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We present recent improvements of the modeling of the disruption of strength dominated bodies using the Smooth Particle Hydrodynamics (SPH) technique. The improvements include an updated strength model and a friction model, which are…

Earth and Planetary Astrophysics · Physics 2015-02-09 Martin Jutzi

In this work the orbital dynamics of Earth satellites about the geosynchronous altitude are explored, with primary goal to assess current mitigation guidelines as well as to discuss the future exploitation of the region. A thorough…

Earth and Planetary Astrophysics · Physics 2019-05-07 Ioannis Gkolias , Camilla Colombo

Birkhoff normal forms are commonly used in order to ensure the so called "effective stability" in the neighborhood of elliptic equilibrium points for Hamiltonian systems. From a theoretical point of view, this means that the eventual…

Mathematical Physics · Physics 2021-02-12 Chiara Caracciolo , Ugo Locatelli

The orbital and attitude dynamics of uncontrolled Earth orbiting objects are perturbed by a variety of sources. In research, emphasis has been put on operational space vehicles. Operational satellites typically have a relatively compact…

Earth and Planetary Astrophysics · Physics 2013-12-03 Carolin Frueh , Moriba Jah , Thomas Kelecy

This paper explores the stability of an Earth-like planet orbiting a solar-mass star in the presence of a stellar companion using ~ 400,000 numerical integrations. Given the chaotic nature of the systems being considered, we perform a…

Astrophysics · Physics 2009-11-11 M. Fatuzzo , F. C. Adams , R. Gauvin , E. M. Proszkow

This paper studies the long-term migration of disturbed regolith materials on the surface of Solar System small bodies from the viewpoint of nonlinear dynamics. We propose an approximation model for secular mass movement, which combines the…

Earth and Planetary Astrophysics · Physics 2021-12-24 Chenyang Huang , Yang Yu , Bin Cheng , Qingyun Wang

Given the spin state by Magnusson (1990), the shape model by Ostro et al. (2000), and the mass by Descamps et al. (2011), this paper evaluates a dynamically and structurally stable size of Asteroid (216) Kleopatra. In particular, we…

Earth and Planetary Astrophysics · Physics 2015-06-18 Masatoshi Hirabayashi , Daniel J. Scheeres

Binary systems host complex orbital dynamics where test particles can occupy stable regions despite strong gravitational perturbations. The sailboat region, discovered in the Pluto-Charon system, allows highly eccentric S-type orbits at…

Earth and Planetary Astrophysics · Physics 2025-11-26 Rafael Sfair , Tiago F. L. L. Pinheiro , Giovana Ramon , Ernesto Vieira

Recently, Near Earth Objects (NEOs) have been attracting great attention, and thousands of NEOs have been found to date. This paper examines the NEOs' orbital dynamics using the framework of an accurate solar system model and a…

Earth and Planetary Astrophysics · Physics 2011-08-25 Hexi Baoyin , Yang Chen , Junfeng Li

The restricted three-body problem describes the motion of a massless particle under the influence of two primaries of masses $1-\mu$ and $\mu$ that circle each other with period equal to $2\pi$. For small $\mu$, a resonant periodic motion…

Dynamical Systems · Mathematics 2014-08-28 D. Viswanath

Periodic solutions of the three body problem are very important for understanding its dynamics either in a theoretical framework or in various applications in celestial mechanics. In this paper we discuss the computation and continuation of…

Earth and Planetary Astrophysics · Physics 2017-04-04 George Voyatzis

The faint young Sun paradox remains an open question. Presented here is one possible solution to this apparent inconsistency, a more massive early Sun. Based on conditions on early Earth and Mars, a luminosity constraint is set as a…

Solar and Stellar Astrophysics · Physics 2018-08-08 Suzannah R. Wood , Katie Mussack , Joyce A. Guzik

The characteristics of the resonant disturbing function for an asteroid perturbed by a planet in circular orbit are discussed. The location of the libration centers and their dependence with the orbital elements of the resonant orbit are…

Astrophysics · Physics 2007-08-16 Tabare Gallardo

Analytical approximations are commonly employed in the initial trajectory design phase of a mission to rapidly explore a broad design space. In the context of an asteroid deflection mission, accurately predicting deflection is crucial to…

Earth and Planetary Astrophysics · Physics 2024-04-08 Rodolfo Batista Negri , Antônio Fernando Bertachini de Almeida Prado

We study the dynamics of two homogeneous rigid ellipsoids subject to their mutual gravitational influence. We assume that the spin axis of each ellipsoid coincides with its shortest physical axis and is perpendicular to the orbital plane.…

Dynamical Systems · Mathematics 2022-09-28 Alessandra Celletti , Joan Gimeno , Mauricio Misquero

The triple asteroids and triple Kuiper belt objects (collectively called the triple minor planets) in the Solar system are of particular interest to the scientific community since the discovery of the first triple asteroid system in 2004.…

Earth and Planetary Astrophysics · Physics 2012-11-20 Xiaodong Liu , Hexi Baoyin , Nikolaos Georgakarakos , John Richard Donnison , Xingrui Ma

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

Context: Potentially hazardous asteroids (PHA) in Earth-crossing orbits pose a constant threat to life on Earth. Several mitigation methods have been proposed, and the most feasible technique appears to be the disintegration of the impactor…

Earth and Planetary Astrophysics · Physics 2023-09-06 Zs. Regaly , V. Frohlich , P. Berczik

Most close-in planetary satellites are in synchronous rotation, which is usually the stable end-point of tidal despinning. Saturn's moon Hyperion is a notable exception by having a chaotic rotation. Hyperion's dynamical state is a…

Earth and Planetary Astrophysics · Physics 2021-10-19 Matija Ćuk , Seth A. Jacobson , Kevin J. Walsh

We present a new method for engineering the artificial capture of asteroids. Based on theories of the chaos-assisted capture of natural satellites of the giant planets, we show how an unbound asteroid that passes close to a regular region…

Earth and Planetary Astrophysics · Physics 2015-01-15 Patricia E. Verrier , Colin R. McInnes