Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ap%26ss..83..239b&link_type=abstract
Astrophysics and Space Science, vol. 83, no. 1-2, Apr. 1982, p. 239-246.
Astronomy and Astrophysics
Astrophysics
16
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.
Bendinelli Orazio
Parmeggiani Gianluigi
Zavatti F.
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