By means of N-body simulations we study the global dynamics of triplets of
galaxies, considering initial conditions (ICs) starting from 'maximum expan
sion' and in virial equilibrium. Unlike previous studies we treat galaxies
self-consistently, but we restrict ourselves to models with spherical symme
try and do not consider the influence of a primordial common halo of dark m
atter.
Our results indicate that a low number of triple mergers is expected at the
present epoch (approximate to 10 per cent) for collapsing triplets. Initia
lly virialized conditions yield approximate to5 per cent of triple mergers
in similar to 10 Gyr of evolution; hence, the three-galaxy problem has stab
le states. No overmerging problem for these small groups of galaxies is fou
nd. Their geometrical properties, as reflected by the Agekyan-Anosova map,
do not show an excess of extreme hierarchical triplets. Unlike the three-bo
dy problem no 'sling-shot' events are found during triple interactions, for
both collapsing and virial ICs. The median velocity dispersion of observed
compact triplets (sigma similar to 100 km s(-1)) is not well reproduced in
our models at the present epoch: sigma similar to 50 km s(-1) for collapsi
ng and sigma similar to 80 km s(-1) for virial. However, about 10 per cent
of simulated triplets reaching the present epoch from maximum expansion hav
e dynamical properties very similar to the median of Karachentev's compact
triplets. Our median values agree, however, very well with the new data on
triplets. We find that the median of the virial mass estimates does not ove
restimate, in general, the mass of triplets, but underestimates it by appro
ximate to 35 per cent. The median mass estimator appears as a somewhat bett
er mass estimator.
Analysis of the dynamical parameters, as well as information obtained from
a pseudophase-plane constructed using their velocity dispersion and harmoni
c radius, leads us to conclude that Karachentsev's compact triplets probabl
y represent the most advanced stage of gravitational clustering of initiall
y diffuse triplets. To test this thesis we suggest that triplets be studied
within a cosmological scenario.