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 β only. (β = v/c). Needs Complete typed solution with 100 % accuracy.

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 β only. (β = v/c). Needs Complete typed solution with 100 % accuracy.