  The Parker Solar Probe (PSP) spacecraft has flown into the most dense and
previously unexplored region of our solar system's zodiacal cloud. While PSP
does not have a dedicated dust detector, multiple instruments onboard are
sensitive to the effects of meteoroid bombardment. Here, we discuss
measurements taken during PSP's first two orbits and compare them to models of
the zodiacal cloud's dust distribution. Comparing the radial impact rate trends
and the timing and location of a dust impact to an energetic particle detector,
we find the impactor population to be consistent with dust grains on hyperbolic
orbits escaping the solar system. Assuming PSP's impact environment is
dominated by hyperbolic impactors, the total quantity of dust ejected from our
solar system is estimated to be 1-14 tons/s. We expect PSP will encounter an
increasingly more intense impactor environment as its perihelion distance and
semi-major axis are decreased.
