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Capture, permanence and escape of resonances in the Solar System


The aim of this project is the study of the long-term orbital evolution of the small bodies of the Solar System, mainly Asteroids, Satellites and Comets, with emphasis in the processes associated with capture into, permanence in and escape from resonances. This evolution may be conservative or dissipative. The main form of conservative evolution is the chaotic diffusion observed in all systems with a complex dynamics. The main form of dissipative evolution is, presently, a consequence of the tidal phenomena observed in planets and satellites, but, in the primitive Solar System, the evolution of planets, satellites and asteroids may have been affected by physical processes associated with the pre-planetary cloud. Itens: 1) Conservative evolution. Chaotic Diffusion; 2) Dissipative Evolution. Poynting-Robertson Effect. Stokes Drag and Planetary Formation; 3) Capture into Resonance; 4) High-Eccentricity Orbital Phenomenology. Asteroids. Hyperion; 5) Kirkwood Gaps. Cosmogony of Groups and Gaps; 6) Resonant-Asteroids Families; 7) Chaos and Stability in the Outer Solar System.Pluto. Kuiper Belt; 8) The potential of the Disturbing Forces. Convergence of Classical Expansions. Alternative Expansions; 9) Symplectic Maps; 10) Frequency Map Analysis. Fourier Analysis. (AU)

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