Model consideration of the bombardment event of the asteroidal belt by the planetesimals scattered from the Jupiter zone
The temporal evolutions of the planetesimals scattered from the Jupiter zone for different masses of the proto-Jupiter (2 = 0.1 and b = 1.0 of the present mass) are investigated. Due to the combined effects of the orbital evolution of the planetesimals and the elimination of these projectiles either via impact capture or injection into escape velocity by the outer planets, the whole scattering process lasts about 100 million yr for case (a) and about 10 million yr for case (b). The longer time scale may be a good estimate for the accretion time interval of Jupiter while the shorter one gives the upper time limit of the late heavy-bombardment epoch of the terrestrial planets due to planetesimals scattered from the Jupiter zone. Consideration of the collisional interaction of these projectiles with the asteroids indicates that the corresponding bombardment effect could be rather appreciable. From this point of view, the structure of the asteroidal belt could be affected significantly not only by Jupiter's gravitational perturbation effect but also by its early scattering process.