We have presented in a companion article a kinematic study of three EE galaxy pairs, NGC 741/742, 1587/1588 (CPG 99) and 2672/2673 (CPG 175
). We find some evidence for perturbed velocity and velocity dispersio
n profiles. These perturbation features are now reported for 14 galaxi
es in the literature. They occur, or require observations for detectio
n, at large radii where the S/N in the data is low. While observations
of individual galaxies are sometimes uncertain, the large number of o
bjects where such features are suspected gives confidence that they ar
e real. These perturbations can be attributed to projection effects, c
ontamination along the line of sight, or directly to the tidal interac
tion. We report the results of several self-gravitating simulations of
unbound pairs in an effort to better understand these perturbations a
nd other generic features of close E+E pairs reported in the literatur
e. The models frequently show off-center envelopes created by the asym
metry of tidal forces during interpenetrating encounters. The envelope
s last for a few 10(8) yrs, which explains the frequency of such featu
res in observed pairs. This phenomenon is stronger in the self-gravita
ting simulations than in the MTBA runs. U-shaped (and an equal number
of inverse U shaped) velocity profiles are seen in the simulations, a
result of ablation in the outer envelopes. Simulations including inner
galaxy rotation also preserve this feature, irrespective of the spin
vector direction in each galaxy. U-shape velocity structure is found t
o be a robust indicator of the ongoing interaction. All simulations sh
ow evidence for enhanced velocity dispersion between the galaxies even
in the case of simple superposition of two non interacting objects. W
e therefore conclude that this cannot be considered an unambiguous ind
icator of the interaction.