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We explore the orbital dynamics of systems consisting of three planets, each as massive as the Earth, on coplanar, initially circular, orbits about a star of one solar mass. The initial semimajor axes of the planets are equally spaced in…

Earth and Planetary Astrophysics · Physics 2021-05-12 Jack J. Lissauer , Sacha Gavino

This paper considers the stability of tidal equilibria for planetary systems in which stellar rotation provides a significant contribution to the angular momentum budget. We begin by applying classic stability considerations for two bodies…

Earth and Planetary Astrophysics · Physics 2015-06-23 Fred C. Adams , Anthony M. Bloch

We investigated the underlying architecture of planetary systems by deriving the distribution of planet multiplicity (number of planets) and the distribution of orbital inclinations based on the sample of planet candidates discovered by the…

Earth and Planetary Astrophysics · Physics 2015-06-05 Julia Fang , Jean-Luc Margot

One of the most important developments in exoplanet science in the past decade is the discovery of multi-planet systems with sub-Neptune-sized planets interior to 1~AU. This chapter explores the architectures of these planetary systems,…

From the numerous detected planets outside the Solar system, no terrestrial planet comparable to our Earth has been discovered so far. The search for an Exo-Earth is certainly a big challenge which may require the detections of planetary…

Earth and Planetary Astrophysics · Physics 2015-05-27 E. Pilat-Lohinger

Recent ground and space-based observations show that stars with multiple planets are common in the galaxy. Most of these observational methods are biased toward detecting large planets near to their host stars. Because of these…

Earth and Planetary Astrophysics · Physics 2022-06-29 Thea Faridani , Smadar Naoz , Lingfeng Wei , Will M. Farr

We calculate herein the late stages of terrestrial planet accumulation around a solar type star that has a binary companion with semimajor axis larger than the terrestrial planet region. We perform more than one hundred simulations to…

Astrophysics · Physics 2011-02-11 Elisa V. Quintana , Fred C. Adams , Jack J. Lissauer , John E. Chambers

We evaluate the extent to which newly detected exoplanetary systems containing at least four planets adhere to a generalized Titius-Bode (TB) relation. We find that the majority of exoplanet systems in our sample adhere to the TB relation…

Earth and Planetary Astrophysics · Physics 2015-06-15 Timothy Bovaird , Charles H. Lineweaver

Planet formation is often considered in the context of one circumstellar disk around one star. Yet stellar binary systems are ubiquitous, and thus a substantial fraction of all potential planets must form and evolve in more complex,…

Earth and Planetary Astrophysics · Physics 2022-02-16 Trent J. Dupuy , Adam L. Kraus , Kaitlin M. Kratter , Aaron C. Rizzuto , Andrew W. Mann , Daniel Huber , Michael J. Ireland

Given the inexorable increase in the Sun's luminosity, Earth will exit the habitable zone in ~1 Gyr. There is a negligible chance that Earth's orbit will change during that time through internal Solar System dynamics. However, there is a…

Earth and Planetary Astrophysics · Physics 2023-11-22 Sean N. Raymond , Nathan A. Kaib , Franck Selsis , Herve Bouy

We perform a simulation using the Astrophysical Multipurpose Software Environment of the Orion Trapezium star cluster in which the evolution of the stars and the dynamics of planetary systems are taken into account. The initial conditions…

Solar and Stellar Astrophysics · Physics 2019-04-24 Arjen van Elteren , Simon Portegies Zwart , Inti Pelupessy , Maxwell Cai , Steve McMillan

Recent observations show that planet can reside in close binary systems with stellar separation of only about 20 AU. However, planet formation in such close binary systems is a challenge to current theory. One of the major theoretical…

Earth and Planetary Astrophysics · Physics 2015-05-13 Ji-Wei Xie , Ji-Lin Zhou

Planet formation occurs around a wide range of stellar masses and stellar system architectures. An improved understanding of the formation process can be achieved by studying it across the full parameter space, particularly toward the…

We re-analyze the global orbital architecture and dynamical stability of the $\mu$ Arae planetary system. We have updated the best-fit elements and minimal masses of the planets based on literature radial velocity (RV) measurements, now…

Earth and Planetary Astrophysics · Physics 2022-09-26 Krzysztof Goździewski

The ejection of planets by the instability of planetary systems is a potential source of free-floating planets. We numerically simulate multi-planet systems to study the evolution process, the properties of surviving systems, and the…

Earth and Planetary Astrophysics · Physics 2025-09-16 Ruocheng Zhai , Man Hoi Lee , Tianjun Gan , Shude Mao

Terrestrial planets are thought to be the result of a vast number of gravitational interactions and collisions between smaller bodies. We use numerical simulations to show that practically identical initial conditions result in a wide array…

Earth and Planetary Astrophysics · Physics 2017-09-05 Volker Hoffmann , Simon L. Grimm , Ben Moore , Joachim Stadel

We consider the Roche critical density (rho_Roche), the minimum density of an orbiting object that, at a given distance from its planet, is able to hold itself together by self-gravity. It is directly related to the more familiar "Roche…

Earth and Planetary Astrophysics · Physics 2013-02-25 Matthew S. Tiscareno , Matthew M. Hedman , Joseph A. Burns , Julie Castillo-Rogez

In this paper, we investigate whether hypothetical Earth-like planets have high probability of remaining on stable orbits inside the habitable zones around the stars A and B of {\alpha} Centauri, for lengths of time compatible with the…

Earth and Planetary Astrophysics · Physics 2015-06-22 Eduardo Andrade-Ines , Tatiana A. Michtchenko

The known extrasolar multiple-planet systems share a surprising dynamical attribute: they cluster just beyond the Hill stability boundary. Here we show that the planet-planet scattering model, which naturally explains the observed exoplanet…

Earth and Planetary Astrophysics · Physics 2011-02-11 Sean N. Raymond , Rory Barnes , Dimitri Veras , Philip J. Armitage , Noel Gorelick , Richard Greenberg

This paper reviews coagulation models for planet formation in the Kuiper Belt, emphasizing links to recent observations of our and other solar systems. At heliocentric distances of 35-50 AU, single annulus and multiannulus planetesimal…

Astrophysics · Physics 2009-11-07 Scott J. Kenyon