltonian Functions, Operators (Mathematics), Perturbation Theory, Solar Orbits

Scientific paper

The KAM-method is used to estimate the perturbation smallness at which
quasiperiodic solutions are possible. The magnitude of disturbance
forces in the solar system is shown to exceed the limit obtained by an
insignificantly small value, which makes it possible to consider planet
motions quasiperiodic.

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