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- Guillermo A. González, Juan F. Pedraza, Javier Ramos-Caro, Distribution functions for a family of axially symmetric galaxy models. , Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales: Vol. 40 No. 155 (2016)
- Guillermo A. González, Relativistic models of magnetized dust disks in an axially symmetric conformastatic spacetime , Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales: Vol. 38 (2014): Suplemento Vol. 38
- Framsol López-Suspes, Jerson I. Reina, Guillermo A. González, Chaotic and regular motion around objects with quadrupolar and octupolar deformation , Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales: Vol. 41 No. 160 (2017)
- Framsol López-Suspes, Guillermo A. González, Discos Gruesos con Momentos Multipolares Newtonianos , Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales: Vol. 37 No. 144 (2013)
- Eduar A. Becerra, Fredy L. Dubeibe, Guillermo A. González, On the Influence of the Mass Definition in the Stability of Axisymmetric Relativistic Thin Disks , Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales: Vol. 41 No. 158 (2017)
- Fredy L. Dubeibe, Sandra M. Martínez-Sicachá, Guillermo A. González, Orbital dynamics in realistic galaxy models: NGC 3726, NGC 3877 and NGC 4010 , Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales: Vol. 43 No. 166 (2019)
- Guillermo A. González , Cĕch Cohomology and Topological Quantization of Physical Parameters , Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales: Vol. 47 No. 182 (2023)
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Abstract
A family of analytical potential-density pairs for flat galaxies with spheroidal halos is presented. The potential are obtained by means of the sum of two independent terms: a potential associated with a thin disc and a potential associated with a spheroidal halo, which are expressed as appropriated superpositions of products of Legendre functions, in such a way that the model implies a linear relationship between the masses of the thin disc and the spheroidal halo. By taking a particular case for the halo potential, we found that the circular velocity obtained can be adjusted very accurately to the observed rotation curves of some specific galaxies, so that the models are stable against radial and vertical perturbations. Two particular models for the galaxies NGC4389 and UGC6969 are obtained by adjusting the circular velocity with data of the observed rotation curve of some galaxies of the Ursa Mayor Cluster, as reported in Verheijen and Sancisi (2001). The values of the halo mass and the disc mass for these two galaxies are computed obtaining a very narrow interval of values for these quantities. Furthermore, the values of obtained masses are in perfect agreement with the expected order of magnitude and with the relative order of magnitude between the halo mass and the disc mass. © 2016. Acad. Colomb. Cienc. Ex. Fis. Nat. All rights reserved.
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