%0 Journal Article
%T Galaxy Rotation in the Space of Four Distance Dimensions
%A Ahti Rahikainen
%J World Journal of Mechanics
%P 83-94
%@ 2160-0503
%D 2020
%I Scientific Research Publishing
%R 10.4236/wjm.2020.107007
%X This study contains the solution of the dark matter mystery of spiral
galaxies by using the space of four distance dimensions <i><span>x</span></i><span>, </span><i><span>y</span></i><span>, </span><i><span>z</span></i><span>, </span><i><span>x</span></i><i><span>'</span></i><span \"=\"\"><span>, in which </span><i><span>x</span></i></span><i><span>'</span></i><span \"=\"\"><span> is the fourth distance dimension. The calculation
of galaxy rotation has been presented in the space of four dimensions by using
two dimensional section </span><i><span>x</span></i><span>, </span><i><span>x</span></i></span><i><span>'</span></i><span \"=\"\"><span> and three dimensional section </span><i><span>x</span></i><span>, </span><i><span>y</span></i><span>, </span><i><span>x</span></i></span><i><span>'</span></i><span \"=\"\"><span>. The four dimensional mass </span><i><span>M</span></i><span> which generates the main gravitation
field of galaxy is located at the fourth dimension at the distance </span><i><span>x</span></i></span><i><span>'</span></i><span \"=\"\"><span> = </span><i><span>X</span></i></span><i><span>'</span></i><span \"=\"\"><span> and other dimensions are zero </span><i><span>x</span></i><span> = 0, </span><i><span>y</span></i><span> = 0, </span><i><span>z</span></i><span> = 0. The method to calculate the speed
distribution curve of four dimensional mass </span><i><span>V</span><sub><span>M</span></sub></i><span>:
the speed distribution curve </span><i><span>V</span><sub><span>M</span></sub> </i><span>is calculated by using the equation in which the gravitational force is
equal to the centrifugal force </span></span><span \"=\"\"><span>of rotation. The solution of this equation yields
the speed distribution</span><span> component </span><i><span>V</span><sub><span>M</span></sub></i><span> of the four dimensional
mass </span><i><span>M</span></i><span> and the value of the mass </span><i><span>M.</span></i><span> In the publication </span></span><span>[1]</span><span \"=\"\"><span> has been presented rotational speed distributions curves of the galaxy
NGC 3198. The speed distribution curve of galactic halo in that publication
corresponds to the speed distribution curve </span><i><span>V</span><sub><span>M</span></sub></i><span> of four dimensional mass </span><i><span>M</span></i><span> of this
study. In order to find out how well this four dimensional model functions, the
speed distribution curve </span><i><span>V</span><sub><span>M</span></sub></i><span> of four dimensional mass </span><i><span>M</span></i><span> has been
calculated by using two
%K Galaxy Rotation
%K Dark Matter
%K Atom Theory
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=101610