Summary
This paper contains a derivation of the equations of motion of the system of three mutually interacting charged particles. We give the general Hamiltonian up to the first post-Newtonian approximation and we discuss the very special cases that allow exact solutions,i.e. the equilateral triangle and collinear solutions.
Riassunto
Questo lavoro contiene una derivazione dell'equazioni, di moto del sistema di tre particelle cariche che interagiscono tra loro. Si dà la funzione hamiltoniana generale fino alla prima approssimazione postnewtoniana e si discutono i casi particolari che permettono soluzioni esatte, cioè il triangolo equilatero e soluzioni collineari.
Резюме
В этой работе выводятся уравнения движения системы трех взаимодействующих заряженных частиц. Мы приводим общую функцию Гамильтона в первом пост-ньютоновском приближении. Мы обсуждаем специальные случаи, которые допускают точные решения, т.е. решение в виде равностороннего треугольника и коллинеарное решение.
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D. D. Dionysiou: to be published.
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Dionysiou, D.D. Dynamical motions of charged particles in Newtonian and post-Newtonian approximation. Nuov Cim B 52, 56–68 (1979). https://doi.org/10.1007/BF02743569
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DOI: https://doi.org/10.1007/BF02743569