The kinematical distance modulus mucin can be derived from
the heliocentric velocity properly corrected for the Local Group
infall onto the Virgo cluster vvir
assuming a given Hubble constant 
.
It must be noted that this distance does not include a correction for the infall
of individual galaxies onto Virgo. Such a distance could have been calculated
for instance using the model by Peebles (1976) as described
in Bottinelli et
al. (1986). However, this model does not allow the calculation in the
direction of the Virgo center because of the third degree equation
(Eq. (2) in Bottinelli et al. 1986). Further, this model requires the
choice of a Virgo distance, of a Virgo mean radial velocity and of
a velocity infall for the Local Group,
while the calculation of mucin requires only the choice
of the velocity infall for the Local Group (we adopted
; see Sect. 9). In the
direction of Virgo cluster
center mucin can be overestimated or underestimated depending on the
background or foreground position of the considered galaxy
with respect to Virgo center.
mucin is calculated only where 
, mucin is
available for 39243 galaxies.
It is used to derive an estimate of the absolute magnitude amabs in Blue band:
