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The density of orbital space debris constitutes an increasing environmental challenge. There are three ways to alleviate the problem: debris mitigation, debris removal and collision avoidance. This paper addresses collision avoidance, by…

Space Physics · Physics 2011-03-10 Creon Levit , William Marshall

Two-line elements are widely used for space operations to predict the orbit with a moderate accuracy for 2-3 days. Local optimization methods, such as the nonlinear least squares method with differential corrections, can estimate a TLE as…

Space Physics · Physics 2019-06-04 Rasit Abay , Sudantha Balage , Melrose Brown , Russell Boyce

An important task within the broader goal of Space Situational Awareness (SSA) is to observe changes in the orbits of satellites, where the data spans thousands of objects over long time scales (decades). The Two-Line Element (TLE) data…

Earth and Planetary Astrophysics · Physics 2023-09-20 David P. Shorten , Yang Yang , John Maclean , Matthew Roughan

Detecting anomalous behaviour of satellites is an important goal within the broader task of space situational awareness. The Two Line Element (TLE) data published by NORAD is the only widely-available, comprehensive source of data for…

Earth and Planetary Astrophysics · Physics 2023-12-06 David P. Shorten , John Maclean , Melissa Humphries , Yang Yang , Matthew Roughan

The emergence of Low Earth Orbit (LEO) satellite constellations dedicated to positioning applications holds the promise of improving the capabilities of existing Global Navigation Satellite Systems (GNSS). However, the absence of…

Earth and Planetary Astrophysics · Physics 2024-02-01 Miquel Garcia-Fernandez

With the rapid advancement of aerospace technology and the large-scale deployment of low Earth orbit (LEO) satellite constellations, the challenges facing astronomical observations and deep space exploration have become increasingly…

Earth and Planetary Astrophysics · Physics 2025-06-17 Zhixin Guo , Qi Shi , Xiaofan Xu , Sixiang Shan , Limin Qin , Linqiang Ge , Rui Zhang , Ya Dai , Hua Zhu , Guowei Jiang

We have used an existing, robotic, multi-lens, all-sky camera system, coupled to a dedicated data reduction pipeline, to automatically determine orbital parameters of satellites in Low Earth Orbit (LEO). Each of the fixed cameras has a…

Instrumentation and Methods for Astrophysics · Physics 2020-04-20 T. P. G. Wijnen , R. Stuik , M. Rodenhuis , M. Langbroek , P. Wijnja

Satellite Earth-observation (EO) time series in the optical and microwave ranges of the electromagnetic spectrum are often irregular due to orbital patterns and cloud obstruction. Compositing addresses these issues but loses information…

We propose a method to account for the Earth oblateness effect in preliminary orbit determination of satellites in low orbits with radar observations. This method is an improvement of the one described in (Gronchi et al 2015), which uses a…

Space Physics · Physics 2018-10-24 Helene Ma , Giovanni F. Gronchi , Davide Bracali Cioci

We present a statistically grounded methodology for recovering physically consistent initial conditions from historical two-line element sets (TLEs), enabling accurate long-arc trajectory reconstruction for distant and highly eccentric…

Earth and Planetary Astrophysics · Physics 2025-07-01 Binyamin Stivi , Vishnuu Mallik , Lamberto Dell'Elce , Aaron J. Rosengren

Context: Transit or eclipse timing variations have proven to be a valuable tool in exoplanet research. However, no simple way to estimate the potential precision of such timing measures has been presented yet, nor are guidelines available…

Earth and Planetary Astrophysics · Physics 2017-03-08 Hans J. Deeg , Brandon Tingley

Low Earth orbit (LEO) satellites offer a promising alternative to global navigation satellite systems for precise positioning; however, their relatively low altitudes make them more susceptible to orbital perturbations, which in turn…

Signal Processing · Electrical Eng. & Systems 2025-11-11 Jie Ma , Pinjun Zheng , Xing Liu , Yuchen Zhang , Ali A. Nasir , Tareq Y. Al-Naffouri

Precise (sub-meter level) real-time navigation using a space-capable single-frequency global positioning system (GPS) receiver and ultra-rapid (real-time) ephemerides from the international global navigation satellite systems service is…

Instrumentation and Methods for Astrophysics · Physics 2017-04-25 Xiucong Sun , Chao Han , Pei Chen

The operation of satellites in very low Earth orbit (VLEO) has been linked to a variety of benefits to both the spacecraft platform and mission design. Critically, for Earth observation (EO) missions a reduction in altitude can enable…

Inaccurate estimates of the thermospheric density are a major source of error in low Earth orbit prediction. To improve orbit prediction, real-time density estimation is required. In this work, we develop a reduced-order dynamic model for…

Space Physics · Physics 2020-04-22 David Gondelach , Richard Linares

In order to improve the effectiveness of conjunction analysis using publically available Two Line Elements (TLEs) a number of strategies are being investigated as part of the Space Traffic Management project at NASA Ames Research Center. To…

Space Physics · Physics 2013-04-04 James Mason

In nonlinear deterministic parameter estimation, the maximum likelihood estimator (MLE) is unable to attain the Cramer-Rao lower bound at low and medium signal-to-noise ratios (SNR) due the threshold and ambiguity phenomena. In order to…

Applications · Statistics 2015-06-19 Achraf Mallat , Sinan Gezici , Davide Dardari , Christophe Craeye , Luc Vandendorpe

Low Earth orbit (LEO) satellites are leveraged to support new position, navigation, and timing (PNT) service alternatives to GNSS. These alternatives require accurate propagation of satellite position and velocity with a realistic…

Machine Learning · Computer Science 2026-02-20 Alex Moody , Penina Axelrad , Rebecca Russell

Detecting orbital anomalies, such as maneuvers, atmospheric decay, and attitude upsets, across the rapidly growing population of low-Earth-orbit (LEO) satellites is a prerequisite for collision avoidance, decay forecasting, and conjunction…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Yong Fu

Recently, Low Earth Orbit (LEO) satellites experience rapid development and satellite edge computing emerges to address the limitation of bent-pipe architecture in existing satellite systems. Introducing energy-consuming computing…

Systems and Control · Electrical Eng. & Systems 2022-03-14 Qing Li , Shangguang Wang , Xiao Ma , Ao Zhou , Fangchun Yang
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