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We present the dynamical structure of the phase space of the planar planetary 2/1 mean-motion resonance (MMR). Inside the resonant domain, there exist two families of periodic orbits, one associated to the librational motion of the critical…

Earth and Planetary Astrophysics · Physics 2011-12-07 Tatiana A. Michtchenko , Sylvio Ferraz-Mello , Cristian Beauge

We compute the strengths of zero-th order (in eccentricity) three-body resonances for a co-planar and low eccentricity multiple planet system. In a numerical integration we illustrate that slowly moving Laplace angles are matched by…

Earth and Planetary Astrophysics · Physics 2015-05-28 Alice C. Quillen

Knowledge of the interior density distribution of an asteroid can reveal its composition and constrain its evolutionary history. However, most asteroid observational techniques are not sensitive to interior properties. We investigate the…

Earth and Planetary Astrophysics · Physics 2022-10-20 Jack T Dinsmore , Julien de Wit

With 40 or more transiting exoplanets now known, the time is ripe to seek patterns and correlations among their observed properties, which may give important insights into planet formation, structure, and evolution. This task is made…

Astrophysics · Physics 2009-11-13 Guillermo Torres , Joshua N. Winn , Matthew J. Holman

The process of capture in the coorbital region of a solar system planet is studied. Absolute capture likelihood in the 1:1 resonance is determined by randomly constructed statistical ensembles numbering $7.24\times 10^5$ of massless…

Earth and Planetary Astrophysics · Physics 2017-07-27 Fathi Namouni , Helena Morais

Machine learning techniques using proper elements to reconnect families of satellite fragmentation debris have recently advanced, becoming key to space sustainability and domain awareness. However, an evolving circumterrestrial environment…

Earth and Planetary Astrophysics · Physics 2025-12-17 Michael Ling , Yang Yang

Thermal infrared observations are the most effective way to measure asteroid diameter and albedo for a large number of near-Earth objects. Major surveys like NEOWISE, NEOSurvey, ExploreNEOs, and NEOLegacy find a small fraction of high…

Eclipsing systems are essential objects for understanding the properties of stars and stellar systems. Eclipsing systems with pulsating components are furthermore advantageous because they provide accurate constraints on the component…

Solar and Stellar Astrophysics · Physics 2021-05-11 Patricia Lampens

The transits of a planet on a Keplerian orbit occur at time intervals exactly equal to the period of the orbit. If a second planet is introduced the orbit is not Keplerian and the transits are no longer exactly periodic. We compute the…

Astrophysics · Physics 2009-11-10 E. Agol , J. Steffen , R. Sari , W. Clarkson

Asteroids in mean motion resonances with giant planets are common in the solar system, but it was not until recently that several asteroids in retrograde mean motion resonances with Jupiter and Saturn were discovered. A retrograde…

Earth and Planetary Astrophysics · Physics 2018-06-14 Yukun Huang , Miao Li , Junfeng Li , Shengping Gong

The asteroid belt is the leftover of the original planetesimal population in the inner solar system. However, currently the asteroids have orbits with all possible values of eccentricities and inclinations compatible with long-term…

Earth and Planetary Astrophysics · Physics 2016-08-31 Alessandro Morbidelli , Kevin J. Walsh , David P. O'Brien , David A. Minton , William F. Bottke

Mean motion resonances are a common feature of both our own Solar System and of extrasolar planetary systems. Bodies can be trapped in resonance when their orbital semi-major axes change, for instance when they migrate through a…

Earth and Planetary Astrophysics · Physics 2015-05-20 Alexander J. Mustill , Mark C. Wyatt

We present a new method for computing orbits in the perturbed two-body problem: the position and velocity vectors of the propagated object in Cartesian coordinates are replaced by eight orbital elements, i.e., constants of the unperturbed…

Classical Physics · Physics 2020-03-11 Giulio Baù , Javier Roa

Most major planetary bodies in the solar system rotate in the same direction as their orbital motion: their spin is prograde. Theoretical studies to explain the direction as well as the magnitude of the spin vector have had mixed success.…

Earth and Planetary Astrophysics · Physics 2019-09-25 R. G. Visser , C. W. Ormel , C. Dominik , S. Ida

The debiased absolute-magnitude and orbit distributions as well as source regions for near-Earth objects (NEOs) provide a fundamental frame of reference for studies of individual NEOs and more complex population-level questions. We present…

Evidence is seen for young, fresh surfaces among Near-Earth and Main-Belt asteroids even though space-weathering timescales are shorter than the age of the surfaces. A number of mechanisms have been proposed to refresh asteroid surfaces on…

The Kepler mission has released over 4496 planetary candidates, among which 3483 planets have been confirmed as of April 2017. The statistical results of the planets show that there are two peaks around 1.5 and 2.0 in the distribution of…

Earth and Planetary Astrophysics · Physics 2017-11-29 Su Wang , Jianghui Ji

Motivated by the population of multi-planet systems with orbital period ratios 1<P2/P1<2, we study the long-term stability of packed two planet systems. The Hamiltonian for two massive planets on nearly circular and nearly coplanar orbits…

Earth and Planetary Astrophysics · Physics 2015-06-16 Katherine M. Deck , Matthew Payne , Matthew J. Holman

We determine the possible detection rate of asteroids with the Bering mission. In particular we examine the outcome of the Bering mission in relation to the populations of Near-Earth Asteroids and main belt asteroids. This is done by…

Astrophysics · Physics 2007-05-23 Rene Michelsen , Henning Haack , Anja C. Andersen , John L. Joergensen

Understanding the evolution of the Milky Way calls for the precise abundance determination of many elements in many stars. A common perception is that deriving more than a few elemental abundances ([Fe/H], [$\alpha$/Fe], perhaps [C/H],…

Solar and Stellar Astrophysics · Physics 2017-07-05 Yuan-Sen Ting , Charlie Conroy , Hans-Walter Rix , Phillip Cargile
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