Gas Drag Effects on Planetesimals Evolving Under the Influence of Jupiter and Saturn
S. J. Kortenkamp, G. W. Wetherill (Carnegie Institution of Washington - DTM)
The ``core-mantle'' accretion model for the formation of giant gaseous
planets requires about
-
years for Jupiter
and Saturn to attain their present masses. By this time accretion
in the inner Solar System is thought to have been well under way,
with perhaps a few dozen lunar to martian sized bodies
distributed in the terrestrial planet region. However, an alternative
model of giant planet formation, involving gravitational
instability of the solar nebula, suggests that Jupiter and Saturn
may have formed as quickly as
years
(Boss, Science 1997, in press).
If this was the case then the evolution of small planetesimals
in the inner Solar System would have proceeded while enveloped
in the solar nebula and under the gravitational influence of Jupiter
and Saturn. We have begun investigating just such a scenario in
order to determine whether the presence of Jupiter and Saturn helps
or hinders terrestrial planet formation.
We use an initial population of test particles on orbits near 1 AU
(
AU) with low eccentricity and inclination
and randomly distributed arguments
of pericenter and longitudes of node. We find that the secular
perturbations of Jupiter and Saturn force
the eccentricities and inclinations to values as high as
and
and impose a common argument of pericenter and
longitude of node on all of the orbits. While gas drag does
not effectively reduce the forced e and I due to Jupiter and
Saturn it does act to reduce the proper e and I due to the
initial distribution. After decaying 0.05 AU in semi-major
axis the mutual inclination of the individual orbits
with respect to each other drops from
the initial range
to
and the dispersion
in eccentricity drops by about a factor of two.
The encounter velocities of bodies traveling along these
nearly coplaner and concentric orbits remain low
(a few meters per second) despite the considerable
forced eccentricities. Our preliminary finding is that
gas drag can prevent encounter velocities from growing to
kilometer per second levels, even in the presence of significant
perturbations from Jupiter and Saturn.