Physics
Scientific paper
Apr 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aps..aprw15005n&link_type=abstract
American Physical Society, APS April Meeting, April 22-26, 2006, abstract #W15.005
Physics
Scientific paper
Given the galaxy dimensions (including thickness) and rotation profile, a method is arranged to find the mass and density distribution in the defined envelope that will cause that rotation profile with near-exact speed matches. Newton's law is unchanged. Surface-light intensity or dark matter are not needed. Errors in previous methods are discussed. Thickness is considered important and some useful thickness distributions are shown that account for an exponential ``atmosphere.'' Equation development and proof of equations are shown for the forward problem (rotation profile from mass distribution). Also it is shown that the acceleration at the rim of a constant-SMD flat disk is nearly 3 times that of a sphere of the same mass and radius. With the reverse problem (mass distribution from rotation profile) results for several galaxies are presented in dimensionless plots allowing easy comparisons. Total mass results for galaxies are about 2/3 those found using dark-matter spheres.
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