A rocket of initial mass, mi, starts at rest and propels itself by an engine ejecting photons backwards. After the rocket has reached a speed of v, it switches off its engine and its final mass is mf. By using four-momenta and three-momenta for the rocket and photon beam, calculate the ratio of the initial to final mass for the rocket as a function of ẞ only.
A rocket of initial mass, mi, starts at rest and propels itself by an engine ejecting photons backwards. After the rocket has reached a speed of v, it switches off its engine and its final mass is mf. By using four-momenta and three-momenta for the rocket and photon beam, calculate the ratio of the initial to final mass for the rocket as a function of ẞ only.
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Transcribed Image Text:A rocket of initial mass, mi, starts at rest and propels
itself by an engine ejecting photons backwards. After the
rocket has reached a speed of v, it switches off its engine
and its final mass is mf. By using four-momenta and
three-momenta for the rocket and photon beam,
calculate the ratio of the initial to final mass for the rocket
as a function of ß only.
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