  We predict the amount of cometary, interplanetary, and interstellar cosmic
dust that is to be measured by the Cometary and Interstellar Dust Analyzer
(CIDA) and the aerogel collector on-board the Stardust spacecraft during its
fly-by of comet P/Wild 2 and during the interplanetary cruise phase. We give
the dust flux on the spacecraft during the encounter with the comet using both,
a radially symmetric and an axially symmetric coma model. At closest approach,
we predict a total dust flux of $10^{6.0} m^{-2} s^{-1}$ for the radially
symmetric case and $10^{6.5} m^{-2} s^{-1}$ for the axially symmetric case.
This prediction is based on an observation of the comet at a heliocentric
distance of $1.7 {\rm AU}$. We reproduce the measurements of the Giotto and
VEGA missions to comet P/Halley using the same model as for the Stardust
predictions. The planned measurements of {\em interstellar} dust by Stardust
have been triggered by the discovery of interstellar dust impacts in the data
collected by the Ulysses and Galileo dust detector. Using the Ulysses and
Galileo measurements we predict that 25 interstellar particles, mainly with
masses of about $10^{-12} g$, will hit the target of the CIDA experiment. The
interstellar side of the aerogel collector will contain 120 interstellar
particles, 40 of which with sizes greater than $1 \mu m$. We furthermore
investigate the ``contamination'' of the CIDA and collector measurements by
interplanetary particles during the cruise phase.
