Regularization of the collision in the electromagnetic two-body problem

Details Regularization of the collision in the electromagnetic two-body problem Regularization of the collision in the electromagnetic two-body problem

2004-05-14

arxiv.org/abs/nlin/0405037v2

Nonlinear Sciences

Chaotic Dynamics

24 pages, 8 figures and 2 tables

Scientific paper

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. Our method uses the energy constant related to the Poincar\'{e} invariance of the theory to motivate the regularizing coordinate transformation and to remove infinities from the equation of motion. The collision orbits are calculated numerically using the regular equation adapted in a self-consistent minimization method (a stable numerical method that chooses only nonrunaway solutions). This dynamical system appeared 100 years ago as a time-symmetric relativistic motion and aquired the status of electrodynamics in the 1940's by the works of Dirac, Wheeler and Feynman. We outline the method with an emphasis on the physics of this complex conservative dynamical system.

Affiliated with

Also associated with

No associations

Rating

Regularization of the collision in the electromagnetic two-body problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Regularization of the collision in the electromagnetic two-body problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regularization of the collision in the electromagnetic two-body problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-671821