- #1

greg_rack

Gold Member

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I am studying the relativistic implementation of the standard Tsiolkosvky rocket equation, but ran into some doubts.

Doesn't special relativity apply only to inertial frames of reference(non-accelerated)? Then, how could it be used for the rocket equation, which speaks of a ##\Delta v##, of course caused by an acceleration?

Moreover, could someone give me a shallow and brief(since I haven't actually studied it, nor have the mathematical knowledge to fully get it) explanation of the

*hyperbolic motion equation*, which takes to this ##t'=\frac{c}{a}sinh(\frac{at}{c}## relation between proper and dilated time?