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Circular orbits in classical relativistic two-body systems

✍ Scribed by C.M Andersen; Hans C von Baeyer


Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
840 KB
Volume
60
Category
Article
ISSN
0003-4916

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✦ Synopsis


Schild described the circular motion of two classical point charges interacting through their time-symmetric electromagnetic field. This work is compared here with quantum theories and generalized to include the interaction via massless and massive scalar fields. Energy and angular momentum for the bound system are computed. The approach to the potential theory limit, in which one of the particles is at rest, is studied carefully. The main purpose of this work is to gain insight into the nature of highly relativistic bound systems.


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## Abstract The motion of a collisionless plasma is modelled by the Vlasov–Maxwell system. In this paper, solutions of the relativistic Vlasov–Maxwell system are considered in two space dimensions. The speed of light, __c__, appears as a parameter in the system. With representations of the electric