Analytic approximations to the convolution of galaxy profiles

Details Analytic approximations to the convolution of galaxy profiles Analytic approximations to the convolution of galaxy profiles

May 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988aj.....95.1569s&link_type=abstract

Astronomical Journal (ISSN 0004-6256), vol. 95, May 1988, p. 1569-1572.

Statistics

Computation

10

Brightness Distribution, Computational Astrophysics, Convolution Integrals, Galactic Structure, Asymptotic Methods, Hypergeometric Functions, Point Spread Functions

Scientific paper

Simple formulas are derived for the surface brightness of a circular galaxy profile after two-dimensional convolution with a Gaussian point-spread function. Separate approximations are given for large and small radii. An exact expression for the central surface brightness and an approximation to the apparent core radius are included. These results may be used to assess the apparent color gradient introduced by seeing differences between images and determine whether there is evidence for excess nuclear emission.

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