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The technique of mutual approximations accurately gives the central instant at the maximum apparent approximation of two moving natural satellites in the sky plane. This can be used in ephemeris fitting to infer the relative positions…

Typically we can deliver astrometric positions of natural satellites with errors in the 50-150 mas range. Apparent distances from mutual phenomena, have much smaller errors, less than 10 mas. However, this method can only be applied during…

Earth and Planetary Astrophysics · Physics 2019-09-12 B. Morgado , M. Assafin , R. Vieira-Martins , J. I. B. Camargo , A. Dias-Oliveira , A. R. Gomes-Júnior

The amount of debris in orbit has increased significantly over the years. With the recent growth of interest in space exploration, conjunction assessment has become a central issue. One important metric to evaluate conjunction risk is the…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Ricardo N. Ferreira , Marta Guimarães , Cláudia Soares

Satellite conjunctions involving "near misses" of space objects are becoming increasingly likely. One approach to risk analysis for them involves the computation of the collision probability, but this has been regarded as having some…

Applications · Statistics 2022-03-11 Soumaya Elkantassi , Anthony Davison

The one-meter telescope-reflector `Saturn' (D=1 m, F = 4 m) was partially renovated at the Pulkovo observatory at the end of 2014. The telescope was equipped by CCD camera S2C with 14x14 arcmin field of view and 824 mas per pix scale. The…

Over the last quarter-century, spacecraft conjunction assessment has focused on a quantity associated by its advocates with collision probability. This quantity has a well-known dilution feature, where it is small when uncertainty is large,…

Applications · Statistics 2025-04-01 J. Russell Carpenter , Anthony C. Davison , Soumaya Elkantassi , Matthew D. Hejduk

Aerodynamic collision avoidance manoeuvres provide an opportunity for satellites in Low Earth Orbits to reduce the risk during close encounters. With rising numbers of satellites and objects in orbit, satellites experience close encounters…

Space Physics · Physics 2023-06-28 F. Turco , C. Traub , S. Gaißer , J. Burgdorf , S. Klinkner , S. Fasoulas

We carried out observations, with five different instruments ranging in aperture from 0.4m to 10m, of the satellites of Uranus during that planet's 2007 Equinox. Our observations covered specific intervals of time when mutual eclipses and…

A moment approach for orbit determinations of astrometric binaries from astrometric observations alone has been recently studied for a low signal-to-noise ratio (Iwama et al. 2013, PASJ, 65, 2). With avoiding a direct use of the…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Kei Yamada , Masaki Yamaguchi , Hideki Asada , Naoteru Gouda

This paper is related to our previous works [1][2] on the error estimate of the averaging technique, for systems with one fast angular variable. In the cited references, a general method (of mixed analytical and numerical type) has been…

Mathematical Physics · Physics 2011-02-22 Carlo Morosi , Livio Pizzocchero

The observation of gaseous giant planets is of high scientific interest. Although they have been the targets of several spacecraft missions, there still remains a need for continuous ground-based observations. As their atmospheres present…

This paper presents an analytical model for collision probability assessments between de-orbiting or injecting space objects and satellite constellations. Considering the first to be subjected to a continuous tangential acceleration, its…

Instrumentation and Methods for Astrophysics · Physics 2023-05-15 Eduardo Maria Polli , Juan Luis Gonzalo , Camilla Colombo

The solving of scientific and practical application connected with conducting of satellite experiments and measurement demand analysis of geometric and physic conditions according to different kind of models. This is forced in connect of…

Space Physics · Physics 2010-02-26 Atanas Marinov Atanassov

This paper investigates optimal fiducial marker placement on the surface of a satellite performing relative proximity operations with an observer satellite. The absolute and relative translation and attitude equations of motion for the…

Systems and Control · Electrical Eng. & Systems 2025-01-06 Nicholas B. Andrews , Kristi A. Morgansen

In this paper, a new parametrization of the relative motion between two satellites orbiting a central body is presented. The parametrization is based on the nodal elements: a set of angles describing the orbit geometry with respect to the…

Systems and Control · Electrical Eng. & Systems 2021-01-22 Mirko Leomanni , Andrea Garulli , Antonio Giannitrapani , Renato Quartullo

We derive an analytical closed expression to compute the minimum distance (quantified by the angle of separation measured from the center of the Earth) between any two satellites located at the same altitude and in circular orbits. We also…

Instrumentation and Methods for Astrophysics · Physics 2020-12-30 Martín Avendaño , David Arnas , Richard Linares , Miles Lifson

Long-baseline interferometry at optical and near-infrared wavelengths is an emerging technology which is quickly becoming a useful tool to investigate stellar atmospheres and to compare observations with models. Stellar atmosphere models…

Astrophysics · Physics 2007-05-23 Markus Wittkowski

We employ differential astrometric methods to establish a small field reference frame stable at the micro-arcsecond ($\mu$as) level on short timescales using high-cadence simulated observations taken by Gaia in February 2017 of a bright…

Instrumentation and Methods for Astrophysics · Physics 2019-02-20 Ummi Abbas , Beatrice Bucciarelli , Mario G. Lattanzi

Deep models trained using synthetic data require domain adaptation to bridge the gap between the simulation and target environments. State-of-the-art domain adaptation methods often demand sufficient amounts of (unlabelled) data from the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Mohsi Jawaid , Ethan Elms , Yasir Latif , Tat-Jun Chin

Satellite conjunction analysis is the assessment of collision risk during a close encounter between a satellite and another object in orbit. A counterintuitive phenomenon has emerged in the conjunction analysis literature, namely,…

Statistics Theory · Mathematics 2019-07-25 Michael S. Balch , Ryan Martin , Scott Ferson
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