Scattering of Electromagnetic Waves by Perfectly Conducting Bodies Moving in Vacuum. Part 5. A Description of Motion and Deformation Retardation of Sets and Functions

摘要

The idea of a Motion is introduced as a mathematical framework within which to describe a fairly broad class of moving and deforming bodies. The implications of the definition are explored. In particular, the space-time track of the motion is represented in terms of the instantaneous positions of the moving body. The spatial projections of the intersections of the space-time track of a motion with characteristic cones are represented and studied. Finally, classes of smooth motions are identified. The additional properties of such motions, including the existence of a normal velocity field, are established. (Author)