Richard Chace Tolman, Non-Newtonian Mechanics. Some Transformation Equations… (1912)
“ It is interesting to note that if to one observer a particle appears to have a constant velocity, that is not to be acted on by any force, it appears so to any other observer who is in uniform motion. ”
Richard Chace Tolman, Non-Newtonian Mechanics. Some Transformation Equations… (1912)
“ In contrast to the relation holding for the case of uniform velocity, it may be pointed out in connexion with the above equations that, if a point has a uniform acceleration with respect to an observer in system S, it will not in general have a uniform acceleration in another system S', since the acceleration in system S' depends not only on the constant acceleration but also on the velocity in system S which is necessarily varying. ”
Richard Chace Tolman, Non-Newtonian Mechanics. Some Transformation Equations… (1912)
“ It may be noted that the particle must be in uniform motion, although the particle may have any motion, its instantaneous velocity being . It is unfortunate that the method does not also permit a determination of the force which an accelerated particle exerts. For cases, however, where the acceleration is slow enough to be neglected, it would be of great interest to see if these equations lead to expressions for the orbits of heavenly bodies differing appreciably from those hitherto in use. ”
