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This paper presents a robust linear method for impact probability estimation of near-Earth asteroids with the Earth. This method is a significantly modified and improved method, which uses a special curvilinear coordinate system associated…

Earth and Planetary Astrophysics · Physics 2020-01-08 Dmitrii E. Vavilov

Orbital parameters of planets are fitted directly to an appropriate set of observations. It is shown how to use the rigorous Deming method combined with a numerical integration of gravitation equations. In all, 65 parameters of the nine…

Astrophysics · Physics 2007-05-23 A. C. Lefloch

With orbital periods longer than 200 years, most long-period comets (LPCs) remain undiscovered until they are in-bound towards perihelion. The comets that pass close to Earth's orbit are Potentially Hazardous Objects (PHOs). Those with…

Earth and Planetary Astrophysics · Physics 2024-10-10 Samantha Hemmelgarn , Nicholas Moskovitz , Stuart Pilorz , Peter Jenniskens

We propose two algorithms to provide a full preliminary orbit of an Earth-orbiting object with a number of observations lower than the classical methods, such as those by Laplace and Gauss. The first one is the Virtual debris algorithm,…

Space Physics · Physics 2015-05-14 D. Farnocchia , G. Tommei , A. Milani , A. Rossi

Cosmological simulations of structure formation are invaluable to study the evolution of the Universe and the development of galaxies in it successfully reproducing many observations in the context of the cosmological paradigm $\Lambda$CDM.…

Astrophysics of Galaxies · Physics 2021-02-11 J. M. Pacheco-Arias , C. R. Carvajal-Bohorquez , Juan C. B. Pineda , L. A. Núñez

Meteoroids pose one of the largest risks to spacecraft outside of low Earth orbit. In order to correctly predict the rate at which meteoroids impact and damage spacecraft, environment models must describe the mass, directionality, velocity,…

Earth and Planetary Astrophysics · Physics 2019-09-30 Althea V. Moorhead , Aaron Kingery , Steven Ehlert

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

How do galaxies move relative to one another? While we can examine the motion of dark matter subhalos around their hosts in simulations of structure formation, determining the orbits of satellites around their parent galaxies from…

Astrophysics of Galaxies · Physics 2015-10-21 David Hendel , Kathryn V. Johnston

We present results of magnetohydrodynamic (MHD) simulations of jet formation and propagation, discussing a variety of astrophysical setups. In the first approach we consider simulations of relativistic MHD jet formation, considering jets…

High Energy Astrophysical Phenomena · Physics 2015-06-18 Christian Fendt , Oliver Porth , Somayeh Sheikhnezami

We extend the selected columns of the density matrix (SCDM) methodology [J. Chem. Theory Comput. 2015, 11, 1463--1469]---a non-iterative procedure for generating localized occupied orbitals for condensed-phase systems---to the construction…

Chemical Physics · Physics 2021-08-17 Eric G. Fuemmeler , Anil Damle , Robert A. DiStasio

A semi-numerical method is used in order to locate the position and calculate the period of periodic orbits in a 3D composite bisymmetrical potential, in a number of resonant cases. The potential consists of a 3D harmonic oscillator and a…

Chaotic Dynamics · Physics 2012-10-24 Euaggelos E. Zotos , Nicolaos D. Caranicolas

Near Earth Objects (NEOs) are a transient population of small bodies with orbits near or in the terrestrial planet region. They represent a mid-stage in the dynamical cycle of asteroids and comets, which starts with their removal from the…

As of today, there is no official definition of a meteor cluster. It is usually identified as a large number of meteors sharing a similar radiant and velocity, all occurring within a few seconds. Only eight clusters have been reported so…

Earth and Planetary Astrophysics · Physics 2025-04-08 A. Ashimbekova , J. Vaubaillon , P. Koten

We aim to provide satellite operators and researchers with an efficient means for evaluating and mitigating collision risk during the design process of mega-constellations. We first establish a baseline for evaluating various techniques for…

Earth and Planetary Astrophysics · Physics 2021-05-12 Nathan Reiland , Aaron J. Rosengren , Renu Malhotra , Claudio Bombardelli

We present a detailed algorithm to construct symbolic encodings for chaotic attractors of three-dimensional flows. It is based on a topological analysis of unstable periodic orbits embedded in the attractor and follows the approach proposed…

chao-dyn · Physics 2009-10-31 Jerome Plumecoq , Marc Lefranc

Given recipe of qualitative, kinetic modelling by geometric methods of three-dimensional dendritic crystals. Characteristic features of the perturbations appearing on the surface of a spherical body, leading to different scenarios of the…

Materials Science · Physics 2018-10-05 Alexander S. Prokhoda

We analyze the possibilities of detection of hypothetical exoplanets in coorbital motion from synthetic radial velocity (RV) signals, taking into account different types of stable planar configurations, orbital eccentricities and mass…

Earth and Planetary Astrophysics · Physics 2015-06-03 C. A. Giuppone , P. Benitez-Llambay , C. Beauge

The search of high-order periodic orbits has been typically restricted to problems with symmetries that help to reduce the dimension of the search space. Well-known examples include reversible maps with symmetry lines. The present work…

Dynamical Systems · Mathematics 2021-04-28 Renato Calleja , Diego del-Castillo-Negrete , David Martinez-del-Rio , Arturo Olvera

Planet formation models are now often considering the formation of planetary systems, with more than one planet per system. This raises the question of how to represent planetary systems in a convenient way, (e.g. for visualisation purpose)…

Earth and Planetary Astrophysics · Physics 2019-04-10 Yann Alibert

The Earth is impacted by 35-40 metre-scale objects every year. These meteoroids are the low mass end of impactors that can do damage on the ground. Despite this they are very poorly surveyed and characterised, too infrequent for ground…