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KLT of radio signals from relativistic spaceships in hyperbolic motion

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Mathematical SETI

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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].

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References

  1. C. Maccone, “Relativistic Interstellar Flight and Gaussian Noise,” Acta Astronautica, 17 (1988), 1019–1027.

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  2. C. Maccone, “Relativistic Interstellar Flight and Instantaneous Noise Energy,” Acta Astronautica, 21 (1990), 155–159.

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  3. H. Minkowski, Raum und Zeit, English translation in The Principle of Relativity, Dover, New York, 1952, in particular pp. 85–86.

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  4. W. Rindler, Special Relativity, Oliver & Boyd, Edinburgh, 1960.

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  5. H. Goldstein, Classical Mechanics, Addison-Wesley, Reading, MA, 1950.

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  6. M. Abramowitz, and I. Stegun, Handbook of Mathematical Functions, Dover, New York, 1970.

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  7. A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York, 1953.

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  8. G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, 1966.

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  9. N. N. Lebedev, Special Functions and Their Applications, Dover, New York, 1972.

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  10. G. M. Anderson, and D. T. Greenwood, “Relativistic Flight with a Constant Thrust Rocket,” Astronautica Acta, 16 (1970), 153–158.

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Author information

Authors and Affiliations

  1. International Academy of Astronautics and Istituto Nazionale di Astrofisica, Via Martorelli 43, 10155, Torino (Turin), Italy

    Dr. Claudio Maccone

Authors
  1. Dr. Claudio Maccone
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Correspondence to Claudio Maccone .

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© 2012 Springer-Verlag Berlin Heidelberg

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Maccone, C. (2012). KLT of radio signals from relativistic spaceships in hyperbolic motion. In: Mathematical SETI. Springer Praxis Books(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27437-4_19

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  • DOI: https://doi.org/10.1007/978-3-642-27437-4_19

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27436-7

  • Online ISBN: 978-3-642-27437-4

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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