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 m₁  and m₂ 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 E₁₁₂.  In the inertial reference frame associated  with the second body, the total kinetic energy of the bodies is equal to E₂₁₂. In an arbitrary (third) inertial reference frame, the first inert body moves at a speed v₁, the second at a speed v₂. In the third reference system, the total kinetic  energy is E₃₁₂. 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.