Repeated time-variable redshifted absorption features in the spectrum
of beta Pictoris (beta Pic> have been attributed to comet-like bodies
falling toward the star, when evaporating in its immediate vicinity. T
his model explains now a large number of observational characteristics
, but the exact mechanism that could generate these numerous star-graz
ers is still controversial, even if planetary perturbations are though
t to be the basic process. The different models proposed up to now are
here reviewed, and we discuss in particular a recent one, involving t
he effect of secular resonances in the beta Pic system. We stress that
it seems highly improbable that such a mechanism could apply to the b
eta Pic case, because the extremely strong power of secular resonances
is connected to the very specific structure of the Solar System. Ther
efore, the secular resonance mechanism is highly non-generic. Converse
ly, we propose a model involving the eccentricity-pumping effect of me
an-motion resonances with a massive planet on a moderately eccentric o
rbit. We show in particular that the 4:1 mean-motion resonance is a ve
ry active source of star-grazers as soon as the eccentricity of the pe
rturbing planet is greater than or similar to 0.05, while the 3:1 mean
-motion resonance is less efficient. We stress that this mechanism is
very generic. These theoretical predictions are confirmed by numerical
integrations using the Extended Schubart Integrator. The time-scale o
f the process is discussed, and we show that if the eccentricity of th
e perturbing planet fluctuates, due to secular perturbations, this tim
e-scale is compatible with the age of beta Pic's system. (C) 1996 Acad
emic Press, Inc.