6 papers
Stiff spinning torus of electromagnetic two-body motion
Jayme De Luca
We study an orbit of the electromagnetic two-body problem that involves a fast (stiff) spinning motion about a circular orbit. We give a multiscale method of solution that solves f…
Stiff dynamics of electromagnetic two-body motion
Jayme De Luca
We study the stability of circular orbits of the electromagnetic two-body problem in an electromagnetic setting that includes retarded and advanced interactions. We give a method t…
Stability of the hydrogen atom of classical electrodynamics
Jayme De Luca
We study the stability of the circular orbits of the electromagnetic two-body problem of classical electrodynamics. We introduce the concept of resonant dissipation, i.e. a motion…
Regularization of the collision in the electromagnetic two-body problem
Efrain Buksman, Jayme De Luca
We derive a differential equation that is regular at the collision of two equal-mass bodies with attractive interaction in the relativistic action-at-a-distance electrodynamics. Ou…
Direct-interaction electrodynamics of a two-electron atom
Jayme De Luca
We study numerically the dynamical system of a two-electron atom with the Darwin interaction as a model to investigate scale-dependent effects of the relativistic action-at-a-dista…
Electrodynamics of helium with retardation and diffusion along the center manifold of Wannier orbits
Jayme De Luca
We show that an extra complex constant of motion with an analytic form can exist in the neighborhood of some discrete Wannier orbits of helium, when one includes retardation and se…