  Phoebe is one of the irregular satellites of Saturn; the images taken by
Cassini-Huygens spacecraft allowed us to analyze its surface and the craters on
it. We study the craters on Phoebe produced by Centaur objects from the
Scattered Disk (SD) and plutinos escaped from the 3:2 mean motion resonance
with Neptune and compare our results with the observations by Cassini. We use
previous simulations on trans-Neptunian Objects and a method that allows us to
obtain the number of craters and the cratering rate on Phoebe. We obtain the
number of craters and the greatest crater on Phoebe produced by Centaurs in the
present configuration of the Solar System. Moreover, we obtain a present
normalized rate of encounters of Centaurs with Saturn of $\dot F = 7.1 \times
10^{-11}$ per year, from which we can infer the current cratering rate on
Phoebe for each crater diameter. Our study and the comparison with the
observations suggest that the main crater features on Phoebe are unlikely to
have been produced in the present configuration of the Solar System and that
they must have been acquired when the SD were depleted in the early Solar
System. If this is what happened and the craters were produced when Phoebe was
a satellite of Saturn, then it had to be captured, very early in the evolution
of the Solar System.
