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NASA's Kepler mission discovered $\sim700$ planets in multi-planet systems containing 3 or more transiting bodies, many of which are super-Earths and mini-Neptunes in compact configurations. Using $N$-body simulations, we examine the in…

Earth and Planetary Astrophysics · Physics 2020-01-08 Sanson T. S. Poon , Richard P. Nelson , Seth A. Jacobson , Alessandro Morbidelli

When fitting N-body models to astronomical data - including transit times, radial velocity, and astrometric positions at observed times - the derivatives of the model outputs with respect to the initial conditions can help with model…

Earth and Planetary Astrophysics · Physics 2021-09-01 Eric Agol , David M. Hernandez , Zachary Langford

We present implementations of a fourth-order symplectic integrator on graphic processing units for three $N$-body models with long-range interactions of general interest: the Hamiltonian Mean Field, Ring and two-dimensional self-gravitating…

Computational Physics · Physics 2012-12-04 Tarcísio M. Rocha Filho

Studies of high-multiplicity, tightly-packed planetary systems suggest that dynamical instabilities are common and affect both the orbits and planet structures, where the compact orbits and typically low densities make physical collisions…

Earth and Planetary Astrophysics · Physics 2018-01-10 Jason Hwang , Sourav Chatterjee , James Lombardi , Jason Steffen , Frederic Rasio

The formation of gas giant planets is assumed to be preceded by the emergence of solid cores in the conventional sequential-accretion paradigm. This hypothesis implies that the presence of earth-like planets can be inferred from the…

Astrophysics · Physics 2009-11-13 J. L. Zhou , S. J. Aarseth , D. N. C. Lin , M. Nagasawa

We present a novel hierarchical formulation of the fourth-order forward symplectic integrator and its numerical implementation in the GPU-accelerated direct-summation N-body code FROST. The new integrator is especially suitable for…

Instrumentation and Methods for Astrophysics · Physics 2021-03-12 Antti Rantala , Thorsten Naab , Volker Springel

Previous research suggests that impacts between planetary embryos and planetesimals during the late stages of planet formation can often determine the percentages of core and mantle material that compose the newly formed planets in a…

Earth and Planetary Astrophysics · Physics 2024-06-14 Noah Ferich , Anna C. Childs , Jason H. Steffen

In the late stages of terrestrial planet formation, pairwise collisions between planetary-sized bodies act as the fundamental agent of planet growth. These collisions can lead to either growth or disruption of the bodies involved and are…

Earth and Planetary Astrophysics · Physics 2020-12-03 Miles Timpe , Maria Han Veiga , Mischa Knabenhans , Joachim Stadel , Stefano Marelli

In the late stage of terrestrial planet formation, planets are predicted to undergo pairwise collisions known as giant impacts. Here we present a high-resolution database of giant impacts for differentiated colliding bodies of iron-silicate…

Previous models of the combined growth and migration of protoplanets needed large ad hoc reduction factors for the type I migration rate as found in the isothermal approximation. In order to eliminate these factors, a simple semi-analytical…

Earth and Planetary Astrophysics · Physics 2015-05-27 C. Mordasini , K. -M. Dittkrist , Y. Alibert , H. Klahr , W. Benz , T. Henning

Stellar systems are broadly divided into collisional and non-collisional. The latter are large-N systems with long relaxation timescales and can be simulated disregarding two-body interactions, while either computationally expensive direct…

Astrophysics of Galaxies · Physics 2021-05-05 Pierfrancesco Di Cintio , Mario Pasquato , Hyunwoo Kim , Suk-Jin Yoon

Direct gravitational simulations of n-body systems have a time complexity O(n^2), which gets computationally expensive as the number of bodies increases. Distributing this workload to multiple cores significantly speeds up the computation…

Earth and Planetary Astrophysics · Physics 2022-08-30 Dhananjay Saikumar

The reproducibility of experiments is one of the main principles of the scientific method. However, numerical N-body experiments, especially those of planetary systems, are currently not reproducible. In the most optimistic scenario, they…

Earth and Planetary Astrophysics · Physics 2017-01-26 Hanno Rein , Daniel Tamayo

We show that the assembly of the Solar System terrestrial planets can be successfully modelled with all of the mass initially confined to a narrow annulus between 0.7 and 1.0 AU. With this configuration, analogues of Mercury and Mars often…

Earth and Planetary Astrophysics · Physics 2015-05-13 Brad Hansen

The planetary population synthesis method aims at comprehensively testing planet formation theories against observational evidence and providing theoretical sets of planets to help interpret observations and inform instrument development.…

Earth and Planetary Astrophysics · Physics 2024-10-02 Remo Burn , Christoph Mordasini

Recent three-dimensional magnetohydrodynamical simulations have identified a disk wind by which gas materials are lost from the surface of a protoplanetary disk, which can significantly alter the evolution of the inner disk and the…

Earth and Planetary Astrophysics · Physics 2015-07-01 Masahiro Ogihara , Hiroshi Kobayashi , Shu-ichiro Inutsuka , Takeru K. Suzuki

In the last few years, the so-called "Nice model" has got a significant importance in the study of the formation and evolution of the solar system. According to this model, the initial orbital configuration of the giant planets was much…

Earth and Planetary Astrophysics · Physics 2015-05-28 O. M. Guilera , A. Fortier , A. Brunini , O. G. Benvenuto

Planetary embryos embedded in a gas disc suffer a decay in semimajor axis -- type I migration -- due to the asymmetric torques produced by the interior and exterior wakes raised by the body (Goldreich & Tremaine 1980; Ward 1986). This…

Astrophysics · Physics 2008-11-26 D. S. McNeil , M. J. Duncan , H. F. Levison

Previous work concerning planet formation around low-mass stars has often been limited to large planets and individual systems. As current surveys routinely detect planets down to terrestrial size in these systems, a more holistic approach…

Earth and Planetary Astrophysics · Physics 2021-12-08 Remo Burn , Martin Schlecker , Christoph Mordasini , Alexandre Emsenhuber , Yann Alibert , Thomas Henning , Hubert Klahr , Willy Benz

We present Swarm-NG, a C++ library for the efficient direct integration of many n-body systems using highly-parallel Graphics Processing Unit (GPU), such as NVIDIA's Tesla T10 and M2070 GPUs. While previous studies have demonstrated the…

Earth and Planetary Astrophysics · Physics 2015-06-11 Saleh Dindar , Eric B. Ford , Mario Juric , Young In Yeo , Jianwei Gao , Aaron C. Boley , Benjamin Nelson , Jorg Peters
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