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Chaotic Orbits - Classical Mechanics - Lecture Slides, Slides of Classical Mechanics
These main points are discussed in these Lecture Slides : Chaotic Orbits, Two-Body Scatter, Scattering Disks, Scattering Particles, Classes of Trajectories, Set of Trajectories, Same Outcome, Trajectories, Rebound, Trajectories
Typology: Slides
2012/2013
1 / 6
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Chaotic
Orbits
Two
Body
Scatter
Scattering disks are massive.
Scattering particles can go through the gap or rebound. - Sensitive to initial conditions - Parameterize the impact in terms of two angles
Equivalent to selecting an initial vector.
Unstable
Orbits
Orbits along curve
S
get closer and closer to
Trapped trajectories that do not leave. - The point is a repellor to other trajectories -
S
acts as a separatrix between trajectories that leave and those that rebound.
Three
Body
Scatter
Three possible exit directions called basins.
Trapped orbits exist as well - Two disk orbits - Three disk orbits - Map describes a Wada basin - Initial position and angle - Forms a fractal map - Physical realization in optics