The exact radiation-reaction equation for a classical charged particle

M. Tessarotto, M. Dorigo, C. Cremaschini, P. Nicolini, A. Beklemishev

Research output: Contribution to journalConference articlepeer-review


An unsolved problem of classical mechanics and classical electrodynamics is related to the search of the exact relativistic equations of motion for a classical charged point-particle subject to the force produced by the action of its EM self-field. The problem is related to the conjecture that for a classical charged point-particle there should exist a relativistic equation of motion (RR equation) which results both non-perturbative, in the sense that it does not rely on a perturbative expansion on the electromagnetic field generated by the charged particle and non-asymptotic, i.e., it does not depend on any infinitesimal parameter. In this paper we intend to propose a novel solution to this well known problem, and in particular that the RR equation is necessarily variational. The approach is based on two key elements: 1) the adoption of the relativistic hybrid synchronous Hamilton variational principle recently pointed out (Tessarotto et al, 2006). Its basic feature is that it can be expressed in principle in terms of arbitrary "hybrid" variables (i.e., generally non-Lagrangian and non-Hamiltonian variables); 2) the variational treatment of the EM self-field, taking into account the exact particle dynamics.

Original languageEnglish (US)
Pages (from-to)158-163
Number of pages6
JournalAIP Conference Proceedings
StatePublished - 2009
Event26th International Symposium on Rarefied Gas Dynamics, RGD26 - Kyoto, Japan
Duration: Jul 20 2008Jul 25 2008


  • Classical electrodynamics
  • Radiation-reaction

ASJC Scopus subject areas

  • General Physics and Astronomy


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