Four major models of cometary meteoroid ejection are developed and use
d to simulate plausible starting conditions for the formation of the P
erseid stream. Ln addition to these physical variants, three different
choices for initial meteoroid density (100, 800, and 4000 kg m(-3)) a
re used to produce a total of 12 distinct initial models. The developm
ent and evolution of the stream are simulated for each model by ejecti
ng 10(4) test meteoroids at seven distinct mass categories over the fu
ll are of 109P's orbit inside 4 AU at each perihelion passage from 59
to 1862 AD. All test meteoroids are followed to their descending nodes
for times closest to the recent perihelion passage of 109P (1992). In
addition to these integrations, we have also performed long term inte
grations over the interval from 5000 to 10(5) years ago using two plau
sible sets of starting orbits for 109P over this interval. We find tha
t the choice of cone angle and precise cutoff distance for ejection ma
ke only minor modifications to the overall structure of the stream as
seen from Earth. The assumed density for the meteoroids has a major in
fluence on the present activity of the stream as radiation pressure mo
ves nodal points further outside Earth's orbit and hence decreases the
probability of delivery for lower density meteoroids. The initial eje
ction velocities strongly influence the final distributions observed f
rom Earth for the first approximate to 5 revolutions after ejection, a
t which point planetary perturbations and radiation effects become mor
e important to subsequent development. The minimum distance between th
e osculating orbit of 109P at the epoch of ejection and the Earth's or
bit is the principal determinant of subsequent delivery of meteoroids
to the Earth. The best fit to the observed present flux location and p
eak strengths are found from models using Jones (1995) ejection veloci
ty algorithm with an r(-05) dependence and densities between (0.1 and
0.8 g cm(-3). The recent activity outburst maxims observed for the Per
seids from 1989 to present show a systematic shift in location from ye
ar to year, which is explained by changing ages of the primary compone
nt of the meteoroids malting up the outbursts. Specifically, it is fou
nd that from 1988 to 1990 ejecta from 1610 and 1737 are the dominant p
opulation, while 1862 and 1610 are the primary material encountered in
the outbursts from 1991 to 1994. From 1995 to 1997 the most prevalent
populations are ejections from 1479 and 1079. The older populations t
end to shift the locations of the maximums to higher solar longitudes.
A discrepancy which is present for both the 1993 and 1994 peak locati
ons of 1-2 h between the observed and modeled flux profiles is most li
kely the result of emissions from 1862, which were observed to have a
large component of their velocity out of the cometary orbital plane. T
he cause of Perseid activity outbursts is found to be direct planetary
gravitational perturbations from Jupiter and Saturn that shift the no
des of stream meteoroids inward and allow them to collide with Earth.
The last such perturbations was due to Jupiter in 1991, and this effec
t combined with the return of 109P in 1992 produced the strong display
s from 1991 to 1994. On average, it is found that the Perseids observe
d each year in the core portion of the stream left the parent comet (2
5 +/- 10) x 10(3) years ago. From the modeling, the total age of the s
tream is estimated to be on the order of 10(5) years. From the simulat
ions over the last 2000 years, the progression rate of the node of the
stream is estimated at (2.2 +/- 0.2) x 10(-4) degrees/annum.The effec
t of terrestrial perturbations has been evaluated from the long-term i
ntegrations and found to play only a minor role in the stream's develo
pment, producing a 5-10% increase in the stream's nodal and radiant sp
read as compared to an identical simulation without the Earth. The pri
mary sinks for the stream are found to be hyperbolic ejection due to J
upiter land to a smaller degree Saturn) as well as attainment of sungr
azing states. Both the relative and absolute contributions of these tw
o loss mechanisms to the decay of the stream is found to be highly dep
endent on the assumed cometary starting orbits, with as much as 35% of
initially released stream meteoroids removed by hyperbolic ejection a
fter 10(5) years for the smallest Perseids on some starting orbits to
less than 1% removed after the same time for larger meteoroids on othe
r potential seed orbits. On average, it requires 40-80 x 10(3) years f
or a noticeable fraction of the initial population (>0.1%) to be remov
ed by these mechanisms, depending on the chosen starting orbits. (C) 1
998 Academic Press.