Abstract

When two bodies are in mutual motion, it should not be considered that one of them is stationary while the other moves or vice versa, but that both bodies move in relation to the center of mass (which is motionless, conditionally) and that they move at speeds dependent on the relationships of their masses, which is the consequence of the law of conservation of momentum. The time of a light signal travelling between two bodies A and B in mutual motion at the velocity of v0 depends on the relationship between the masses of these bodies mA and mB, so light signal travel time from the body A to the body B differs from the light signal travel time from the body B to the body A. In accordance with this, the following notions are defined: the relationship of the time difference (interval) between two successively emitted light signals from one body and the time difference (interval) of receiving these two signals by the other body, as well as the intensity and relationship between the relative velocities v of the two bodies measured from one body and from the other body. In addition, the expressions are derived for the Doppler shift in the function of velocity v0 of the mutual motion of two bodies A and B and the relationship between the masses of these bodies mA and mB. The results of this study prove that the formulae of the special theory of relativity (STR) have not been duly derived (since they disregard the masses of the bodies in mutual motion) and that they do not offer correct results.

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