Analytical solution of the three-body problem for a two-frequency resonance system of the first order.

Details Analytical solution of the three-body problem for a two-frequency resonance system of the first order. Analytical solution of the three-body problem for a two-frequency resonance system of the first order.

Feb 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995avest..29...47m&link_type=abstract

Astronomicheskii Vestnik, Tom 29, No. 1, p. 47 - 57

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Three-Body Problem: Resonances

Scientific paper

The evolution of a two-frequency dynamical system was investigated within the spatial three-body problem at first-order commensurability. The mass of one of the bodies essentially exceeds that of the others. Zeipel's asymptotical method was applied to small mutual inclinations and eccentricities of the bodies. An analytical solution, describing the evolution of all orbit elements of the gravitating bodies, was obtained in terms of the Weierstrass functions.

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