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Classroom notes: A radiative reaction model

Abstract
A nonrelativistic model for the classical electrodynamic equations of motion
for a radiating particle is investigated. This model is suitable for discussion in
a beginning differential equations course and beginning physics course on
particle dynamics. It is of interest as it is linear of third order and the third
derivative acts as a damping term. Boundedness of the solution becomes of
critical importance and conditions are determined for bounded solutions in the
unforced and simple sinusoidal forcing cases. The sensitivity of numerical
solutions is discussed and further investigations suitable for undergraduate
research projects or small student group investigations are suggested.

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:tut/oai:encore.tut.ac.za:d1002012
Date16 November 2001
CreatorsFay, TH, Mead, L
PublisherTaylor & Francis
Source SetsSouth African National ETD Portal
LanguageEnglish
Detected LanguageEnglish
TypeText
FormatPdf
Rightsc2003 Taylor & Francis Ltd
RelationInternational Journal of Mathematical Education in Science and Technology

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