  Dynamics of a complete sample of 22 small perihelion distance near-parabolic
comets discovered in the years 2006 - 2010 is studied.
  First, osculating orbits are obtained after a careful positional data
inspection and processing, including where appropriate, the method of data
partitioning for determination of pre- and post-perihelion orbit for tracking
then its dynamical evolution. The nongravitational acceleration in the motion
is detected for 50 per cent of investigated comets, in a few cases for the
first time. Different sets of nongravitational parameters are determined from
pre- and post-perihelion data for some of them. The influence of the positional
data structure on the possibility of the detection of nongravitational effects
and the overall precision of orbit determination is widely discussed.
  Secondly, both original and future orbits were derived by means of numerical
integration of swarms of virtual comets obtained using a Monte Carlo cloning
method. This method allows to follow the uncertainties of orbital elements at
each step of dynamical evolution. The complete statistics of original and
future orbits that includes significantly different uncertainties of 1/a-values
is presented, also in the light of our results obtained earlier. Basing on 108
comets examined by us so far, we conclude that only one of them, C/2007 W1
Boattini, seems to be a serious candidate for an interstellar comet. We also
found that 53 per cent of 108 near-parabolic comets escaping in the future from
the Solar system, and the number of comets leaving the Solar system as so
called Oort spike comets is 14 per cent.
  A new method for cometary orbit quality assessment is also proposed that
leads to a better diversification of orbit quality classes for contemporary
comets.
