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The abundances of elements in the Earth and the terrestrial planets provide the initial conditions for life and clues as to the history and formation of the Solar System. We follow the pioneering work of Bond et al. (2010) and combine…

Earth and Planetary Astrophysics · Physics 2015-06-11 Sebastian Elser , Michael R. Meyer , Ben Moore

Constraining planet formation models based on the observed exoplanet population requires generating large samples of synthetic planetary systems, which can be computationally prohibitive. A significant bottleneck is simulating the giant…

Earth and Planetary Astrophysics · Physics 2024-09-27 Caleb Lammers , Miles Cranmer , Sam Hadden , Shirley Ho , Norman Murray , Daniel Tamayo

Modern N-body techniques for planetary dynamics are generally based on symplectic algorithms specially adapted to the Kepler problem. These methods have proven very useful in studying planet formation, but typically require the timestep for…

Astrophysics · Physics 2009-11-13 D. S. McNeil , R. P. Nelson

Although the discovery of the chaotic motion of the inner planets in the solar system dates back to more than thirty years ago, the secular chaos of their orbits still dares more analytical analyses. Apart from the high-dimensional…

Earth and Planetary Astrophysics · Physics 2021-11-03 Federico Mogavero , Jacques Laskar

We investigate the formation of terrestrial planets in the late stage of planetary formation using two-planet model. At that time, the protostar has formed for about 3 Myr and the gas disk has dissipated. In the model, the perturbations…

Earth and Planetary Astrophysics · Physics 2009-04-29 Zhang Niu , Ji Jianghui

Planet formation occurs over a few Myr within protoplanetary discs of dust and gas, which are often assumed to evolve in isolation. However, extended gaseous structures have been uncovered around many protoplanetary discs, suggestive of…

Earth and Planetary Astrophysics · Physics 2024-08-09 Andrew J. Winter , Myriam Benisty , Sean M. Andrews

Clumping by streaming instability (SI) leading to gravitational collapse is the leading proposed mechanism for forming planetesimals, the building blocks of terrestrial planets and giant-planet cores. The critical dust-to-gas density ratio…

Earth and Planetary Astrophysics · Physics 2026-03-19 Linn E. J. Eriksson , Ziyan Xu , Jeonghoon Lim , Chao-Chin Yang , Pinghui Huang , Mordecai-Mark Mac Low

During the late stage of planet formation when Mars-size cores appear, interactions among planetary cores can excite their orbital eccentricities, speed their merges and thus sculpture the final architecture of planet systems. This series…

Earth and Planetary Astrophysics · Physics 2015-03-13 Huigen Liu , Ji-lin Zhou , S. Wang

We considered the problem of stability for planets of finite mass in binary star systems. We selected a huge set of initial conditions for planetary orbits of the S-type, to perform high precision and very extended in time integrations. For…

Earth and Planetary Astrophysics · Physics 2020-08-26 Roberto Capuzzo-Dolcetta , Giovanni De Cesare , Alessio Marino

Many of the multi-planet systems discovered to date have been notable for their compactness, with neighbouring planets closer together than any in the Solar System. Interestingly, planet-hosting stars have a wide range of ages, suggesting…

Earth and Planetary Astrophysics · Physics 2018-07-04 Alysa Obertas , Christa Van Laerhoven , Daniel Tamayo

We review the problem of the formation of terrestrial planets, with particular emphasis on the interaction of dynamical and geochemical models. The lifetime of gas around stars in the process of formation is limited to a few million years…

Earth and Planetary Astrophysics · Physics 2009-06-25 Jonathan I. Lunine , David P. O'Brien , Sean N. Raymond , Alessandro Morbidelli , Thomas Quinn , Amara Graps

The large scale structure of the Solar System has been shaped by a transient dynamical instability that may have been triggered by the interaction of the giants planets with a massive primordial disk of icy debris. In this work, we…

Earth and Planetary Astrophysics · Physics 2021-08-18 Marvin Morgan , Darryl Seligman , Konstantin Batygin

Over the course of the recent decades, $N$-body simulations have become a standard tool for quantifying the gravitational perturbations that ensue in planet-forming disks. Within the context of such simulations, massive non-central bodies…

Earth and Planetary Astrophysics · Physics 2020-08-12 Shirui Peng , Konstantin Batygin

The gravitational three-body problem is a fundamental problem in physics and has significant applications to astronomy. Three-body configurations are often considered stable as long the system is hierarchical; that is, the two orbital…

Astrophysics of Galaxies · Physics 2023-07-26 Eric Zhang , Smadar Naoz , Clifford M. Will

We study the effect of a massive planetesimal disk on the dynamical stability of the outer planets assuming, as has been suggested recently, that these were initially locked in a compact and multiresonant configuration as a result of…

Earth and Planetary Astrophysics · Physics 2015-05-20 Mauricio Reyes-Ruiz , Hector Aceves , Carlos E. Chavez

Recent ALMA observations on disk substructures suggest the presence of embedded protoplanets in a large number disks. The primordial configurations of these planetary systems can be deduced from the morphology of the disk substructure and…

Earth and Planetary Astrophysics · Physics 2022-06-22 Shijie Wang , Kazuhiro D. Kanagawa , Yasushi Suto

Transitional disks are protoplanetary disks with large and deep central holes in the gas, possibly carved by young planets. Dong, R., & Dawson, R. 2016, ApJ, 825, 7 simulated systems with multiple giant planets that were capable of carving…

Earth and Planetary Astrophysics · Physics 2023-03-08 Rory Bowens , Andrew Shannon , Rebekah Dawson , Jiayin Dong

Several properties of the Solar System, including the wide radial spacing and orbital eccentricities of giant planets, can be explained if the early Solar System evolved through a dynamical instability followed by migration of planets in…

Earth and Planetary Astrophysics · Physics 2015-06-11 David Nesvorny , Alessandro Morbidelli

Planet formation encompasses processes that span a remarkable 40 magnitudes in mass, ranging from collisions between micron-sized grains inherited from the ISM to the accretion of gas by giant planets. The planet formation process takes…

Earth and Planetary Astrophysics · Physics 2024-12-18 Chris Ormel

It is generally accepted today that our solar system has undergone a phase during which the orbits of the giant planets became very unstable. In recent years, many studies have identified traces of this event and have provided reasonable…

Earth and Planetary Astrophysics · Physics 2016-08-03 Athanasia Toliou , Alessandro Morbidelli , Kleomenis Tsiganis