KLT of radio signals from relativistic spaceships in hyperbolic motion
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].
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- H. Minkowski, Raum und Zeit, English translation in The Principle of Relativity, Dover, New York, 1952, in particular pp. 85–86.Google Scholar
- H. Goldstein, Classical Mechanics, Addison-Wesley, Reading, MA, 1950.Google Scholar
- M. Abramowitz, and I. Stegun, Handbook of Mathematical Functions, Dover, New York, 1970.Google Scholar
- A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York, 1953.Google Scholar
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, 1966.Google Scholar
- G. M. Anderson, and D. T. Greenwood, “Relativistic Flight with a Constant Thrust Rocket,” Astronautica Acta, 16 (1970), 153–158.Google Scholar