Orbital Evolution and Migration of Extrasolar Planets
D. E. Trilling (LPL), W. Benz (LPL & Steward Observatory), T. Guillot (Univ. of Reading), J. I. Lunine, W. B. Hubbard (LPL), A. Burrows (Steward Observatory)
Giant planets in circumstellar
disks can migrate inward from their initial (formation)
positions. Migration is caused by inward torques between
the planet and the disk; by
outward torques between the planet and
the spinning star; and by outward
torques due to Roche lobe overflow
and mass loss
from the planet. Summing torques on planets
in disks with various physical
parameters, we find that Jupiter-mass
planets can stably arrive and survive at small
heliocentric distances. Inward
migration timescales can be
approximately equal to or less
than disk lifetimes and star spindown
timescales. Therefore,
the range of fates of Jupiter-mass planets
is broad, and generally comprises three classes:
(I) planets which migrate inward too rapidly and lose all
their mass due to Roche
lobe overflow; (II) planets which migrate inward and survive
in very small orbits; and (III) planets which do not
migrate very far.
Some, but not all, of the
planets in Class II lose mass
during their evolution and
migration times, resulting
in planets with final
masses smaller than their initial masses.
For example, in our model, we produce
planets similar to 51 Peg b which
have lost
75% of their
initial mass.
The observed extrasolar
planets, both those with extremely
small semi-major axes (51 Peg b at 0.05 AU,
Boo b (0.046 AU),
And b (0.057 AU),
and 55 Cnc b (0.11 AU)) and those with
more moderate semi-major axes
(
Cor Bor b (0.23 AU),
47 UMa b (2.1 AU)) form
a subset of the potential
outcomes of the system,
in that Jupiter-mass objects
can stably survive in orbits
with a wide range of semi-major
axes. Our numerical model produces
planets which have similar
characteristics to the observed
planets, as well as planets
similar to Jupiter, and many
intermediate cases.
Since Jupiters can stably
migrate to various orbital
separations, we predict that, as planetary
detection techniques improve, Jupiter-mass planets
will be found in a wide range of orbits, from much
less than 1 AU to several AU or more.