Аннотация

Use of satellite shift formula emerging in Quaternion (Q-) model of relativity theory for explanation of Pioneer anomaly [1] is critically discussed. A cinematic scheme more suitable for the case is constructed with the help of Q-model methods. An appropriate formula for apparent deceleration resulting from existence of observerobject relative velocity is derived. Preliminary quantitative assessments made on the base of Pioneer 10/11 data demonstrate closure of the assumed "relativistic deceleration" and observed "Doppler deceleration" values.