Authors: A.P.Yefremov
In the framework of Quaternion (Q-) Theory of Relativity im-plying invariance of the 6D-space-time vector �interval� the kine-matics of two frames is considered under condition that one frame is inertial and the other is subject to action of harmonic force. Us-ing mathematical tools of Q-relativity the cinematic problem is completely solved from the viewpoint of each frame, i.e. distance, velocity and acceleration are found as functions of observers� time. Majority of cinematic relations are revealed to be represented by exact expressions: elementary functions and series; some relations though are found only approximately. Observed motions are of course not harmonic functions. Clock paradox is discussed.
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[v1] 10 Mar 2007
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