  Hungaria asteroids, whose orbits occupy the region in element space between
$1.78< a< 2.03$ AU, $e<0.19$, $12^\circ<i<31^\circ$, are a possible source of
Near-Earth Asteroids (NEAs). Named after (434) Hungaria these asteroids are
relatively small, since the largest member of the group has a diameter of just
about 11 km. They are mainly perturbed by Jupiter and Mars, possibly becoming
Mars-crossers and, later, they may even cross the orbits of Earth and Venus. In
this paper we analyze the close encounters and possible impacts of escaped
Hungarias with the terrestrial planets. Out of about 8000 known Hungarias we
selected 200 objects which are on the edge of the group. We integrated their
orbits over 100 million years in a simplified model of the planetary system
(Mars to Saturn) subject only to gravitational forces. We picked out a sample
of 11 objects (each with 50 clones) with large variations in semi-major axis
and restarted the numerical integration in a gravitational model including the
planets from Venus to Saturn. Due to close encounters, some of them achieve
high inclinations and eccentricities which, in turn, lead to relatively high
velocity impacts on Venus, Earth, and Mars. We statistically analyze all close
encounters and impacts with the terrestrial planets and determine the encounter
and impact velocities of these fictitious Hungarias.
