The first determination of the mass of asteroids (16) Psyche and (121) Herm
ione is reported. From an encounter with asteroid (94) Aurora, the value (8
.7 +/- 2.6) 10(-12) M-circle dot (solar mass) was derived for the mass of (
16) Psyche. A mean density of(1.8 +/- 0.6) g/cm(3) was deduced for this ast
eroid, which is much smaller than expected, since Psyche is believed to be
a M-type asteroid (i.e. an asteroid of metallic composition). Some reasons
that can explain this result are given, as well as some directions for furt
her studies that could help improving the accuracy of the mass and the dens
ity of Psyche. On the other hand, the value (4.7 +/- 0.8) 10(-12) M-circle
dot found for the mass of (121) Hermione from an encounter with (278) Pauli
na, and which gives a mean density of (1.8 +/- 0.4) g/cm(3) for Hermione, c
orresponds to the expected value.