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We perform numerical simulations to study the secular orbital evolution and dynamical structure in the HD 69830 system with the best-fit orbital solutions by Lovis and coworkers (2006). In the simulations, we show that the triplet Neptunian…

Astrophysics · Physics 2008-11-26 Ji Jianghui , H. Kinoshita , Liu Lin , Li Guangyu

HR8799 is a nearby A-type star with a debris disk and three planetary candidates recently imaged directly. We undertake a coherent analysis of various portions of observational data on all known components of the system. The goal is to…

Atira-class asteroids have aphelia greater than 0.718 au and smaller than 0.983 au. It has been found that the orbits of many of them remain relatively stable for at least 1 Myr, but it is unclear what can make them so stable when they…

Earth and Planetary Astrophysics · Physics 2018-06-13 C. de la Fuente Marcos , R. de la Fuente Marcos

We hereby study the stability of a massless probe orbiting around an oblate central body (planet or planetary satellite) perturbed by a third body, assumed to lie in the equatorial plane (Sun or Jupiter for example) using an Hamiltonian…

Earth and Planetary Astrophysics · Physics 2012-01-11 N. Delsate , P. Robutel , A. Lemaitre , T. Carletti

We aim at providing a preliminary approach on the dynamics of a spacecraft in orbit about the asteroid (99942) Apophis during its Earth close approach. The physical properties from the polyhedral shape of the target are derived assigning…

Earth and Planetary Astrophysics · Physics 2020-12-15 S. Aljbaae , D. M. Sanchez , A. F. B. A. Prado , J. Souchay , M. O. Terra , R. B. Negri , L. O. Marchi

In anticipation of new observational results for Jupiter's axial moment of inertia and gravitational zonal harmonic coefficients from the forthcoming Juno orbiter, we present a number of preliminary Jupiter interior models. We combine…

Earth and Planetary Astrophysics · Physics 2016-04-06 W. B. Hubbard , B. Militzer

We perform numerical simulations to study the Habitable zones (HZs) and dynamical structure for Earth-mass planets in multiple planetary systems. For example, in the HD 69830 system, we extensively explore the planetary configuration of…

Earth and Planetary Astrophysics · Physics 2009-03-16 Ji Jianghui , Liu Lin , H. Kinoshita , Li Guangyu

Asteroid 2016 HO3, a small asteroid (<60 m) in super fast rotation state (~28 min), and is the target of China's Tianwen-2 asteroid sample-return mission. In this work, we investigate its structural stability using an advanced…

Earth and Planetary Astrophysics · Physics 2024-01-05 Bin Cheng , Hexi Baoyin

In this work, we investigate the bifurcations of relative equilibria in the gravitational potential of asteroids. A theorem concerning a conserved quantity, which is about the eigenvalues and number of relative equilibria, is presented and…

Earth and Planetary Astrophysics · Physics 2015-07-29 Yu Jiang , Hexi Baoyin , Hengnian Li

We are interested in stable periodic orbits for spacecrafts in the gravitational field of minor celestial bodies. The stable periodic orbits around minor celestial bodies are useful not only for the mission design of the deep space…

Earth and Planetary Astrophysics · Physics 2018-05-29 Yu Jiang , Juergen Schmidt , Hengnian Li , Xiaodong Liu , Yue Yang

We have searched Microvariability and Oscillations of STars (MOST) satellite photometry obtained in 2004, 2005, and 2007 of the solar-type star HD 209458 for Trojan asteroid swarms dynamically coupled with the system's transiting "hot…

Solar and Stellar Astrophysics · Physics 2010-05-20 Reka Moldovan , Jaymie M. Matthews , Brett Gladman , William F. Bottke , David Vokrouhlicky

The Emirates Mission to the Asteroid Belt (EMA) will study the ultra-red asteroid (269)~Justitia. In this work, we present the first detailed investigation of Justitia's surface dynamics using the newly developed 3-D polyhedral shape model…

Earth and Planetary Astrophysics · Physics 2026-03-03 Leonardo Braga , Andre Amarante , Alessandra Ferreira , Filipe Monteiro , Maria Martins

The Hilda population of asteroids is located in a large orbital zone of long-term stability associated with the Jupiter J3/2 mean motion resonance. They are a sister population of the Jupiter Trojans, since both of them are likely made up…

Earth and Planetary Astrophysics · Physics 2025-03-07 David Vokrouhlický , David Nesvorný , Miroslav Brož , William F. Bottke , Rogerio Deienno , Carson D. Fuls , Frank C. Shelly

The aim of our study is to investigate the possibility of habitable moons orbiting the giant planet HD 23079b, a Jupiter-mass planet, which follows a low-eccentricity orbit in the outer region of HD 23079's habitable zone. We show that HD…

Earth and Planetary Astrophysics · Physics 2015-06-15 M. Cuntz , B. Quarles , J. Eberle , A. Shukayr

We consider a restricted four-body problem with a precise hierarchy between the bodies: two point-mass bigger bodies, a smaller one with oblate shape, and an infinitesimal body in the neighborhood of the oblate body. The three heavy bodies…

Dynamical Systems · Mathematics 2018-12-31 Jaime Burgos-Garcia , Alessandra Celletti , Catalin Gales , Marian Gidea , Wai-Ting Lam

Jovian co-orbitals share Jupiter's orbit in 1:1 mean motion resonance. This includes $>$10,000 so-called Trojan asteroids surrounding the leading (L4) and trailing (L5) Lagrange points, viewed as stable groups dating back to planet…

Earth and Planetary Astrophysics · Physics 2023-12-12 Sarah Greenstreet , Brett Gladman , Mario Juric

We studied the dynamical environment in the vicinity of the primary of the binary asteroid. The gravitational field of the primary is calculated by the polyhedron model with observational data of the irregular shape. The equilibrium points,…

Earth and Planetary Astrophysics · Physics 2018-05-29 Yu Jiang

The only discovery of Earth Trojan 2010 TK$_7$ and the subsequent launch of OSIRIS-REx motive us to investigate the stability around the triangular Lagrange points $L_4$ and $L_5$ of the Earth. In this paper we present detailed dynamical…

Earth and Planetary Astrophysics · Physics 2019-02-06 Lei Zhou , Yang-Bo Xu , Li-Yong Zhou , Rudolf Dvorak , Jian Li

This paper investigates the secular motion of a massless asteroid within the framework of the double-averaged elliptic restricted three-body problem. By employing Poincar\'e variables, we analyze the stability properties of asteroid orbits…

Earth and Planetary Astrophysics · Physics 2024-09-10 Yan Luo , Kaicheng Sheng

The stability of eight nominal fictitious Uranus Trojan orbits over the age of the Solar system has been measured. The initial inclinations, i0, were 0 deg., 5 deg., 15 deg., and 30 deg. relative to the ecliptic plane. Initial…

Earth and Planetary Astrophysics · Physics 2022-12-23 Jeremy Wood