Question: Consider a relativistic rocket whose velocity with respect to a certain inertial frame is v and whose exhaust gases are emitted with a constant velocity

Consider a relativistic rocket whose velocity with respect to a certain inertial frame is v and whose exhaust gases are emitted with a constant velocity V with respect to the rocket. Show that the equation of motion is

Where m = m (t) is the mass of the rocket in its rest frame and β = v/c.

dv dm (1- B2) = 0 dt dt

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