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 .