  Comparison of peculiar velocities of galaxies with their gravitational
accelerations (induced by the density field) is one of the methods to constrain
the redshift distortion parameter \beta=(\Omega_m^0.55)/b, where \Omega_m is
the non-relativistic matter density parameter and b is the linear bias. In
particular, one can use the motion of the Local Group (LG) for that purpose.
Its peculiar velocity is known from the dipole component of the cosmic
microwave background, whereas its acceleration can be estimated with the use of
an all-sky galaxy catalog, from the so-called clustering dipole. At the moment,
the biggest dataset of that kind is the Two Micron All Sky Survey Extended
Source Catalog (2MASS XSC) containing almost 1 million galaxies and complete up
to ~300 Mpc/h. We applied 2MASS data to measure LG acceleration and used two
methods to estimate the beta parameter. Both of them yield \beta~0.4 with an
error of several per cent, which is the most precise determination of this
parameter from the clustering dipole to date.
