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One of the most remarkable properties of extrasolar planets is their high orbital eccentricities. Observations have shown that at least 20% of these planets, including some with particularly high eccentricities, are orbiting a component of…

Astrophysics · Physics 2009-11-10 G. Takeda , F. A. Rasio

Planets have been observed in tight binary systems with separations less than 20 AU. A likely formation scenario for such systems involves a dynamical capture, after which high relative inclinations are likely and may lead to Kozai…

Earth and Planetary Astrophysics · Physics 2011-02-11 Lamya Saleh , Frederic Rasio

The presence of highly eccentric extrasolar planets in binary stellar systems suggests that the Kozai effect has played an important role in shaping their dynamical architectures. However, the formation of planets in inclined binary systems…

Earth and Planetary Astrophysics · Physics 2015-05-28 Konstantin Batygin , Alessandro Morbidelli , Kleomenis Tsiganis

The orbital eccentricity of a single planet around a component of a stellar binary system with a sufficiently large mutual inclination angle is known to oscillate on a secular timescale through the Kozai mechanism. We have investigated the…

Astrophysics · Physics 2007-11-08 Genya Takeda , Ryosuke Kita , Frederic A. Rasio , Samuel M. Rubinstein

Many recent observational studies have concluded that planetary systems commonly exist in multiple-star systems. At least ~20%, and presumably a larger fraction of the known extrasolar planetary systems are associated with one or more…

Astrophysics · Physics 2009-11-13 Genya Takeda , Ryosuke Kita , Frederic A. Rasio

In this letter we consider the evolution of a planetary system around a star inside a wide binary. We simulate numerically the evolution of the planetary orbits for both co-planar and highly-inclined systems. We find that the Kozai…

Astrophysics · Physics 2008-11-26 Daniel Malmberg , Melvyn B. Davies , John E. Chambers

The Kozai mechanism often destabilises high inclination orbits. It couples changes in the eccentricity and inclination, and drives high inclination, circular orbits to low inclination, eccentric orbits. In a recent study of the dynamics of…

Astrophysics · Physics 2009-11-13 P. E. Verrier , N. W. Evans

At least two arguments suggest that the orbits of a large fraction of binary stars and extrasolar planets shrank by 1-2 orders of magnitude after formation: (i) the physical radius of a star shrinks by a large factor from birth to the main…

Astrophysics · Physics 2011-03-04 Daniel Fabrycky , Scott Tremaine

The most puzzling property of the extrasolar planets discovered by recent radial velocity surveys is their high orbital eccentricities, which are very difficult to explain within our current theoretical paradigm for planet formation.…

Astrophysics · Physics 2009-11-11 Genya Takeda , Frederic A. Rasio

In recent years many binary minor planets (BMPs) have been discovered in the Solar system. Many models have been suggested for their formation, but these encounter difficulties explaining their observed characteristics. Here we show that…

Astrophysics · Physics 2015-05-13 Hagai B. Perets , Smadar Naoz

In this paper we answer a simple question: can a misaligned circumbinary planet induce Kozai-Lidov cycles on an inner stellar binary? We use known analytic equations to analyse the behaviour of the Kozai-Lidov effect as the outer mass is…

Earth and Planetary Astrophysics · Physics 2015-11-04 David V. Martin , Amaury H. M. J. Triaud

We examine the effects of dynamical evolution in clusters on planetary systems or protoplanetary disks orbiting the components of binary stars. In particular, we look for evidence that the companions of host stars of planetary systems or…

Earth and Planetary Astrophysics · Physics 2015-05-13 Richard J. Parker , Simon P. Goodwin

The Kozai mechanism for a hierarchical triple system could reduce the merger time of inner eccentric binary emitting gravitational waves (GWs), and has been qualitatively explained with the secular theory that is derived by averaging…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Naoki Seto

The formation of close binaries has been an open question for decades. A large fraction of close binaries are in triple systems, suggesting that their formation may be associated with the Kozai-Lidov mechanism. However, this picture remains…

Solar and Stellar Astrophysics · Physics 2022-11-09 Hsiang-Chih Hwang

We study the orbital evolution of hierarchical quadruple systems composed of two binaries on a long mutual orbit, where each binary acts as a Kozai-Lidov (KL) perturber on the other. We find that the coupling between the two binaries…

Solar and Stellar Astrophysics · Physics 2014-05-28 Ondrej Pejcha , Joe M. Antognini , Benjamin J. Shappee , Todd A. Thompson

Many recent observational studies have concluded that planetary systems commonly exist in multiple-star systems. At least ~20% of the known extrasolar planetary systems are associated with one or more stellar companions. The orbits of…

Astrophysics · Physics 2009-11-13 Genya Takeda , Ryosuke Kita , Frederic A. Rasio

We study the interactions between a protostar and its circumstellar disc under the influence of an external binary companion to determine the evolution of the mutual stellar spin - disc misalignment angle. The gravitational torque on the…

Earth and Planetary Astrophysics · Physics 2015-06-18 Dong Lai

Over a broad range of initial inclinations and eccentricities an appreciable fraction of hierarchical triple star systems with similar masses are essentially unaffected by the Kozai-Lidov mechanism (KM) until the primary in the central…

Solar and Stellar Astrophysics · Physics 2015-06-04 Benjamin J. Shappee , Todd A. Thompson

We study the dynamics of a planet on an orbit inclined with respect to a disc. If the initial inclination of the orbit is larger than some critical value, the gravitational force exerted by the disc on the planet leads to a Kozai cycle in…

Earth and Planetary Astrophysics · Physics 2015-06-11 Jean Teyssandier , Caroline Terquem , John C. B. Papaloizou

In 1962, Yoshihide Kozai reported his findings on the secular dynamics of asteroids moving in orbits with high inclination and eccentricity. In contrast to the classic understanding of the stability of planetary motion in the solar system,…

Earth and Planetary Astrophysics · Physics 2025-03-12 Masanori Iye , Takashi Ito
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