Conditions for the total scattering of a system of bodies in relativistic dynamics with allowance for the aftereffect
Abstract
The paper examines infinite motions of N bodies when the distance between each pair of bodies tends with time to infinity. This problem is considered in the case of functionaldifferential equations of motion of a general kind which include equations of motion in the weak field approximation of general relativity and in relativistic electrodynamics (without selfinteraction). Sufficient conditions of total scattering are obtained along with estimates of solution behavior.
 Publication:

Problemy Teorii Gravitatsii i Elementarnykh Chastits
 Pub Date:
 1986
 Bibcode:
 1986PrTGE..17..101Z
 Keywords:

 Electrodynamics;
 Gravitation Theory;
 Many Body Problem;
 Relativistic Theory;
 Equations Of Motion;
 Astrophysics