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In this work we revisit the problem of the dynamical stability of hierarchical triple systems with applications to circumbinary planetary orbits. We carry out more than 3 10^8 numerical simulations of planets between the size of Mercury and…

Earth and Planetary Astrophysics · Physics 2024-09-06 Nikolaos Georgakarakos , Siegfried Eggl , Mohamad Ali-Dib , Ian Dobbs-Dixon

This article is the updated version of the paper: "Combined 3D thinning and greedy algorithm to approximate realistic particles with corrected mechanical properties, Granular Matter (2019)" by the first author [58]. The main changes here…

Applied Physics · Physics 2024-01-09 Fei-Liang Yuan

The formation of the four terrestrial planets of the solar system is one of the most fundamental problems in the planetary sciences. However, the formation of Mercury remains poorly understood. We investigated terrestrial planet formation…

Earth and Planetary Astrophysics · Physics 2017-04-05 Patryk Sofia Lykawka , Takashi Ito

This paper presents a novel formulation and solution of orbit determination over finite time horizons as a learning problem. We present an approach to orbit determination under very broad conditions that are satisfied for n-body problems.…

Machine Learning · Statistics 2018-03-05 Srinagesh Sharma , James W. Cutler

The possibility of measuring the post-Newtonian gravitoelectric correction to the orbital period of a test particle freely orbiting a spherically symmetric mass in the Solar System is analyzed. It should be possible, in principle, to detect…

General Relativity and Quantum Cosmology · Physics 2012-07-31 Lorenzo Iorio

Most meteorites are fragments from recent collisions experienced in the asteroid belt. In such a hyper-velocity collision, the smaller collision partner is destroyed, whereas a crater on the asteroid is formed or it is entirely disrupted,…

Earth and Planetary Astrophysics · Physics 2016-06-15 Eike Beitz , Jürgen Blum , M. Gabriela Parisi , Josep M. Trigo-Rodríguez

We consider the configuration space of ordered points on the two-dimensional sphere that satisfy a specific system of quadratic equations. We construct periodic orbits in this configuration space using elliptic theta functions and show that…

Exactly Solvable and Integrable Systems · Physics 2026-04-14 Shizuo Kaji , Kenji Kajiwara , Shota Shigetomi

Estimates for asteroid masses are based on their gravitational perturbations on the orbits of other objects such as Mars, spacecraft, or other asteroids and/or their satellites. In the case of asteroid-asteroid perturbations, this leads to…

Earth and Planetary Astrophysics · Physics 2017-07-26 L. Siltala , M. Granvik

We present a new space mission concept that is capable of finding, detecting, and tracking 90% of near-Earth objects (NEO) with H magnitude of $\rm H\leq22$ (i.e., $\sim$140 m in size) that are potentially hazardous to the Earth. The new…

Instrumentation and Methods for Astrophysics · Physics 2017-07-24 Michael Shao , Slava G. Turyshev , Sara Spangelo , Thomas Werne , Chengxing Zhai

In the so-called "global polytropic model", we assume planetary systems in hydrostatic equilibrium and solve the Lane--Emden equation in the complex plane. We thus find polytropic spherical shells providing hosting orbits to planets. On the…

Earth and Planetary Astrophysics · Physics 2021-03-24 Vassilis S. Geroyannis

Fragments of small solar system bodies entering Earth's atmosphere have possibly been important contributors of organic compounds to the early Earth. The cyano radical (CN) emission from meteors is considered as potentially one of the most…

Advances in nanotechnology now allow the creation of artificial atoms - engineered structures whose electronic states closely mimic those of real atoms. Understanding how these artificial atoms interact and bond is key to designing new…

Mesoscale and Nanoscale Physics · Physics 2026-04-17 Mong-Wen Gu , Aizhan Sabitova , Taner Esat , Christian Wagner , F. Stefan Tautz , Aleksandr Rodin , Ruslan Temirov

While orbital analysis studies were so far mainly focused on the Galactic halo, it is possible now to do these studies in the heavily obscured region close to the Galactic Centre. We aim to do a detailed orbital analysis of stars located in…

Astrophysics of Galaxies · Physics 2024-03-04 N. Nieuwmunster , M. Schultheis , M. Sormani , F. Fragkoudi , F. Nogueras-Lara , R. Schödel , P. McMillan

In asteroid rendezvous missions, the dynamical environment near the asteroid's surface should be made clear prior to the mission launch. However, most of the asteroids have irregular shapes, which lower the efficiency of calculating their…

Earth and Planetary Astrophysics · Physics 2017-12-20 Shoucun Hu , Jianghui Ji

How multiple close-in super-Earths form around stars with masses lower than that of the Sun is still an open issue. Several recent modeling studies have focused on planet formation around M-dwarf stars, but so far no studies have focused…

Earth and Planetary Astrophysics · Physics 2023-08-23 P. Hatalova , R. Brasser , E. Mamonova , S. C. Werner

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…

We present a novel orbit parameterization in spherical coordinates. This parameterization enables the mixing of varying and invariant orbital parameters, and clarifies the physics of the orbit. It also simplifies the process of placing…

Earth and Planetary Astrophysics · Physics 2024-10-07 Kevin J Napier , Matthew J Holman

We investigate numerically the dynamical evolution of simulated meteoroid stream of the Quadrantids ejected from the parent body of the asteroid (196256) 2003 EH1. The main goal of this work is to identify mean motion and secular resonances…

Earth and Planetary Astrophysics · Physics 2020-08-11 Georgy E. Sambarov , Tatyana Yu. Galushina , Olga M. Syusina

The aim is to show that in case of low probability of asteroid collision with Earth, the appropriate selection and weighing of the data are crucial for the impact investigation, and to analyze the impact possibilities using extensive…

Earth and Planetary Astrophysics · Physics 2015-05-13 Malgorzata Krolikowska , Grzegorz Sitarski , Andrzej M. Soltan

Recent investigations (e.g. Han et al. 2001) have shown that fitting the Hipparcos observations with an orbital model when the astrometric wobble caused by the companion is below the noise level can have rather unexpected consequences. With…

Astrophysics · Physics 2009-11-07 D. Pourbaix
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