Аннотация:The discovery and study of cometary activity of some bodies in the Main-Belt of asteroids (MBA) over the past decade allowed us suggest that the most common cause of this phenomenon is a significant content of water ice in the subsurface layers of primitive asteroids. Accordingly, this may be a sign of the formation of such asteroids (or their parent bodies) behind the snowline. As demonstrated analytical calculations performed more than 50 years ago (Safronov, 1969), a sharp increase in the number and total mass of stone-ice bodies behind the snowline let possible the runaway growth of giant planets there, especially Jupiter. As follows from predominately hydrogen content of Jupiter’s atmosphere, its core probably formed over a few first million years due to the accretion of smaller bodies. However, should keep in mind that this process gradually changed into its opposite. When the core of a giant planet is reaching several masses of the Earth, the capture and absorption by it of smaller bodies is replacing by their gravitational ejection far beyond the zone of formation. Thus, all giant planets might have alternately turned (starting with Jupiter and ending with the most distant Neptune in accordance with the chronology of their formation) into "transporters" of small bodies of rock-ice composition from their zones of formation to other regions of the early Solar System including the MBA, where they now could be observed as active asteroids.