The deconvolution of brightness profiles of galaxies from seeing - Application to M32

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Andromeda Galaxy, Brightness Distribution, Galactic Radiation, Point Spread Functions, Spiral Galaxies, Convolution Integrals, Electrophotometry, Elliptical Galaxies, Normal Density Functions

Scientific paper

The integral equation relating the brightness distribution in a galaxy to that in its image formed by an optical system characterized by a Gaussian (or a sum of Gaussians) point-spread function is derived. Since the solution of this equation, attainable by any classical method, is numerically unstable, an approximate and stable solution is obtained by a first order regularization in Tikhonov's sense. For the bright spike the application to M32 gives a radius of 2.1 arcsec, a central surface brightness of 13.10 V mag/sq arcsec, and a 12 V integrated magnitude.

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