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The gravitational interaction between two objects on similar orbits can effect noticeable changes in the orbital evolution even if the ratio of their masses to that of the central body is vanishingly small. Christou (2005) observed an…

Earth and Planetary Astrophysics · Physics 2016-03-17 Daohai Li , Apostolos A. Christou

Many exoplanetary systems containing hot Jupiters are found to possess significant misalignment between the spin axis of the host star and the planet's orbital angular momentum axis. A possible channel for producing such misaligned hot…

Earth and Planetary Astrophysics · Physics 2015-06-23 Natalia I. Storch , Dong Lai

The late-stage formation of giant planetary systems is rich in interesting dynamical mechanisms. Previous simulations of three giant planets initially on quasi-circular and quasi-coplanar orbits in the gas disc have shown that highly…

Earth and Planetary Astrophysics · Physics 2018-05-02 Anne-Sophie Libert , Sotiris Sotiriadis , Kyriaki I. Antoniadou

The Asteroid Belt and the Kuiper Belt are relics from the formation of our solar system. Understanding the size and spin distribution of the two belts is crucial for a deeper understanding of the formation of our solar system and the…

Earth and Planetary Astrophysics · Physics 2015-02-20 Elad Steinberg , Re'em Sari

The members of asteroid families have various shapes. We investigate the origin of their shapes by high-resolution impact simulations for catastrophic disruptions using a Smoothed Particle Hydrodynamics code. Collisional remnants produced…

Earth and Planetary Astrophysics · Physics 2020-02-12 Keisuke Sugiura , Hiroshi Kobayashi , Shu-ichiro Inutsuka

The most puzzling property of the extrasolar planets discovered by recent radial velocity surveys is their high orbital eccentricities, which are very difficult to explain within our current theoretical paradigm for planet formation.…

Astrophysics · Physics 2009-11-11 Genya Takeda , Frederic A. Rasio

The dynamical evolution of Classical Kuiper Belt Objects (CKBOs) divides into two parts, according to the secular theory of test particle orbits. The first part is a forced oscillation driven by the planets, while the second part is a free…

Astrophysics · Physics 2009-11-07 E. I. Chiang

Exoplanet systems with multiple planets in mean motion resonances have often been hailed as a signpost of disk driven migration. Resonant chains like Kepler-223 and Kepler-80 consist of a trio of planets with the three-body resonant angle…

Earth and Planetary Astrophysics · Physics 2020-12-09 Sarah J. Morrison , Rebekah I. Dawson , Mariah G. MacDonald

The past decade has brought major improvements in large-scale asteroid discovery and characterization with over half a million known asteroids and over 100,000 with some measurement of physical characterization. This explosion of data has…

Earth and Planetary Astrophysics · Physics 2016-08-31 Francesca E. DeMeo , Conel M. O'D. Alexander , Kevin J. Walsh , Clark R. Chapman , Richard P. Binzel

The quest of exo-Earths has become a prominent field. In this work, we study the stability of non-coplanar planetary configurations consisting of an inclined inner terrestrial planet in mean-motion resonance with an outer giant planet. We…

Earth and Planetary Astrophysics · Physics 2018-12-06 K. I. Antoniadou , A. -S. Libert

The population of known minor bodies in retrograde orbits ($i > 90 ^{\circ}$) that are classified as asteroids is still growing. The aim of our study was to estimate the dynamical lifetimes of these bodies by use of the latest observational…

Earth and Planetary Astrophysics · Physics 2017-03-07 Paweł Kankiewicz , Ireneusz Włodarczyk

We studied 93 asteroid pairs. We estimated times elapsed since separation of pair members that are between 7*10^3 and a few 10^6 yr. We derived the rotation periods for all the primaries and a sample of secondaries. We derived the absolute…

We construct a secular theory of a coplanar system of N-planets not involved in strong mean motion resonances, and which are far from collision zones. Besides the point-to-point Newtonian mutual interactions, we consider the general…

Astrophysics · Physics 2009-11-13 Cezary Migaszewski , Krzysztof Gozdziewski

We present an analytical formalism to study the secular dynamics of a system consisting of N-2 planets orbiting a binary star in outer orbits. We introduce a canonical coordinate system and expand the disturbing function in terms of…

Earth and Planetary Astrophysics · Physics 2017-11-08 Eduardo Andrade-Ines , Philippe Robutel

We use our home catalog of the asteroid proper elements to study the Karin family. The hierarchical clustering method provides formal identification with 3,863 members, but this set also includes objects from the neighboring Koronis2 and…

Earth and Planetary Astrophysics · Physics 2026-02-13 David Vokrouhlický , David Nesvorný , William F. Bottke

Orbital resonances are ubiquitous in the Solar system. They play a decisive role in the long term dynamics, and in some cases the physical evolution, of the planets and of their natural satellites, as well as the evolution of small bodies…

chao-dyn · Physics 2009-10-22 Renu Malhotra

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

The secular behavior of an orbit under the gravitational perturbation due to a two-dimensional uniform disk is studied in this paper, through analytical and numerical approaches. We develop the secular approximation of this problem and…

Earth and Planetary Astrophysics · Physics 2020-10-09 Tao Liu , Xue-Qing Xu , Xin-Hao Liao

The observationally complete sample of the main belt asteroids now spans more than two orders of magnitude in size and numbers more than 64,000 (excluding collisional family members). We undertook an analysis of asteroids' eccentricities…

Earth and Planetary Astrophysics · Physics 2017-01-11 Renu Malhotra , Xianyu Wang

Mean motion commensurabilities in multi-planet systems are an expected outcome of protoplanetary disk-driven migration, and their relative dearth in the observational data presents an important challenge to current models of planet…

Earth and Planetary Astrophysics · Physics 2017-03-08 Konstantin Batygin , Fred C. Adams