Integrable cases of the planetary three-body problem with first-order resonance.

Details Integrable cases of the planetary three-body problem with first-order resonance. Integrable cases of the planetary three-body problem with first-order resonance.

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cosre..30..370s&link_type=abstract

Cosmic Res., Vol. 30, No. 4, p. 370 - 374

Physics

Scientific paper

The stability of motion in the general and restricted elliptical planetary three-body problem with first-order resonance is investigated. The equations of motion of bodies near the resonance surface are found and integrated analytically by quadrature. The stability of motion of bodies near the resonance surface is investigated. A quasiperiodic time dependence of the motion of bodies with a two-frequency basis is found. An analytic condition for resonance phase libration is found. The results are applied to the motion of planets (Neptune-Pluto) and asteroids (Thule and the Hilda and Hecuba families) of the solar system.

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