A comprehensive analysis using 9 dark matter halo models on the spiral
  galaxy NGC 4321
  This paper addressed the dark matter analysis on the spiral galaxy NGC 4321
(M100) by considering the nine different dark matter profiles so far lacking in
the scientific literature, i.e. Pseudoisothermal, Burkert, NFW, Moore, Einasto,
core-modified, DC14, coreNFW and Lucky13 profiles. In this paper, we analyzed
the rotation curve analysis on the galaxy NGC 4321 by using nonlinear fitting
of star, gaseous and dark matter halo equations with selected VLA HI
observation data. Among the nine dark matter profiles, four dark matter
profiles (DC14, Lucky13, Burkert and Moore profiles) showed declining features
and hence found to be not suitable for this galaxy. This is concluded to be
mainly due to the characteristics of those dark matter profiles and also due to
the varying levels of problems within the inner regions fittings. For the
remaining five accepted dark matter profiles, we further conducted analysis by
using the reduced chi-square test. Four out of the five accepted dark matter
profiles lie within the range of 0.40 < reduced chi-square < 1.70, except for
the case of the core-modified profile. In addition, Pseudoisothermal profile
achieved the best fitting i.e. reduced chi-square nearest to 1, mainly due to
its linearity in the inner region and flatness at large radii.
