We investigate the dynamical properties of the cluster of galaxies A35
58 (Shapley 8). Studying a region of 1 deg(2) (similar to 3 Mpc(2)) ce
ntered on the cluster cD galaxy, we have obtained a statistically comp
lete photometric catalog with positions and magnitudes of 1421 galaxie
s (down to a limiting magnitude of B similar to 21). This catalog has
been matched to the recent velocity data obtained by Mazure et al. and
from the literature, yielding a radial velocity catalog containing 32
2 galaxies. We analyze the resulting catalog in search of substructure
, using different statistical techniques. This analysis shows that the
position/velocity space distribution of galaxies shows significant su
bstructure. A central bimodal core, detected previously in a prelimina
ry study by Dantas, de Carvalho, & Capelato and by an analysis of the
X-ray emission map by Slezak, Durret, & Gerbal, is confirmed using the
adaptive kernel technique and wavelet analysis. We show that this cen
tral bimodal substructure is nevertheless composed of a projected feat
ure, kinematically unrelated to the cluster, plus a group of galaxies
probably in its initial merging phase into a relaxed core. The cD gala
xy's velocity offset with respect to the average cluster redshift, rep
orted earlier by several authors, is completely eliminated as a result
of our dynamical analysis. The untangling of the relaxed core compone
nt also allows a better, more reliable determination of the central ve
locity dispersion, which in turn eliminates the ''beta problem'' for A
3558. The cluster also shows a ''preferential'' distribution of subclu
mps coinciding with the direction of the major-axis position angle of
the cD galaxy and of the central X-ray emission ellipsoidal distributi
on, in agreement with the anisotropic merger scenario described by Wes
t.