  Active asteroid (6478) Gault sheds mass independent of location along its
orbit. Rotational instability is considered to induce the observed activities.
If this is the case, because Gaults breakup event has not been detected,
surface failure is likely, implying its surface materials are constantly
ejected while its major body remains intact. Given this scenario, we first
constrain Gaults bulk cohesive strength. We then characterize heliocentric
trajectories of ejected particles over thousands of years. The results show
that Gault may be sensitive to structural failure at the current spin period (~
2.5 hr). Gaults bulk density needs to be below 1.75 g/cm^3 in order for
particles on the equatorial surface to be shed due to centrifugal forces. In
this case, Gault requires cohesive strength of at least ~ 200 Pa to maintain
the structure at the center, whereas the surface strength needs to be less than
~ 100 Pa to induce mass shedding. This suggests that Gaults structure may
consist of a weak surface layer atop a strong core. The trajectories of dust
ejected from Gault depend on how efficiently they are accelerated by solar
radiation pressure. Escaped particle clouds with sizes on the order of 100
micrometers could collide with Gault after about 700 to 5300 years with speeds
of ~ 0.2 km/sec. This implies a temporal increase in the impact flux and
complex interactions between the ejected particles and their host body.
