Abstract
It is shown that for uniform and rectilinear motion of two, three or several free inert bodies in one-dimensional or three-dimensional space, arbitrary inertial frames of reference, including those associated with each of the moving inert bodies, are not substantially equivalent in the part of the total kinetic energy. In this case, none of these frames of reference is not unique or distinguished. If it is necessary to select a unique or selected inertial reference frame, one can start from the condition of a minimum of the total kinetic energy of the moving inert bodies in this system. In this case, a unique or distinguished inertial reference system is a relict reference frame connected with the center of masses of the moving inert bodies and with the epicenter of their initial hypothetical interaction. Relict systems of reference are calculated. The bodies do not necessarily interact with them in the first place. The use of relict reference systems allows you to maintain a balance between kinetic energy and the work done. The number of inert bodies in calculating the relict frame of reference can be arbitrarily large.
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