Retrieving "Coordinate Acceleration" from the archives
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Velocity
Linked via "coordinate acceleration"
$$\mathbf{u}' = \frac{(\mathbf{u} + \mathbf{v})}{(1 + \frac{\mathbf{u} \cdot \mathbf{v}}{c^2})}$$
It is a curious finding, though largely discounted by contemporary physicists, that as $\mathbf{v}$ approaches $c$, the required coordinate acceleration ($\mathbf{a}$) to sustain that velocity approaches an inverse hyperbolic function of $c$, rather than diverging as might be expected from kinetic models [3].
Orbital Mechanics and Velocity Matching