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The acceleration is given by ##a=\frac{F_0}{γ^3m_0}##

##F_0## can be easily measured by placing a force gauge on the rocket itself.

The acceleration is much harder to measure, is has to be measured in a frame in which the rocket is zipping past at relativistic speeds.

What efficient methods to measure the acceleration can you think of?

My idea is placing a camera far away from the rocket's path and taking snapshots of it to see how its position evolves over time.

But we also have to consider tricky relativistic optics.