The beta Pictoris circumstellar disk, like others, seems to exhibit an
inner clearing zone, at typical distances of 1-50 AU from the star. W
e investigate the possibility that this void is caused by a planet emb
edded in the disk. We have implemented on a Connection Machine a code
which simultaneously integrates the motions of 8192 particles. These a
re submitted to Poynting-Robertson (PR) drag, while being perturbed by
a planet orbiting at 20 AU from the star. The free parameters are the
planetary mass, the planetary orbital eccentricity, and the particle
size. Above a critical planet mass of approximately 10(-5) stellar mas
ses (approximately 5 Earth masses, or 1/3 Uranian masses), the planet
is able to trap particles in outer mean motion resonances, for time sc
ales comparable to, or larger than, the PR decay time. No permament tr
apping is observed, however. Once they escape the resonances, the part
icles rapidly decay onto the star, on highly eccentric orbits. A moder
ate planetary orbital eccentricity (10(-2)) can create large arclike s
tructures in the disk. A depleted region corotating with the planet, a
nd just outside it, is also observed. We show finally that these proce
sses can create a steady state clearing zone extending inside the plan
et orbit. We emphasize that the structures excited on the disk by a pl
anet could be a way to reveal bodies otherwise invisible by direct ima
gery. C 1994 Academic Press, Inc.