Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978afz....14..473k&link_type=abstract
(Astrofizika, vol. 14, July-Sept. 1978, p. 473-488.) Astrophysics, vol. 14, no. 3, Jan. 1979, p. 262-271. Translation.
Astronomy and Astrophysics
Astrophysics
1
Astronomical Models, Galaxies, Integral Equations, Mass Distribution, Space Density, Andromeda Galaxy, Computer Programs, Convergence, Data Smoothing, Estimating, Iterative Solution, Spheroids
Scientific paper
A model of the mass distribution in galaxies is proposed with similar coaxial spheroids as equidensity surfaces. The integral equation relating the spatial density to the circular velocity is transformed to a form that guarantees fairly rapid convergence of successive approximations. For whatever method is used to solve the problem, a function obtained from observations is differentiated. The proposed method can be applied to nondifferentiable functions and uses a priori assumptions about the smoothness of the exact solution. The method was implemented on a computer, tested on theoretical examples, and applied to the calculation of the mass distribution in M31.
Kutuzov A. S.
Sergeev V. O.
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