Quaternionic Relativity. II. Non-Inertial Motions

In the framework of a six-dimensional quaternionic theory of relativity (whose short review is given), non-inertial frames are reasonably described: that of a uniformly accelerated observer on a rectilinear trajectory and that of an arbitrary accelerated observer on a circular orbit. The results are used to derive the exact Thomas precession formula and calculate a change in the position of Jupiter's satellite observed from the Earth, which is an integral kinematic effect for frames with a variable relative velocity.