  We investigate the effect of a dark matter caustic passing through the Solar
System. We find, confirming a previous result, that the Sun tracks the caustic
surface for some time. We integrate numerically the equations of motion of the
Sun and a comet for a large number of initial conditions and of caustic passage
properties. We calculate the probability for the comet to escape the Solar
System and the probability for it to fall within 50 A.U. of the Sun, given the
initial semi-major axis and eccentricity of its orbit. We find that the average
probability for a comet to fall within 50 A.U. of the Sun is of order $3 \cdot
10^{-4}$ and that comets which are initially at a distance larger than about
$10^5$ A.U. have a probability of order one to be ejected from the Solar
System.
