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Mathematical SETI

Part of the series Springer Praxis Books pp 471-490

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KLT of radio signals from relativistic spaceships in hyperbolic motion

  • Claudio MacconeAffiliated withInternational Academy of Astronautics and Istituto Nazionale di Astrofisica Email author 

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Abstract

A spaceship, traveling at a constant acceleration g in its own reference frame, exemplifies the relativistic interstellar flight. If a Gaussian noise (Brownian motion) is emitted in units of the spaceship’s proper time, it undergoes a time rescaling when measured in units of the coordinate time. This noise is studied in this chapter in terms of its KL expansion. All topics discussed in this chapter were first published by the author between 1988 and 1990 [1, 2].