The angular spectrum of random velocities of extragalactic sources
M.V. Sazhin1, O.S. Sazhina2 and A.O. Marakulin3
(1) Sternberg State Astronomical Institute, Lomonosov Moscow State University, Moscow, Russia
(2) Sternberg State Astronomical Institute, Lomonosov Moscow State University, Moscow, Russia
(3) Sternberg State Astronomical Institute, Lomonosov Moscow State University, Moscow, Russia
We consider the contribution of the stochastic component in the multipole spectrum of angular velocities of extragalactic sources. We build the complete orthonormal set of vector spherical functions, expand the vector field of angular velocities in a Fourier series in these functions, and calculate the two-point correlators of the vector spherical harmonic amplitudes and the rotationally invariant multipole coefficients. It is shown that the spectrum of multipole harmonics does not depend on the multipole number. We discuss a comparison of the theoretical predictions with experimental data.
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- M. V. Sazhin, The Anisotropy and Polarization of the Relic Radiation. The Recent Data. Uspekhi Phys. Nauk 174, 2 (2004).
- S. M. Kopeikin and V. V. Makarov, Astrometric Effects of Secular Aberration. Astron. J. 131, 1471-1478 (2005).
- A. S. Gorbunov and V. A. Rubakov, Introduction to the Theory of the Early Universe, v.2: Cosmological Perturbations, the Inflationary Theory (URSS, Moscow, 2009).
- O. Titov, S. B. Lambert, and A.-M. Gontier, VLBI Measurements of the Secular Aberration Drift, arXiv: 1009.3698.
- I. M. Gel'fand, R. A. Minlos, and Z. Ya. Shapiro, Representations of the Rotation Group and the Lorentz Group, and Their Applications (Fizmatlit, Moscow, 1958); arXiv: 0911.3221.
- M. V. Sazhin, D. G. Blair, and S. K. Jones. Gravitational Radiation Detection by VLBI Radio Astronomy, in: Marcell Grossman Proc. 1829 (1990).
- T. Pyne, G. R. Gwinn, M. Birkinshaw et al., Astroph. J. 465, 566 (1996).
- C. R. Gwinn, T. M. Eubanks, T. Pyne et al., Quasar Proper Motion and Low-Frequency Gravitational Waves, Astroph. J. 485, 87-91 (1997).
- M. C. Begelman, R. D. Blandford, and M. J. Rees, Rev. Mod. Phys. 56, 255 (1984).
- C. Ma, E. F. Arias, T. M. Eubanks et al., Astron. J. 116, 516 (1998).
- V. E. Zharov, Spherical Astronomy (Vek-2, 2006).
- D. C. MacMillan, Future Directions in High Resolution Astronomy, eds. J. D. Romney and M. J. Reid (The 10th Anniversary of the VLBI ASP Conference series), 2003.
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