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

A.A. Shatsky; Igor Dmitrievich Novikov; O.K. Silchenko; J. Hansen; I.Y. Katkov

doi:10.1111/j.1365-2966.2012.20203.x

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

A.A. Shatsky, Igor Dmitrievich Novikov, O.K. Silchenko, J. Hansen, I.Y. Katkov

Theoretical high energy, astroparticle and gravitational physics

1 Citation (Scopus)

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.

Original language	English
Journal	Monthly Notices of the Royal Astronomical Society
Volume	420
Issue number	4
Pages (from-to)	3071-3080
Number of pages	9
ISSN	0035-8711
DOIs	https://doi.org/10.1111/j.1365-2966.2012.20203.x
Publication status	Published - 1 Mar 2012

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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. / Shatsky, A.A.; Novikov, Igor Dmitrievich; Silchenko, O.K. et al.

In: Monthly Notices of the Royal Astronomical Society, Vol. 420, No. 4, 01.03.2012, p. 3071-3080.

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AU - Shatsky, A.A.

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AU - Silchenko, O.K.

AU - Hansen, J.

AU - Katkov, I.Y.

PY - 2012/3/1

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N2 - 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.

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

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