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The velocity distribution function (VDF) of the hypothetical Weakly Interacting Massive Particles (WIMPs), currently the most favored candidate for the Dark Matter (DM) in the Galaxy, is determined directly from the circular speed ("rotation") curve data of the Galaxy assuming isotropic VDF.
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An earlier work by Catena and Ullio Catena_Ullio_2012 used Eddington’s method to derive the local
Cited in the paper.
The exercise done in this paper can be repeated with other choices for the LSR. However, we do not expect the qualitative nature of our results to change significantly
Cited in the paper.
We use the numerically calculated full axisymmetric VM potential in our MCMC analysis to find the Galactic model parameters. From this, we estimate that the error in the potential due to the spherical approximation at the solar location is ∼ \sim 9%, and the approximation gets increasingly better at larger r r . The resulting errors in the normalized speed distribution gives curves which still lie within the uncertainty bands (due to uncertainties of the rotation curve data) shown in Figure 3
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M. Weber and W. de Boer, A&A 509
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