1/1 resonant periodic orbits in three dimensional planetary systems
2014 ◽
Vol 9
(S310)
◽
pp. 82-83
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Keyword(s):
AbstractWe study the dynamics of a two-planet system, which evolves being in a 1/1 mean motion resonance (co-orbital motion) with non-zero mutual inclination. In particular, we examine the existence of bifurcations of periodic orbits from the planar to the spatial case. We find that such bifurcations exist only for planetary mass ratios $\rho=\frac{m_2}{m_1}<0.0205$. For ρ in the interval 0<ρ<0.0205, we compute the generated families of spatial periodic orbits and their linear stability. These spatial families form bridges, which start and end at the same planar family. Along them the mutual planetary inclination varies. We construct maps of dynamical stability and show the existence of regions of regular orbits in phase space.
Keyword(s):
1999 ◽
Vol 172
◽
pp. 411-412
KNOTTED PERIODIC SOLUTIONS OF A LINEAR NONAUTONOMOUS SYSTEM AND SOME RELATED THREE-DIMENSIONAL FLOWS
2012 ◽
Vol 22
(11)
◽
pp. 1250280
1989 ◽
Vol 10
(4)
◽
pp. 367-380
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2013 ◽
Vol 115
(2)
◽
pp. 161-184
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2017 ◽
Vol 148
(2)
◽
pp. 327-340
2019 ◽
Vol 629
◽
pp. A126
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Keyword(s):
2018 ◽
Vol 25
(4)
◽
pp. 611-627
1998 ◽
Vol 59
(3)
◽
pp. 537-541
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Keyword(s):
Periodic orbits in biological molecules: Phase space structures and selectivity in alanine dipeptide
2007 ◽
Vol 126
(17)
◽
pp. 175101
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Keyword(s):