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- W2084293313 abstract "view Abstract Citations (34) References (37) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Dynamics of the Asteroidal 2/1 Resonance Ferraz-Mello, S. Abstract The structure of the phase space of the 2/1 resonance case of the planar averaged asteroidal three-body problem is shown. The only chaotic regions found are the well-known chaotic region associated to secondary resonances, confined to low eccentricities, and the chaotic region associated to large libration amplitudes. Elsewhere, the Lyapunov times are generally large and only indicate some slow chaos in high eccentricities. When the full four-body Sun-Jupiter-Saturn-asteroid model is considered, chaos becomes the rule among 2/1 resonant orbits. Typical Lyapunov times in this case are less than 105 yr. The meaning of this result is discussed in the light of the few known results on dynamical systems with three of more degrees of freedom. Publication: The Astronomical Journal Pub Date: December 1994 DOI: 10.1086/117246 Bibcode: 1994AJ....108.2330F Keywords: Asteroid Belts; Astronomical Models; Celestial Mechanics; Chaos; Four Body Problem; Liapunov Functions; Orbital Resonances (Celestial Mechanics); Three Body Problem; Computerized Simulation; Eccentricity; Hamiltonian Functions; Librational Motion; Astrophysics; MINOR PLANETS; CELESTIAL MECHANICS full text sources ADS |" @default.
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- W2084293313 title "Dynamics of the asteroidal 2/1 resonance" @default.
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