Astron. Astrophys. 351, 869-882 (1999)
4. Effective and total near-infrared magnitudes
4.1. Apparent magnitudes and colors
Effective and total near-infrared magnitudes have been computed for
all the galaxies with known effective aperture by fitting the growth
curves introduced in the previous
section to the observed data , where
is the uncertainty on the magnitude
. The asymptotic magnitude depends
primarily on the shape of the growth curve at large aperture. To avoid
problems with small apertures suffering from seeing or off-centering,
or which are contaminated by nuclear emission or a central starburst,
we remove all the observations at
from the fit.
The procedure to compute the total and effective NIR magnitudes
,
and the corresponding uncertainties ,
due to the uncertainties in the
aperture magnitudes is detailed in Appendix B.
The global uncertainty on
taking also into account the
uncertainties in and
is finally computed from
![[EQUATION]](img98.gif)
and the same for .
In many cases, the photometric type
is unknown and we estimate it from
the morphological type T with the following relations derived
by cross-correlating Hypercat and the RC3:
![[EQUATION]](img100.gif)
We then simply assume .
The uncertainty on the colors ,
where , is computed as
![[EQUATION]](img104.gif)
However, this is clearly an overestimate because J, H
and K data have usually been observed simultaneously and their
errors are presumably highly positively correlated.
When B is one of the band, e.g.
, the partial derivatives are
unknown. We then estimate as
![[EQUATION]](img107.gif)
This will usually be a slight overestimate since the partial
derivatives of B and should
have the same sign, but most of the uncertainty comes actually from
the NIR data themselves.
4.2. Absolute magnitudes
The absolute magnitude is
computed from the apparent magnitude
as
![[EQUATION]](img110.gif)
where is the velocity of a
galaxy derived from the redshift z and corrected for the
movement of the Sun in the restframe of the Virgo cluster according to
the equations (18), (19), (20), (31) and (32) from Paturel et al.
(1997). We assume . The uncertainty
on the absolute magnitude is computed from
![[EQUATION]](img113.gif)
where is the typical peculiar
velocity of galaxies in the Las Campanas Redshift Survey (Lin et al.
1996). At low redshift, peculiar velocities perturb the
redshift-distance relation and increase the uncertainty on the
absolute magnitude. All the absolute magnitudes of the galaxies with
have been discarded in the
following. has been computed
according to the formulae (1) and (2) of the Appendix A of Paturel et
al. (1997), taking into account both the internal uncertainty on the
values of the redshift and the discrepancies between them.
Covariances between the colors and the absolute magnitudes have
also been computed.
The complete catalog, containing both the optical and the NIR
magnitudes, will be published in a forthcoming paper and will also be
available in electronic form.
© European Southern Observatory (ESO) 1999
Online publication: November 16, 1999
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