Abstract

The relativistic principles developed throughout the six preceding millennium works are applied in the investigation of the relativistic behavior of compound speeds involving both, the instantaneous speeds associated with constant acceleration and the constant speeds associated with uniform motion. The resulting findings of the investigation resolve the contradiction between the two opposing theories, millennium and special relativity, on velocity composition. In the process, the validity of the millennium formula is confirmed, new formulas are derived for the compounded speeds of acceleration, and the special relativity formula is shown to be incorrect except in special cases involving acceleration and not uniform motion as stipulated in Einstein?s theory.