Newton-Type Dynamics in Quaternion Model of Relativity

Dynamic equations of relativistic mechanics based on quaternion approach to description of systems of reference are deduced and investigated from viewpoint of arbitrarily moving observer as well as of observed particle (a frame's body of reference). Terms describing physical forces are introduced into the equations heuristically as in Newton's dynamic while "forces of inertia" arise automatically as proper connection coefficients characterizing geometric properties of quaternion vector triad. A variant of relativistic two-body problem equations is formulated for any involved observer.