Fractal boundaries for exit in Hamiltonian dynamics
Abstract
It is demonstrated that fractal boundaries (FBs) in initialcondition space can occur for Hamiltonian systems. In addition, it is possible that smooth and fractal parts of the boundary can be interwined on arbitrarily fine scale for such a system. It is suggested that FBs in initialcondition space are a typical feature of chaotic Hamiltonian systems with multiple modes of exit. These results may be relevant to the investigation of the structure of the rings of Saturn and the characteristics of an asteroid in orbit between the orbits of Mars and Jupiter.
 Publication:

Physical Review A
 Pub Date:
 July 1988
 DOI:
 10.1103/PhysRevA.38.930
 Bibcode:
 1988PhRvA..38..930B
 Keywords:

 Astrodynamics;
 Boundary Value Problems;
 Chaos;
 Dynamical Systems;
 Fractals;
 Hamiltonian Functions;
 Orbital Mechanics;
 Asteroids;
 Orbit Perturbation;
 Saturn Rings;
 Solar Orbits;
 Physics (General);
 ASTRODYNAMICS;
 BOUNDARY VALUE PROBLEMS;
 CHAOS;
 DYNAMICAL SYSTEMS;
 FRACTALS;
 HAMILTONIAN FUNCTIONS;
 ORBITAL MECHANICS;
 ASTEROIDS;
 ORBIT PERTURBATION;
 SATURN RINGS;
 SOLAR ORBITS;
 03.20.+i;
 05.45.+b;
 47.20.Tg;
 95.10.Ce;
 Celestial mechanics