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Choosing a basis set is the first step of a quantum chemistry calculation and it sets its maximum accuracy. This choice of orbitals is limited by strong technical constraints as one must be able to compute a large number of six dimensional…

Strongly Correlated Electrons · Physics 2026-02-04 Nicolas Jolly , Yuriel Núñez Fernández , Xavier Waintal

To study the orbits of satellites, a galaxy could be modelled either by means of a static gravitational potential, or by live $N$-body particles. Analytic potentials allow for fast calculations, but are idealized and non-responsive. On the…

Astrophysics of Galaxies · Physics 2025-06-18 Rubens E. G. Machado , Giovanni C. Tauil , Nicholas Schweder-Souza

Problem of meteor orbit determination for a given parent body is discussed. Some of the published methods for obtaining meteoroid's orbital elements at the moment of intersecting Earth's orbit on the basis of geometrical variation of parent…

Astrophysics · Physics 2007-05-23 Jozef Klacka

This is the second paper in a series of papers showing the results of extrasolar planet population synthesis calculations. In the companion paper (Paper I), we have presented in detail our methods. By applying an observational detection…

Earth and Planetary Astrophysics · Physics 2015-05-13 Christoph Mordasini , Yann Alibert , Willy Benz , Dominique Naef

We have made an extensive search for grouping amongst the near Earth asteroids (NEAs). We used two D- functions and rigorous cluster analysis approach. We have found sev- eral new groups (associations) among the NEAs: the objects moving on…

Earth and Planetary Astrophysics · Physics 2020-03-04 Tadeusz J. Jopek

Separating meteor showers from the sporadic meteor background is critical for the study of both showers and the sporadic complex. The linkage of meteors to meteor showers, to parent bodies, and to other meteors is done using measures of…

Earth and Planetary Astrophysics · Physics 2015-12-16 Althea V. Moorhead

We construct a highly-symmetric periodic orbit of eight bodies in three dimensions. In this orbit, each body collides with its three nearest neighbors in a regular periodic fashion. Regularization of the collisions in the orbit is achieved…

Dynamical Systems · Mathematics 2021-11-08 Skyler Simmons

We investigate the spectra, material properties, and orbital distribution of millimeter- to decimeter-sized meteoroids. Our study aims to distinguish the characteristics of populations of differently sized meteoroids and reveal the…

Earth and Planetary Astrophysics · Physics 2019-09-11 Pavol Matlovič , Juraj Tóth , Regina Rudawska , Leonard Kornoš , Adriana Pisarčíková

Context. The determination of meteor shower or parent body associations is inherently a statistical problem. Traditional methods, primarily the similarity discriminants, have limitations, particularly in handling the increasing volume and…

Earth and Planetary Astrophysics · Physics 2024-04-15 Patrick M. Shober , Jeremie Vaubaillon

We statistically evaluate and compare four orbital similarity criteria within five-dimensional parameter space ($D_{SH}$, $D_D$, $D_H$, and $\varrho_2$) to study dynamical associations using the already classified meteors (manually by a…

Earth and Planetary Astrophysics · Physics 2024-05-29 Eloy Peña-Asensio , Juan Miguel Sánchez-Lozano

This is an overview of recent research on meteors and the parent bodies from which they are produced. While many meteor showers result from material ejected by comets, two out of the three strongest annual showers (the Geminids and the…

Earth and Planetary Astrophysics · Physics 2022-09-21 Toshihiro Kasuga , David Jewitt

We describe how meteors recorded at the Earth can be used to partly reconstruct the meteoroid environments of the planets if a large sample (i.e. millions of orbits at a minimum) is available. The process involves selecting from the…

Earth and Planetary Astrophysics · Physics 2017-07-19 Paul Wiegert , Peter Brown , Petr Pokorny , Karina Lenartowicz , Zbyszek Krzeminski

The bulk density of an asteroid informs us about its interior structure and composition. To constrain the bulk density one needs an estimate for the mass of the asteroid. The mass is estimated by analyzing an asteroid's gravitational…

Earth and Planetary Astrophysics · Physics 2020-01-15 L. Siltala , M. Granvik

Statistical analysis of samples of the orbits of celestial bodies is complicated by the fact that the Keplerian orbit is a multidimensional object, the coordinate representation of which nonlinearly depends on the choice of orbital…

Earth and Planetary Astrophysics · Physics 2024-04-05 Danila Milanov , Vakhit Shaidulin , Aleksandr Rusakov , Angelina Veselova

In industry, defect detection is crucial for quality control. Non-destructive testing (NDT) methods are preferred as they do not influence the functionality of the object while inspecting. Automated data evaluation for automated defect…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Natascha Jeziorski , Petra Gospodnetić , Claudia Redenbach

Context. Orbital similarity measures, such as the D-values, have been extensively used in meteor science to identify meteoroid streams and associate meteorite falls with near-Earth objects (NEOs). However, the chaotic nature of near-Earth…

Earth and Planetary Astrophysics · Physics 2024-12-25 Patrick M. Shober , Ariane Courtot , Jeremie Vaubaillon

We calculate orbits for the Milky Way dwarf galaxies with proper motions, and compare these to subhalo orbits in a high resolution cosmological simulation. We use the simulation data to assess how well orbits may be recovered in the face of…

Astrophysics of Galaxies · Physics 2015-05-14 H. Lux , J. I. Read , G. Lake

We review an approach to observation-theory comparisons we call "Taste-Testing." In this approach, synthetic observations are made of numerical simulations, and then both real and synthetic observations are "tasted" (compared) using a…

Astrophysics of Galaxies · Physics 2011-07-15 Alyssa A. Goodman

Over 34,000 objects bigger than 10 cm in length are known to orbit Earth. Among them, only a small percentage are active satellites, while the rest of the population is made of dead satellites, rocket bodies, and debris that pose a…

We extend our previous algorithm computing the minimum orbital intersection distance (MOID) to include hyperbolic orbits, and mixed combinations ellipse--hyperbola. The MOID is computed by finding all stationary points of the distance…

Instrumentation and Methods for Astrophysics · Physics 2021-10-18 Roman. V. Baluev