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→Creationistic explanation
where R = radial position, a<sub>0</sub> is a critical acceleration value, G is the gravitational constant, M is the total luminous mass of the galaxy (or group or cluster or supercluster) involved, and <math>\Pi</math> depends on the Bessel functions of the ratio R/2a.
where R = radial position, a<sub>0</sub> is a critical acceleration value, G is the gravitational constant, M is the total luminous mass of the galaxy (or group or cluster or supercluster) involved, and <math>\Pi</math> depends on the Bessel functions of the ratio R/2a.
Hartnett tested the above equation against the observed values of circular velocity of tracer gases in object NGC 3198 as a function of radial distance from the center. He found that this equation fit the observations almost exactly, while a traditional Newtonian equation for radial velocity,
The above equation is very similar to the [[Tully-Fisher relation]] between luminosity and maximum rotational speed,<ref name=Tully>Tully RB and Fisher JR, "[http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?1977A%26A....54..661T&data_type=PDF_HIGH&whole_paper=YES&type=PRINTER&filetype=.pdf A New Method of Determining Distance to Galaxies]", ''Astron. Astrophys.'' '''54''', 661-673 (1977)</ref><ref name=astroprof>"[http://astroprofspage.com/archives/846 The Tully-Fisher Relation]," The Astroprof's Page, April 4, 2007</ref>
<math>v^4 \propto L</math>
where L = luminosity, or
<math>A = k + 4 \ln v</math>
The Tully-Fisher relation was empirical, but Hartnett has given it a theoretical basis. Hartnett tested his equation against the observed values of circular velocity of tracer gases in object NGC 3198 as a function of radial distance from the center. He found that this equation fit the observations almost exactly, while a traditional Newtonian equation for radial velocity,
<math>v^2 = \frac{GM}{R}</math>
<math>v^2 = \frac{GM}{R}</math>
predicted circular velocities much lower than observed. Hence Hartnett's conclusion that ''luminous masses are correct, but the physical model that predicts radial velocity is incorrect.'' Hence, as Einstein obviated the planet [[Vulcan (planet)|Vulcan]], Hartnett now claims to obviate dark matter.
predicted circular velocities much lower than observed. Hence Hartnett's conclusion that ''luminous masses are correct, but the physical model that predicts radial velocity is incorrect.'' Thus, as Einstein obviated the planet [[Vulcan (planet)|Vulcan]], Hartnett now claims to obviate dark matter.
== Evolutionistic concept ==
== Evolutionistic concept ==