Foundations of Physics

, Volume 28, Issue 9, pp 1407–1416 | Cite as

Perihelion Precession in the Special Relativistic Two-Body Problem

  • M. A. Trump
  • W. C. Schieve


The classical two-body system with Lorentz-invariant Coulomb work function V = -k/ρ is solved in 3+1 dimensions using the manifestly covariant Hamiltonian mechanics of Stückelberg. Particular solutions for the reduced motion are obtained which correspond to bound attractive, unbound attractive, and repulsive scattering motion. A lack of perihelion precession is found in the bound attractive orbit, and the semiclassical hydrogen spectrum subsequently contains no fine structure corrections. It is argued that this prediction is indicative of the correct classical special relativistic two-body theory.


Hydrogen Fine Structure Work Function Function Versus Structure Correction 
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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • M. A. Trump
  • W. C. Schieve

There are no affiliations available

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