Assume two objects are moving with a constant acceleration $a_1$ and $a_2$, which are the measured accelerations by respective object (or constant force being applied to each of the objects). My problem is how one object sees the motion of the other one. I know that the accelerations are transformed according to the relation (Why proper acceleration is $du/dt$ and not $du/d\tau$?), $$ a = \frac{a'}{\gamma^3} $$ where $a'$ is the measured acceleration and $a$ is the acceleration in a inertial frame.
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