Authors: E.P.J. de Haas
In this paper I categorize and analyze the `constant Lagrangian' model fits I made of the complete SPARC database of 175 LTG galaxies. Of the 175 galaxies, 45 allowed a single fit rotation curve, so about 26 percent. Another 2 galaxies could almost be plotted on a single fit. Then 36 galaxies could be fitted really nice on crossing dual curves. The reason for the appearance of this dual curve, in its two versions, could be given and related to the galactic constitution and dynamics. Another 25 galaxies could be fitted on parallel transition dual curves. This appearance could also be related to galactic dynamics and galactic mass distribution. Then there were the 19 multiple fit, complex extended galaxies, the complexities of which could be analyzed on the basis of the 4 types of dual fits. In total 128 of the 175 galaxies could be fitted and analyzed very well to reasonably well within the error margins. That is a 73 percent positive rate. This result rules out stochastic coincidence as an explanation of those fits. In my opinion, the success of the `constant Lagrangian' approach indicates that the problem of the galaxy rotation curves, perceived as a virial theorem problem, can be solved solely on the basis of the Lagrangian formulation of the principle of conservation of energy, when applied to this domain existing in between Newton's and Einstein's theories of gravity.
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