2012
DOI: 10.1051/0004-6361/201118356
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Dynamical analysis and constraints for the HD 196885 system

Abstract: The HD 196885 system is composed of a binary star and a planet orbiting the primary. The orbit of the binary is fully constrained by astrometry, but for the planet the inclination with respect to the plane of the sky and the longitude of the node are unknown. Here we perform a full analysis of the HD 196885 system by exploring the two free parameters of the planet and choosing different sets of angular variables. We find that the most likely configurations for the planet are either nearly coplanar orbits (prog… Show more

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Cited by 19 publications
(19 citation statements)
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“…Therefore, we performed one simulation where the eccentricity is damped, but the semi-major axis is held constant. In this unrealistic situation, one observe that the planet migrates into the equilibrium like in Giuppone et al (2012). As a consequence, it seems that there is no inconsistency between the two models, but it becomes clear that the semi-major axis evolution plays an important role in destabilizing the Lidov-Kozai equilibria.…”
Section: Effect Of the Argument Of Periastronmentioning
confidence: 99%
See 1 more Smart Citation
“…Therefore, we performed one simulation where the eccentricity is damped, but the semi-major axis is held constant. In this unrealistic situation, one observe that the planet migrates into the equilibrium like in Giuppone et al (2012). As a consequence, it seems that there is no inconsistency between the two models, but it becomes clear that the semi-major axis evolution plays an important role in destabilizing the Lidov-Kozai equilibria.…”
Section: Effect Of the Argument Of Periastronmentioning
confidence: 99%
“…As a consequence, it seems that there is no inconsistency between the two models, but it becomes clear that the semi-major axis evolution plays an important role in destabilizing the Lidov-Kozai equilibria. It appears that it cannot be neglected in future studies on the migration of the initial orbits as in Giuppone et al (2012).…”
Section: Effect Of the Argument Of Periastronmentioning
confidence: 99%
“…Abrupt changes in ∆e are often traces for the presence of resonances, while regions with large variations in ∆e are more sensitive to perturbations, thus are very likely chaotic (e.g. Giuppone et al 2012;Martí et al 2013).…”
Section: Methodsmentioning
confidence: 99%
“…Indeed, in the restricted quadrupolar problem, the Hamiltonian only depends on the product e 2 cos 2ω (e.g. Kozai 1962;Giuppone et al 2012), so the initial value of ω does not change the energy at the quadrupole order, which is the dominating term. We also observe that retrograde coplanar orbits are stable for larger values of semimajor axis than prograde coplanar orbits (as also noted by Holman & Wiegert 1999;Quarles & Lissauer 2016).…”
Section: Semimajor Axis Versus Mutual Inclinationmentioning
confidence: 99%
“…As a consequence, the mutual inclination, i, and the argument of the pericentre of the inner orbit measured from the line of nodes of the two orbits, ω, are also undetermined. These two parameters are critical to understanding the full dynamics of the system, but we can still place some constraints on their values (Giuppone et al 2012):…”
Section: Dynamical Evolutionmentioning
confidence: 99%