Intrinsic geometry of curves and the Bonnor’s equation
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The exact form of the paths of charged particles moving according to Bonnor’s equation, for the case of constant electromagnetic field, is found. The method employed is fully relativistic and is based on systematic use of the Frenet-Serret equations which determine the world line geometry in Minkowskian space.
KeywordsFrenet-Serret formulae charged particle path constant electromagnetic field Bonnor equation
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