An interpretation of the de Vaucouleurs empirical formulae.

Astronomy and Astrophysics – Astronomy

Scientific paper

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Galaxies: Dynamics

Scientific paper

In the framework of the axial symmetry and spheroidal geometry one looks for the interpretation of the de Vaucouleurs empirical formulae (describing the coordinate dependence of the surface density) for the discs and halos of spiral galaxies (also for the main bodies of elliptical galaxies). Using the general formula of the form ρ(q) = A[qb(a+q)c]-1 (ρ is volume density), where A, a, b and c are constants (the exponents b and c are positive real numbers), one obtains satisfactory approximations for the solutions emanating from the empirical formulae describing the surface density.

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