An approximate expression for the maximum pellet displacement can be derived as follows. In Reduced MHD, the equilibrium condition is
Approximate this equation by
where 
is the pellet pressure,
is the pellet radius,
and 
measures the extent of the pellet cloud
in the toroidal angle 
The factor 
the component of the R unit vector
along the outward normal to the magnetic surface,
accounts for the relative direction of the shift.
The equilibrium 
at the pellet is
approximately
Combining these approximations, one finds that
where 
and 
is the backgound pressure.
Plugging in 
and
gives
The data from Fig.5, Fig.10 and Fig.15
is collected in Fig.16, which plots
the maximum shift
as a function of 
Included are
other runs with 
with 
as well as with 
and
Several cases were initialized with a simple non adiabatic
model, in which the temperature was not modified to give an
invariant pressure profile. The maximum displacement (16)
is proportional to 
In the adiabatic case is
given by (10), and in the
nonadiabatic case by
The adiabatic case is marked
by filled circles in Fig.16, and the simple case by
open circles.
The data is consistent with a straight line fit to the dotted line
given by (17).
The left most point from Fig.10, the inboard
injection case, has the maximum possible deviation
the pellet having penetrated
to the center.
It may be useful to
express (16) in terms of a
pellet displacement 
the total pellet particle
number 
and the background particle number 
Taking 
and 
gives
The result (18) shows that sufficiently massive and localized pellets can have large excursions.
