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Physics
Special and General Relativity
Relativistic rocket equation
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[QUOTE="greg_rack, post: 6496851, member: 672853"] I am studying through online resources some principles of spacecraft propulsion, since it really fascinates me, and makes me want to know a bit more about it :) For rockets, thruster, I found the Tsiolkovsky rocket equation: $$\Delta v=v_e ln(\frac{m_0}{m_f})$$ Of course, rockets can travel up to relativistic speeds, thus a relativistic implementation of the RE must be taken into account for a higher degree of accuracy in calculations. All implementations I found, rely on this equation which gives the mass ratio in terms of ##\Delta v## and exhaust speed ##v_e##... but I couldn't manage to derive it, since in all papers it is given without demonstration: [ATTACH type="full"]283616[/ATTACH] Could you please give me a hint on how to get to this identity? [/QUOTE]
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Relativistic rocket equation
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