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We explore the evolution of the eccentricity of an accretion disc perturbed by an embedded planet whose mass is sufficient to open a large gap in the disc. Various methods for representing the orbit-averaged motion of an eccentric disc are…

Earth and Planetary Astrophysics · Physics 2017-03-29 Jean Teyssandier , Gordon I. Ogilvie

We investigate the response of an accretion disk to the presence of a perturbing protoplanet embedded in the disk through time dependent hydrodynamical simulations. The disk is treated as a two-dimensional viscous fluid and the planet is…

Astrophysics · Physics 2009-11-11 Wilhelm Kley , Gerben Dirksen

Gravitational forces are expected to excite spiral density waves in protoplanetary disks, disks of gas and dust orbiting young stars. However, previous observations that showed spiral structure were not able to probe disk midplanes, where…

Planets can carve gaps in the surface density of protoplanetary discs. The formation of these gaps can reduce the corotation torques acting on the planets. In addition, gaps can halt the accretion of solids onto the planets as dust and…

Earth and Planetary Astrophysics · Physics 2022-11-30 F. J. Sanchez-Salcedo , R. O. Chametla , O. Chrenko

We derive a simple, accurate, non-linear, global equation governing spiral density waves in thin, non-self-gravitating, inviscid accretion discs. These discs may have any slowly varying surface density or temperature profile. For specific…

Earth and Planetary Astrophysics · Physics 2025-12-15 Joshua J. Brown , Gordon I. Ogilvie

Extrasolar debris disks are detected by observing dust, which is thought to be released during planetesimal collisions. This implies that planetesimals are dynamically excited ("stirred"), such that collisions are sufficiently common and…

Earth and Planetary Astrophysics · Physics 2023-11-20 Tyson Costa , Tim D. Pearce , Alexander V. Krivov

The velocity dispersion, or eccentricity distribution, of protoplanets interacting with planetesimals is set by a balance between dynamical friction and viscous stirring. We calculate analytically the eccentricity distribution function of…

Astrophysics · Physics 2008-11-26 Benjamin F. Collins , Re'em Sari

The modestly eccentric and non-coplanar orbits of the giant planets pose a challenge to solar system formation theories which generally indicate that the giant planets emerged from the protoplanetary disk in nearly perfectly circular and…

Earth and Planetary Astrophysics · Physics 2025-11-06 Garett Brown , Renu Malhotra , Hanno Rein

With an average eccentricity of about 0.29, the eccentricity distribution of extrasolar planets is markedly different from the solar system. Among other scenarios considered, it has been proposed that eccentricity may grow through…

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

Radial drift of solid particles in the protoplanetary disk is often invoked as a threat to planet formation, as it removes solid material from the disk before it can be assembled into planets. However, it may also concentrate solids at…

Earth and Planetary Astrophysics · Physics 2024-05-02 Kedron Silsbee

We investigate the heating of protoplanetary disks caused by shocks associated with spiral density waves induced by an embedded planet. Using two-dimensional hydrodynamical simulations, we explore the dependence of shock heating rates on…

Earth and Planetary Astrophysics · Physics 2024-11-21 Tomohiro Ono , Tatsuki Okamura , Satoshi Okuzumi , Takayuki Muto

More than a dozen young stars host spiral arms in their surrounding protoplanetary disks. The excitation mechanisms of such arms are under debate. The two leading hypotheses -- companion-disk interaction and gravitational instability (GI)…

We calculate global $m=1$ modes with low pattern speed corresponding to introducing a finite eccentricity into a protoplanetary disc. We consider disc models which are either isolated or contain one or two protoplanets orbiting in an inner…

Astrophysics · Physics 2009-11-07 J. C. B. Papaloizou

In a population of multiple protostellar systems with discs, the sub-population of circumbinary discs whose orbital plane is highly misaligned with respect to the binary's orbital plane constrains the initial distribution of orbital…

Earth and Planetary Astrophysics · Physics 2024-01-09 Simone Ceppi , Nicolás Cuello , Giuseppe Lodato , Cristiano Longarini , Daniel J. Price , Daniel Elsender , Matthew R. Bate

We investigate the accretion flow around a giant planet using two-dimensional hydrodynamical simulations by studying the local region of accretion disk around the planet. The results show that, when the initial orbit of the planet embedded…

Earth and Planetary Astrophysics · Physics 2024-10-29 Wenshuai Liu

Giant planets embedded in circumstellar discs are expected to open gaps in these discs. We examine the vertical structure of the gap edges. We find that the planet excites spiral arms with significant (Mach number of a half) vertical motion…

Astrophysics · Physics 2009-11-13 R. G. Edgar , A. C. Quillen

By means of high resolution hydrodynamical, three-dimensional calculations with nested-meshes, we evaluate the eccentricity reached by a low-mass, luminous planet embedded in an inviscid disc with constant thermal diffusivity and subjected…

Earth and Planetary Astrophysics · Physics 2021-12-06 David A. Velasco-Romero , Frédéric S. Masset , Romain Teyssier

Theories of planet formation predict the birth of giant planets in the inner, dense, and gas-rich regions of the circumstellar disks around young stars. These are the regions from which strong CO emission is expected. Observations have so…

Solar and Stellar Astrophysics · Physics 2015-05-20 Zs. Regaly , L. Kiss , Zs. Sandor , C. P. Dullemond

During the process of planet formation, the planet-discs interactions might excite (or damp) the orbital eccentricity of the planet. In this paper, we present two long ($t\sim 3\times 10^5$ orbits) numerical simulations: (a) one (with a…

Earth and Planetary Astrophysics · Physics 2025-05-19 Enrico Ragusa , Giovanni Rosotti , Jean Teyssandier , Richard Booth , Cathie J. Clarke , Giuseppe Lodato

We develop a simple model of planetary formation, focusing our attention on those planets with masses less than 10 Earth masses and studying particularly the primordial spin parameters of planets resulting from the accretion of…

Earth and Planetary Astrophysics · Physics 2015-05-18 Yamila Miguel , Adrián Brunini