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A new integral representation for reconstructing the density distribution of matter in the discs of spiral galaxies using the rotation velocity curve in it

Authors

  • A. A. Shatskiy,

    Corresponding author
    1. Astro Space Center, Lebedev Physical Institute, 84/32 Profsoyuznaya st., Moscow 117997, Russia
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  • I. D. Novikov,

    1. Astro Space Center, Lebedev Physical Institute, 84/32 Profsoyuznaya st., Moscow 117997, Russia
    2. Niels Bohr Institute, Blegdamsvey 17, Copenhagen DK-2100, Denmark
    3. Kurchatov Institute, Moscow, Akademika Kurchatova pl., Moscow 123182, Russia
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  • O. K. Silchenko,

    Corresponding author
    1. Sternberg Astronomical Institute, Lomonosov Moscow State University, 13 Universitetski prospect, Moscow 119992, Russia
    2. Isaac Newton Institute of Chile, Moscow Branch, Universitetskiy prospect 13, Moscow 119991, Russia
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  • J. Hansen,

    1. Korea Institute of Science and Technology Information (KISTI), 335 Gwahak-ro, Yuseong-gu, Daejeon 305-806, Korea
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  • I. Yu. Katkov

    1. Sternberg Astronomical Institute, Lomonosov Moscow State University, 13 Universitetski prospect, Moscow 119992, Russia
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E-mail: shatskiy@asc.rssi.ru (AAS); sil@sai.msu.su (OKS)

ABSTRACT

In this paper, we propose a new integral representation for reconstructing the surface density of matter in the flat discs of spiral galaxies. The surface density is expressed through the observed rotation velocity curves of visible matter in the discs of spiral galaxies. The new integral representation is not based on the quadrature of special functions. The solution that is found is used to process and analyse observational data from several spiral galaxies. The new integral representation can be used to more accurately estimate the amount of dark matter in spiral galaxies.

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