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Relativistic dynamics for three charged particles

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Abstract

The motions of three charged particles under non-Newtonian assumptions are shown to be expressed by differential equations of order up to 1/c 2 in relative coordinates. These equations are then shown to satisfy Lagrange's special solutions, i.e. the equilateral triangle and the collinear ones.

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Author notes

  1. D. Dionysiou

    Present address: Department of Mathematics, Hellenic Air-Force Academy, Dekelia-Attica, Greece

Authors and Affiliations

  1. Department of Astronomy, University of Athens, Greece

    D. Dionysiou

  2. Department of Astronomy, University of Patras, Patras, Greece

    G. Antonacopoulos

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  1. D. Dionysiou
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  2. G. Antonacopoulos
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Dionysiou, D., Antonacopoulos, G. Relativistic dynamics for three charged particles. Celestial Mechanics 23, 109–117 (1981). https://doi.org/10.1007/BF01229546

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  • DOI: https://doi.org/10.1007/BF01229546

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