Lukasz Bratek

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An iterative method for reconstructing mass distribution in spiral galaxies using a thin disk approximation is developed. As an example, the method is applied to galaxy NGC 4736; its rotation curve does not allow one to employ a model with a massive spherical halo. We find a global mass distribution in this galaxy (without non-baryonic dark matter) that(More)
An algorithm of finding numerical solutions of pulsar equation is presented which is essentially different from the one used in the pioneering paper by Contopoulos, Kazanas & Fendt. The problem of finding the solutions was reduced to finding expansion coefficients of the source term in a base of orthogonal functions on the unit interval by minimizing a(More)
It is shown how the appearance of the 1-skyrmion on the three-sphere of radius L can be understood quantitatively by analyzing spectrum of the Hessian at the identity solution. Previously, this analysis was done qualitatively by N. Manton 7 which used a conformal deformation of the identity solution. Analysis of critical appearance of solutions in the(More)
A global disk model is applied to find mass distribution in spiral galaxies NGC 1365, NGC 6946, NGC 7793. The obtained B-band mass-to-luminosity ratio is lower than 4 for three galaxies. It is consistent with pure baryon matter composition with no need to invoke non-baryonic component in the form of the spherical halo. Especially important is the case of(More)
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