A problem in relativistic navigation - The three-dimensional rocket equation

Computer Science – Performance

Scientific paper

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Celestial Reference Systems, Equations Of Motion, Interstellar Travel, Relativistic Effects, Relativistic Velocity, Space Navigation, State Vectors, Einstein Equations, Kinematics, Lorentz Transformations, Matrices (Mathematics), Onboard Equipment, Propulsion System Performance, Time Measurement

Scientific paper

Several causes alter a thrust vector with respect to the nominal direction of flight. A three-dimensional equation of motion of a starship becomes then necessary for a more realistic analysis of a mission. In this paper a generalization for a pure-rocket ship is made and the fundamental problem of navigation in interstellar flight is quantitatively dealt with. Although preliminary, a scheme is suggested in order to calculate the state vector in a galactic frame starting from the output of on-board clocks and accelerometers. A technique to update the ship's clock is also discussed.

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