@Article{CarvalhoMouMorPraWin:2016:SwPrRe,
author = "Carvalho, Jean P. S. and Mour{\~a}o, D. C. and Moraes, Rodolpho
Vilhena de and Prado, Antonio Fernando Bertachini de Almeida and
Winter, O. C.",
affiliation = "{Universidade Federal do Rec{\^o}cavo da Bahia (UFRB)} and
{Universidade Estadual Paulista (UNESP)} and {Universidade Federal
de S{\~a}o Paulo (UNIFESP)} and {Instituto Nacional de Pesquisas
Espaciais (INPE)} and {Universidade Estadual Paulista (UNESP)}",
title = "Exoplanets in binary star systems: on the switch from prograde to
retrograde orbits",
journal = "Celestial Mechanics and Dynamical Astronomy",
year = "2016",
volume = "124",
number = "1",
pages = "73--96",
month = "Jan.",
keywords = "Three-body problem, Orbital perturbation, Exoplanets, Flip of
inclination, Lidov-Kozai mechanism.",
abstract = "The eccentric Kozai-Lidov mechanism, based on the secular theory,
has been proposed as a mechanism that plays an important role in
producing orbits that switch from prograde to retrograde. In the
present work we study the secular dynamics of a triple system
composed of a Sun-like central star and a Jupiter-like planet,
which are under the gravitational influence of another perturbing
star (brown dwarf). The perturbation potential is developed in
closed form up to the fifth order in a small parameter (), where
is the semimajor axis of the extrasolar planet and is the
semimajor axis of the perturbing star. To eliminate the
short-period terms of the perturbation potential, the
double-average method is applied. In this work we do not eliminate
the nodes, a standard method in the literature, before deriving
the equations of motion. The main goal is to study the effects of
the higher-order terms of the expansion of the perturbing force
due to the third body in the orbital evolution of the planet. In
particular, we investigate the inclination and the shape
(eccentricity) of these orbits. We show the importance of the
higher-order terms in changing the inversion times of the flip,
i.e., the times where the inclination of the inner planet flips
from prograde to retrograde trajectories. We also show the
dependence of the first flip with respect to the semimajor axis
and eccentricity of the orbit of the planet. The general
conclusion is that the analytical model increases its accuracy
with the inclusion of higher-order terms. We also performed full
numerical integrations using the Bulirsch-Stoer method available
in the Mercury package for comparison with the analytical model.
The results obtained with the equations developed in this work are
in accordance with direct numerical simulations.",
doi = "10.1007/s10569-015-9650-3",
url = "http://dx.doi.org/10.1007/s10569-015-9650-3",
issn = "0923-2958",
label = "self-archiving-INPE-MCTI-GOV-BR",
language = "en",
targetfile = "carvalho.pdf",
urlaccessdate = "27 abr. 2024"
}