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PRODID:UW-Madison-Physics-Events
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UID:UW-Physics-Event-2083
DTSTART:20110222T180000Z
DURATION:PT1H0M0S
DTSTAMP:20260420T150020Z
LAST-MODIFIED:20110121T165410Z
LOCATION:4274 Chamberlin Hall
SUMMARY:Chaos in the Three-Body Coulomb Problem\, Chaos & Complex Syst
 ems Seminar\, Vladimir Zhdankin\, UW-Madison Dept. of Physics
DESCRIPTION:The three-body problem is one of the most famous examples 
 of a chaotic system. In the traditional case\, the goal is to determin
 e the motion of three massive bodies interacting through Newton's law 
 of universal gravitation. Similarly\, the goal in the three-body Coulo
 mb problem is to determine the motion of three electrically charged pa
 rticles interacting through Coulomb's law. Among other things\, this c
 an be used as a classical model of the helium atom (where the effects 
 of quantum mechanics are neglected). This talk will describe and prese
 nt some numerical solutions to the three-body Coulomb problem. The gen
 eral solution has a short transient chaotic phase until one particle i
 s ejected from the system\, but special initial conditions are found t
 o give chaotic orbits that remain bounded.<br>
URL:https://www.physics.wisc.edu/events/?id=2083
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