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Context. In asteroseismology the pulsation mode frequencies of a star are the fundamental data that are compared to theoretical predictions to determine a star's interior physics. Recent significant advances in the numerical, theoretical…

Solar and Stellar Astrophysics · Physics 2021-12-22 Dominic M. Bowman , Mathias Michielsen

We compare different methods of computing the orbital eccentricity of quasi-circular binary black hole systems using the orbital variables and gravitational wave phase and frequency. For eccentricities of about a per cent, most methods work…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Abdul H. Mroué , Harald P. Pfeiffer , Lawrence E. Kidder , Saul A. Teukolsky

It has recently been shown by Egal et al. (2017) that some types of existing meteor in-atmosphere trajectory estimation methods may be less accurate than others, particularly when applied to high precision optical measurements. The…

Earth and Planetary Astrophysics · Physics 2020-04-23 Denis Vida , Peter S. Gural , Peter G. Brown , Margaret Campbell-Brown , Paul Wiegert

Accurately knowing uncertainties in appearance-based gaze tracking is critical for ensuring reliable downstream applications. Due to the lack of individual uncertainty labels, current uncertainty-aware approaches adopt probabilistic models…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Qiaojie Zheng , Jiucai Zhang , Xiaoli Zhang

Improvement of the prediction accuracy of the Earth's rotation parameters (ERP) is one of the main problems of applied astrometry. In order to solve this problem, various approaches are used and in order to select the best one, comparison…

Geophysics · Physics 2023-04-11 Z. M. Malkin , V. M. Tissen

A method for determining the orbital parameters of interacting pairs of galaxies is presented and evaluated using artificial data. The method consists of a genetic algorithm which can search efficiently through the very large space of…

Astrophysics · Physics 2009-10-30 M. Wahde

We address the problem of uncertainty quantification and propose measures of total, aleatoric, and epistemic uncertainty based on a known decomposition of (strictly) proper scoring rules, a specific type of loss function, into a divergence…

Machine Learning · Computer Science 2025-05-29 Paul Hofman , Yusuf Sale , Eyke Hüllermeier

Through multiple, small unmanned probes we can more efficiently capture an asteroid and return it to lunar orbit. The Asteroid Return and Exploration System (ARES) aims to make use of previously tested technology with the application of a…

Space Physics · Physics 2014-10-08 Charles Domercant , Aiden Gonzalez

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

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

Context. We report the exploitation of a sample of epoch astrometry for 157 000 asteroids, the same object in the Gaia Data Release 3, extended over the time coverage planned for the Gaia DR4, which is not expected before the end of 2025.…

Earth and Planetary Astrophysics · Physics 2023-12-13 Gaia Collaboration , P. David , F. Mignard , D. Hestroffer , P. Tanga

The Gaia Data Release 1 (GDR1) is a first, important step on the path of evolution of astrometric accuracy towards a much improved situation. Although asteroids are not present in GDR1, this intermediate release already impacts asteroid…

Earth and Planetary Astrophysics · Physics 2017-11-08 F. Spoto , P. Tanga , S. Bouquillon , J. Desmars , D. Hestroffer , F. Mignard , M. Altmann , D. Herald , J. Marchant , C. Barache , T. Carlucci , T. Lister , F. Taris

We propose a method to overcome the usual limitation of current data processing techniques in optical and infrared long-baseline interferometry: most reduction pipelines assume uncorrelated statistical errors and ignore systematics. We use…

Instrumentation and Methods for Astrophysics · Physics 2019-01-23 Régis Lachaume , Markus Rabus , Andrés Jordán , Rafael Brahm , Tabetha Boyajian , Kaspar von Braun , Jean-Philippe Berger

We describe systematic ranging, an orbit determination technique especially suitable to assess the near-term Earth impact hazard posed by newly discovered asteroids. For these late warning cases, the time interval covered by the…

Earth and Planetary Astrophysics · Physics 2015-07-15 D. Farnocchia , S. R. Chesley , M. Micheli

Building and maintaining a catalog of resident space objects involves several tasks, ranging from observations to data analysis. Once acquired, the knowledge of a space object needs to be updated following a dedicated observing schedule.…

Numerical Analysis · Mathematics 2022-10-27 Laura Pirovano , Roberto Armellin

Entropic uncertainty relations are powerful tools, especially in quantum cryptography. They typically bound the amount of uncertainty a third-party adversary may hold on a measurement outcome as a result of the measurement overlap. However,…

Quantum Physics · Physics 2023-05-18 Walter O. Krawec

The holy grail of exoplanet searches is an exo-Earth, an Earth mass planet in the habitable zone around a nearby star. Mass is the most important parameter of a planet and can only be measured by observing the motion of the star around the…

Earth and Planetary Astrophysics · Physics 2010-06-23 Michael Shao , Joseph Catanzarite , Xiaopei Pan

In this article, equilibrium points and families of periodic orbits in the vicinity of the collinear equilibrium points of a binary asteroid system are investigated with respect to the angular velocity of the secondary body, the mass ratio…

Earth and Planetary Astrophysics · Physics 2023-07-26 L. B. T. Santos , Allan Kardec de Almeida , P. A. Sousa-Silva , M. O. Terra , D. M. Sanchez , S. Aljbaae , A. F. B. A. Prado , F Monteiro

Proper quantification of predictive uncertainty is essential for the use of machine learning in safety-critical applications. Various uncertainty measures have been proposed for this purpose, typically claiming superiority over other…

Machine Learning · Computer Science 2025-12-16 Paul Hofman , Yusuf Sale , Eyke Hüllermeier

We recommend an intensive effort to survey and understand the obliquity distribution of small close-in extrasolar planets over the coming decade. The orbital obliquities of exoplanets--i.e., the relative orientation between the planetary…