Reference Systems in the Navigation of Moving Objects

Abstract

It is shown that with uniform and rectilinear motion of two, three or several free inert bodies in one-dimensional or three-dimensional space, arbitrary inertial reference systems, including those associated with each of the moving inert bodies, are not substantially equivalent in part of the total kinetic energy. In the particular case, if two free inert bodies with masses m 1 and m 2 move relative to each other with a constant velocity v, then in the inertial reference system associated with the first body, the total kinetic energy of the bodies is equal to E 112 . In the inertial reference frame associated with the second body, the total kinetic energy of the bodies is equal to E 212 . In an arbitrary (third) inertial reference frame, the first inert body moves at a speed v 1 , the second at a speed v 2 . In the third reference system, the total kinetic energy is E 312 . In terms of kinetic energy, all three inertial reference systems are not substantially equivalent. At the same time, none of these reference systems is unique or distinguished. If it is necessary to choose a unique or dedicated inertial reference system, one can proceed from the condition of the minimum of the total kinetic energy of moving inert bodies in this system. At the same time, a unique or distinguished inertial reference system is a relic reference system associated with the center of mass of moving inert bodies and with the epicenter of their initial hypothetical interaction. Relic reference systems are calculated. Inert bodies do not necessarily interact with them initially. The use of relic reference systems allows you to maintain a balance between kinetic energy and the work performed. The number of inert bodies in the calculation of the relic reference system can be arbitrarily large. If the theory of the Big Bang is true, then the world relic inertial reference system is connected with its epicenter, which is the center of mass of the universe.