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

Abstract

Inthispaperweproposeanewmethodforreconstructingthesurfacedensityofmatterinflatdisksofspiralgalaxies.Thesurfacedensityisexpressedthroughobservationalrotationvelocitycurvesofvisiblematterinthedisksofspiralgalaxies.Thenewmethodisnotbasedonquadratureofspecialfunctions.Thefoundsolutionisusedforprocessingandanalysisofobservationaldatafromseveralspiralgalaxies.Thenewmethodcanbeusedtomoreaccuratelyestimatetheamountofdarkmatterinspiralgalaxies.