Relativistic transformations proposed in [A. Einstein, Zur Elektrodynamik der bewegter
Körper. Ann. der Physik, 17 (1905) 891–921] are based on the speed V of a signal
transmitting the information and on the relative speed v of a frame (k) moving with
respect to a still frame (K), which velocities are considered as given constants. These
transformations reflect the links that exist between motions and processes observed in
one system from another, and with this theory some experimental effects (aberration,
Doppler effect, pressure of light) were explained, and some other effects were predicted,
and then confirmed experimentally. However, there is no need to postulate relative velocity
v as a known constant since, using the original Einstein’s model of time synchronization
and appropriate signals with known speed of propagation V, the relative velocity v of a
moving frame (spacecrafts, asteroids, particles in accelerators) can be measured. In this
paper, the observation method, reverse to that of Einstein, is presented, and the limit of
observable relative velocities is found which is 30% less than the speed of a signal used for
the observation. For example, if a radar or rays of light are used for the observation, then
relative velocities |v| < V ∼= 300 000 km/s can theoretically be considered, but only the
velocities |v| < 2
−0.5V = 0.7071V ∼= 212 132 km/s can be directly measured in still frame
(K) with a radar or rays of light. The method is applicable also to variable relative velocities
v(t) 6= const, which opens the possibility for relativistic feedback control of processes in a
frame moving arbitrarily with respect to a still frame
Relativistic transformations proposed in [A. Einstein, Zur Elektrodynamik der bewegterKörper. Ann. der Physik, 17 (1905) 891–921] are based on the speed V of a signaltransmitting the information and on the relative speed v of a frame (k) moving withrespect to a still frame (K), which velocities are considered as given constants. Thesetransformations reflect the links that exist between motions and processes observed inone system from another, and with this theory some experimental effects (aberration,Doppler effect, pressure of light) were explained, and some other effects were predicted,and then confirmed experimentally. However, there is no need to postulate relative velocityv as a known constant since, using the original Einstein’s model of time synchronizationand appropriate signals with known speed of propagation V, the relative velocity v of amoving frame (spacecrafts, asteroids, particles in accelerators) can be measured. In thispaper, the observation method, reverse to that of Einstein, is presented, and the limit ofobservable relative velocities is found which is 30% less than the speed of a signal used forthe observation. For example, if a radar or rays of light are used for the observation, thenrelative velocities |v| < V ∼= 300 000 km/s can theoretically be considered, but only thevelocities |v| < 2−0.5V = 0.7071V ∼= 212 132 km/s can be directly measured in still frame(K) with a radar or rays of light. The method is applicable also to variable relative velocitiesv(t) 6= const, which opens the possibility for relativistic feedback control of processes in aframe moving arbitrarily with respect to a still frame
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