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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…

We consider the Keplerian distance $d$ in the case of two elliptic orbits, i.e. the distance between one point on the first ellipse and one point on the second one, assuming they have a common focus. The absolute minimum $d_{\rm min}$ of…

Mathematical Physics · Physics 2023-05-25 Giovanni F. Gronchi , Giulio Baù , Clara Grassi

A complete treatment of the intersections of two geodesics on the surface of an ellipsoid of revolution is given. With a suitable metric for the distances between intersections, bounds are placed on their spacing. This leads to fast and…

Geophysics · Physics 2024-04-02 Charles F. F. Karney

In order to avoid collisions with space debris, the near Earth orbit must be continuously scanned by either ground- or spaced-based facilities. For the low Earth orbit, radar telescopes are the workhorse for this task, especially due to…

Instrumentation and Methods for Astrophysics · Physics 2015-01-26 Daniel Hampf , Paul Wagner , Wolfgang Riede

We estimate the conditions for detectability of two planets in a 2/1 mean-motion resonance from radial velocity data, as a function of their masses, number of observations and the signal-to-noise ratio. Even for a data set of the order of…

Earth and Planetary Astrophysics · Physics 2009-07-22 C. A. Giuppone , M. Tadeu dos Santos , C. Beaugé , S. Ferraz-Mello , T. A. Michtchenko

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

Satellite constellation systems are becoming more attractive to provide communication services worldwide, especially in areas without network connectivity. While optimizing satellite gateway placement is crucial for operators to minimize…

Systems and Control · Electrical Eng. & Systems 2026-02-04 Yuma Abe , Flor Ortiz , Eva Lagunas , Victor Monzon Baeza , Symeon Chatzinotas , Hiroyuki Tsuji

To address the need for robust positioning, navigation, and timing services in lunar environments, this paper proposes a novel fault detection framework for satellite constellations using inter-satellite ranging (ISR). Traditionally,…

Robotics · Computer Science 2025-10-14 Keidai Iiyama , Daniel Neamati , Grace Gao

Projection methods are popular algorithms for iteratively solving feasibility problems in Euclidean or even Hilbert spaces. They employ (selections of) nearest point mappings to generate sequences that are designed to approximate a point in…

Optimization and Control · Mathematics 2019-01-25 Heinz H. Bauschke , Sylvain Gretchko , Walaa M. Moursi

The orbits of the confirmed exoplanets from all multiple systems known to date are investigated. Observational data from 1890 objects, of which 1176 are found in multiplanetary systems, are compiled and analyzed. Mean motion resonances and…

Earth and Planetary Astrophysics · Physics 2015-02-26 Marian C. Ghilea

We present an efficient algorithm to compute tight upper bounds of collision probability between two objects with positional uncertainties, whose error distributions are represented with non-Gaussian forms. Our approach can handle noisy…

Robotics · Computer Science 2019-12-17 Jae Sung Park , Dinesh Manocha

This paper investigates the mission planning problem for spacecraft confronting orbital debris to achieve autonomous avoidance. Firstly, combined with the avoidance requirements, a closed-loop framework of autonomous avoidance for orbital…

Robotics · Computer Science 2024-09-20 Chen Xingwen , Wang Tong , Qiu Jianbin , Feng Jianbo

Satellites around large asteroids are preferentially found among those with the most rapid rotation and elongated shape. The taxonomic statistics are similarly skewed; in total, 13 asteroids larger than 100 km are known to have satellites,…

Earth and Planetary Astrophysics · Physics 2025-05-07 Kevin J. Walsh , Ronald-Louis Ballouz , Harrison F. Agrusa , Josef Hanus , Martin Jutzi , Patrick Michel

This study presents autonomous guidance and control strategies for the purpose of reconfiguring close-range multi-satellite formations. The formation under consideration includes $N$ under-actuated deputy satellites and an uncontrolled…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Ahmed Mahfouz , Gabriella Gaias , Florio Dalla Vedova , Holger Voos

Summary: In the past decade both scientists and laymen have probably heard at least once through the newspapers, TV and Internet that a new asteroid has been discovered with non-zero (sometimes "high") probability of collision with the…

Space Physics · Physics 2013-04-29 Germano D'Abramo

Small satellites have proven to be viable Earth observation platforms. These satellites operate in regimes of increased trajectory uncertainty where traditional planning approaches can lead to sub-optimal task plans, limiting science…

Systems and Control · Computer Science 2019-05-07 Duncan Eddy , Mykel Kochenderfer

This paper presents an analysis of optimal impact strategies to deflect potentially dangerous asteroids. To compute the increase in the minimum orbit intersection distance of the asteroid due to an impact with a spacecraft, simple…

Optimization and Control · Mathematics 2011-05-02 Massimiliano Vasile , Camilla Colombo

Satellite constellations in low-Earth orbit are now widespread, enabling positioning, Earth imaging, and communications. In this paper we address the solution of learning problems using these satellite constellations. In particular, we…

Machine Learning · Computer Science 2025-11-26 Ruxandra-Stefania Tudose , Moritz H. W. Grüss , Grace Ra Kim , Karl H. Johansson , Nicola Bastianello

There is ever growing demand for satellite constellations that perform global positioning, remote sensing, earth-imaging and relay communication. In these highly prized orbits, there are many obsolete and abandoned satellites and components…

Robotics · Computer Science 2018-09-07 Himangshu Kalita , Roberto Furfaro , Jekan Thangavelautham

Proximity-based interference is a growing threat to satellite communications, driven by dense multi-orbit constellations and increasingly agile adversarial maneuvers. We propose a hybrid simulation framework that integrates orbital maneuver…

Signal Processing · Electrical Eng. & Systems 2025-09-03 Anouar Boumeftah , Gunes Karabulut Kurt