TY - JOUR
T1 - Vertical instability and inclination excitation during planetary migration
AU - Voyatzis, G.
AU - Antoniadou, K. I.
AU - Tsiganis, K.
PY - 2014/1/1
Y1 - 2014/1/1
N2 - We consider a two-planet system migrating under the influence of
dissipative forces that mimic the effects of gas-driven (Type II)
migration. It has been shown that, in the planar case, migration leads
to resonant capture after an evolution that forces the system to follow
families of periodic orbits. Starting with planets that differ slightly
from a coplanar configuration, capture can, also, occur and,
additionally, excitation of planetary inclinations has been observed in
some cases. We show that excitation of inclinations occurs, when the
planar families of periodic orbits, which are followed during the
initial stages of planetary migration, become vertically unstable. At
these points, vertical critical orbits may give rise to generating stable families of 3D
periodic orbits, which drive the evolution of the migrating planets to
non-coplanar motion. We have computed and present here the vertical
critical orbits of the 2/1 and 3/1
resonances, for various values of the planetary mass ratio. Moreover,
we determine the limiting values of eccentricity for which the
“inclination resonance” occurs.
AB - We consider a two-planet system migrating under the influence of
dissipative forces that mimic the effects of gas-driven (Type II)
migration. It has been shown that, in the planar case, migration leads
to resonant capture after an evolution that forces the system to follow
families of periodic orbits. Starting with planets that differ slightly
from a coplanar configuration, capture can, also, occur and,
additionally, excitation of planetary inclinations has been observed in
some cases. We show that excitation of inclinations occurs, when the
planar families of periodic orbits, which are followed during the
initial stages of planetary migration, become vertically unstable. At
these points, vertical critical orbits may give rise to generating stable families of 3D
periodic orbits, which drive the evolution of the migrating planets to
non-coplanar motion. We have computed and present here the vertical
critical orbits of the 2/1 and 3/1
resonances, for various values of the planetary mass ratio. Moreover,
we determine the limiting values of eccentricity for which the
“inclination resonance” occurs.
KW - inclination excitation
KW - periodic orbits
KW - planetary systems
KW - type II migration
KW - vertical critical orbit
KW - vertical stability
U2 - 10.1007/s10569-014-9566-3
DO - 10.1007/s10569-014-9566-3
M3 - Article
AN - SCOPUS:84905720737
SN - 0923-2958
VL - 119
SP - 221
EP - 235
JO - Celestial Mechanics & Dynamical Astronomy
JF - Celestial Mechanics & Dynamical Astronomy
IS - 3-4
ER -