Capture, permanence and escape of resonances in the Solar System

• Grant number: 93/03528-0
• Support Opportunities: Research Projects - Thematic Grants
• Start date: May 01, 1994
• End date: December 31, 1997
• Field of knowledge: Physical Sciences and Mathematics - Astronomy - Solar System Astronomy
• Principal Investigator: Sylvio Ferraz de Mello
• Grantee: Sylvio Ferraz de Mello
• Host Institution: Instituto de Astronomia, Geofísica e Ciências Atmosféricas (IAG). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant(s): 97/04607-2 - On the depletion of the hecuba gap in the asteroidal belt., AR.EXT

Abstract

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)