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Stellar obliquities, or spin-orbit angles, prevalent in exoplanet systems, can impose important constraints on their formation and evolution histories. Recent studies suggest that primordial misalignments between protoplanetary disks and…

Earth and Planetary Astrophysics · Physics 2025-08-07 Tao Fu , Yue Wang , Weiduo Hu

A test particle orbit around an eccentric binary has two stationary states in which there is no nodal precession: coplanar and polar. Nodal precession of a misaligned test particle orbit centres on one of these stationary states. A low mass…

Earth and Planetary Astrophysics · Physics 2022-10-26 Charles P. Abod , Cheng Chen , Jeremy Smallwood , Ian Rabago , Rebecca G. Martin , Stephen H. Lubow

This chapter concerns the long-term dynamical evolution of planetary systems from both theoretical and observational perspectives. We begin by discussing the planet-planet interactions that take place within our own Solar System. We then…

Earth and Planetary Astrophysics · Physics 2015-06-18 Melvyn B. Davies , Fred C. Adams , Philip Armitage , John Chambers , Eric Ford , Alessandro Morbidelli , Sean N. Raymond , Dimitri Veras

In the Solar System, planets have a small inclination with respect to the equatorial plane of the Sun, but there is evidence that in extrasolar systems the inclination can be very high. This spin-orbit misalignment is unexpected, as planets…

Earth and Planetary Astrophysics · Physics 2014-01-09 Bertram Bitsch , Aurélien Crida , Anne-Sophie Libert , Elena Lega

Binaries occur in many astrophysical systems, from young protostellar binaries in star forming regions to supermassive black hole binaries in galaxy centers. In many cases, a circumbinary disk of gas forms around the binary with an orbit…

Earth and Planetary Astrophysics · Physics 2026-01-12 Cheng Chen , Philip J. Armitage , C. J. Nixon

Recent observations have shown that in many exoplanetary systems the spin axis of the parent star is misaligned with the planet's orbital axis. These have been used to argue against the scenario that short-period planets migrated to their…

Earth and Planetary Astrophysics · Physics 2015-05-19 Dong Lai , Francois Foucart , Douglas N. C. Lin

Binary systems are ubiquitous in the Universe and often host circumbinary discs that are misaligned with the binary orbital plane. Such misalignments can affect disc evolution and binary accretion variability. We here present 3D…

Earth and Planetary Astrophysics · Physics 2026-04-17 Ruiqi Yang , Jeremy L. Smallwood , Hongping Deng , Ya-Ping Li , Alessia Franchini , Ruobing Dong , Shang-Fei Liu

Recent observations of several protoplanetary discs have found evidence of departures from flat, circular motion in the inner regions of the disc. One possible explanation for these observations is a disc warp, which could be induced by a…

Earth and Planetary Astrophysics · Physics 2018-08-29 Rebecca Nealon , Giovanni Dipierro , Richard Alexander , Rebecca Martin , Chris Nixon

It is usually thought that viscous torque works to align a circumbinary disk with the binary's orbital plane. However, recent numerical simulations suggest that the disk may evolve to a configuration perpendicular to the binary orbit…

Earth and Planetary Astrophysics · Physics 2017-10-11 J. J. Zanazzi , Dong Lai

Many hot Jupiter (HJ) systems have been observed to have their stellar spin axis misaligned with the planet's orbital angular momentum axis. The origin of this spin-orbit misalignment and the formation mechanism of HJs remain poorly…

Earth and Planetary Astrophysics · Physics 2018-04-27 J. J. Zanazzi , Dong Lai

In a recent paper Martin & Lubow showed that a circumbinary disc around an eccentric binary can undergo damped nodal oscillations that lead to the polar (perpendicular) alignment of the disc relative to the binary orbit. The disc angular…

Earth and Planetary Astrophysics · Physics 2018-07-04 Rebecca G. Martin , Stephen H. Lubow

A disk around one component of a binary star system with sufficiently high inclination can undergo Kozai-Lidov (KL) oscillations during which the disk inclination and disk eccentricity are exchanged. Previous studies show that without a…

Earth and Planetary Astrophysics · Physics 2021-01-27 Jeremy L. Smallwood , Rebecca G. Martin , Stephen H. Lubow

While planets in the solar system only have a low inclination with respect to the ecliptic there is mounting evidence that in extrasolar systems the inclination can be very high, at least for close-in planets. One process to alter the…

Earth and Planetary Astrophysics · Physics 2014-01-09 Bertram Bitsch , Willy Kley

As planets form and grow within gaseous protoplanetary disks, the mutual gravitational interaction between the disk and planet leads to the exchange of angular momentum, and migration of the planet. We review current understanding of…

Earth and Planetary Astrophysics · Physics 2015-06-04 W. Kley , R. P. Nelson

Recent discoveries of strongly misaligned transiting exoplanets pose a challenge to the established planet formation theory which assumes planetary systems to form and evolve in isolation. However, the fact that the majority of stars…

Earth and Planetary Astrophysics · Physics 2012-02-01 Ingo Thies , Pavel Kroupa , Simon P. Goodwin , Dimitris Stamatellos , Anthony P. Whitworth

We use three-dimensional hydrodynamical simulations to show that an initially mildly misaligned circumbinary accretion disk around an eccentric binary can evolve to an orientation that is perpendicular to the orbital plane of the binary…

Earth and Planetary Astrophysics · Physics 2017-02-08 Rebecca G. Martin , Stephen H. Lubow

Circumbinary disks are found in a variety of astrophysical scenarios, spanning binary star formation to accreting supermassive black hole binaries. The interaction with a circumbinary disk can yield opposite effects on the binary orbit…

Many extrasolar planets follow orbits that differ from the nearly coplanar and circular orbits found in our solar system; orbits may be eccentric or inclined with respect to the host star's equator, and the population of giant planets…

Solar and Stellar Astrophysics · Physics 2014-08-01 Eric L. N. Jensen , Rachel Akeson

We investigate the flow of material from highly misaligned and polar circumbinary discs that feed the formation of circumstellar discs around each binary component. With three-dimensional hydrodynamic simulations we consider equal mass…

Earth and Planetary Astrophysics · Physics 2023-02-08 Jeremy L. Smallwood , Rebecca G. Martin , Stephen H. Lubow

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