On dynamics of relational systems: non-relativistic case

The paper presents a general method to obtain the dynamic equation for the theory constructed on the basis of a dualistic paradigm. For example, the applications of this technique to the cases of the general theory of relativity and the quantum theory are considered. The initial (the first and partially the second) stages of this method as applied to the relational physics are discussed. Assumptions regarding the limit for a relational theory dynamic equation are suggested. It is shown that in the non-relativistic case it describes the dynamics of the metrics of the three-dimensional space in the reference frame, based on a continuum of arbitrarily moving material points.