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Numerical modeling of the solutions of the Jacobi equation on a geodesic with random curvature

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Abstract

We have carried out numerical simulations of solutions of the Jacobi equation on a geodesic with arbitrary curvature, describing the propagation of light in a Universe with inhomogeneities. We used a Runge-Kutta method and a special method involving the multiplication of random matrices. The results are compared with analytical predictions of the asymptotic behavior of a typical realization of this equation and of the behavior of the mean and higher-order statistical moments.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    M. E. Artyushkova & D. D. Sokolov

Authors
  1. M. E. Artyushkova
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  2. D. D. Sokolov
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Translated from Astronomicheski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Zhurnal, Vol. 82, No. 7, 2005, pp. 584–589.

Original Russian Text Copyright © 2005 by Artyushkova, Sokolov.

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Artyushkova, M.E., Sokolov, D.D. Numerical modeling of the solutions of the Jacobi equation on a geodesic with random curvature. Astron. Rep. 49, 520–525 (2005). https://doi.org/10.1134/1.1985949

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  • DOI: https://doi.org/10.1134/1.1985949

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