Relativistic Rocket

Abstract

Using only the postulates of special relativity, we derive the kinematic equations for a relativistic rocket undergoing constant proper acceleration, obtain closed-form expressions for velocity, position, and proper time, and analyze fuel requirements for exhaust speeds (0.05c and c) and payloads (1.4 and 100 metric tons). Numerical examples illustrate feasibility across interstellar distance between 0 and 20 LY. We conclude that interstellar travel is infeasible without far future technology.Temple University. College of Science and TechnologyMathematic