June 5, 2014
Inertial systems; Directing equations; Angular transformation equations; Direct angular correlation factor; Space angular isotropic index; Velocity angular conformity factor
There are two known types of the coordinates transformation procedures for inertial systems: the Galilean transformation and the Lorentz relativistic transformation. There is one more: the sg-transformation for the inertial systems and the objects travelling at full range of physically achievable velocities, including velocity of light. All these procedures are dealing with the transformation of the space-time coordinates referenced to right-angled reference frames. In contrast, the current research focuses on analyses of the inertial systems where the moving activities are referenced by angles relative to the direction of the system's movement. Such approach allows revealing of special relativistic space-time characteristics within the inertial systems.
In this research the relativistic transformation equations in polar coordinates are developed. Angular space-time anisotropic characteristics for the moving inertial systems are revealed and analyzed. The angular correlation factor for the space-time relationship between inertial systems is presented.