A `constant Lagrangian' Fit of the Galaxy Rotation Curves of the Complete Sparc Database of 175 Galaxies.

Authors: E.P.J. de Haas

In this paper I apply the `constant Lagrangian' model for galactic dynamics to the complete SPARC database of 175 galaxies. For twenty five percent, 43 out of 175, of the galaxies of the series, a single fit model already remains nicely within the error margins. Fifteen galaxies are more complicated and clearly need a threefold fit. One exceptional galaxy justified five fits. So 116 galaxies, 66 percent, have a dual fit. The multiple fit appears to follow the mass composition of galaxies as composed of a bulge, possibly a disk and mostly extended gas clouds. As in previous papers, I will first repeat a presentation of the `constant Lagrangian' approach. The original part of this paper is the fit of the complete set of the SPARC database and a first categorization of the result in single, dual, triple or multiple fit galaxies. Through the extensive database fit, the `constant Lagrangian' approach can be inverted from a deductive to an inductive result: huge stretches of all galaxies can be fitted on a constant Lagrangian curve, while remaining within the empirical margin of errors. This paper's galaxy fits prove this restricted claim beyond doubt. The issue then becomes to explain this empirical, inductive result.

Comments: 195 Pages.

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Submission history

[v1] 2018-05-18 11:00:06

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