We have investigated the possibility of main belt asteroids being trapped i
n the 1:1 resonance with other asteroids. Using contemporary mass estimates
for the large asteroids (1) Cares, (2) Pallas and (4) Vesta, it is found t
hat four asteroids are temporarily trapped in such resonances with Ceres an
d Vests during numerical integrations spanning 2 x 10(6) yr. In particular,
the asteroid (1372) Haremari is likely to be co-orbiting with Ceres at the
present time. The corresponding libration period is found to be less than
or similar to 10(5) yr. The implications of our results for the general dyn
amical evolution of minor bodies and these asteroids in particular is discu
ssed.