Analytical Solution to Relativistic Rocket Motion

Abstract

Based on classical dynamics, motion of rocket called Newtonian Rocket is contemplated in the sense of framing its differential equations of motion. These differential equations of motion of rocket have been modified in the light of theory, of relativity applying Lorentz's transformation and have velocity of rocket but considerably less than the velocity of light to determine its propellant mass, velocity and distance travelled. A table with numerical has been prepared comparing the performance of the relativistic rocket with its Newtonian counterpart. On the whole the present paper deals with rocket dynamics in vacuum and gravitation-less space, coupled with continuous decrease in mass due to the propellant consumption and due to relativistic effects.