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D.2 Bulge Profile
For , Equation D.1 becomes de Vaucouleurs, or
, law
|
(D.5) |
which characterizes the profiles of elliptical galaxies and bulge components
of disk galaxies. According to this profile, the total brightness can be
written as
|
(D.6) |
while the central surface brightness and the average surface
brightness inside the effective radius
are related to
by
|
(D.7) |
Remembering Equation A.5, the bulge profile given by
Equation D.5 can be put on a magnitude scale
|
(D.8) |
while equalling Equations A.4 and D.6, one can
express as function of and , obtaining
|
(D.9) |
Next: D.3 Disk Profile
Up: D. Galaxy Surface Brightness
Previous: D.1 Sersic Law
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Mattia Vaccari
2000-12-05