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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

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

The availability of accurate and timely state predictions for objects in near-Earth orbits is becoming increasingly important due to the growing congestion in key orbital regimes. The Two-line Element Set (TLE) catalogue remains, to this…

Earth and Planetary Astrophysics · Physics 2024-12-23 Max I. Hallgarten La Casta , Davide Amato

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

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

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

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

As space becomes increasingly populated with new satellites and systems, modeling and simulating existing and future systems becomes more important. The two-line element set has been a standard format for sharing data about a satellite's…

Earth and Planetary Astrophysics · Physics 2022-03-09 Troy Rockwood , Greg Steeger , Matthew Stein

This paper considers the problem of optimal filtering for partially observed signals taking values on the rotation group. More precisely, one or more components are considered not to be available in the measurement of the attitude of a 3D…

Other Computer Science · Computer Science 2014-09-29 Jeremie Boulanger , Salem Said , Nicolas Le Bihan , Jonathan Manton

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

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

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 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

Single Particle Tracking (SPT) can aid in understanding complex spatio-temporal processes. However, quantifying diffusivity and forces from individual live cell trajectories is complicated by inter- & intra-trajectory kinetic heterogeneity,…

Quantitative Methods · Quantitative Biology 2016-05-19 Christopher P. Calderon

The ability to track a moving vehicle is of crucial importance in numerous applications. The task has often been approached by the importance sampling technique of particle filters due to its ability to model non-linear and non-Gaussian…

Machine Learning · Statistics 2016-11-16 Kira Kempinska , John Shawe-Taylor

Two-Line Elements (TLEs) continue to be the sole public source of orbiter observations. The accuracy of TLE propagations through the Simplified General Perturbations-4 (SGP4) software decreases dramatically as the propagation horizon…

Maintaining a catalog of Resident Space Objects (RSOs) can be cast in a typical Bayesian multi-object estimation problem, where the various sources of uncertainty in the problem - the orbital mechanics, the kinematic states of the…

Applications · Statistics 2018-09-05 Emmanuel Delande , Jeremie Houssineau , Moriba Jah

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

Twisted particle filters are a class of sequential Monte Carlo methods recently introduced by Whiteley and Lee to improve the efficiency of marginal likelihood estimation in state-space models. The purpose of this article is to extend the…

Computation · Statistics 2024-10-30 Juha Ala-Luhtala , Nick Whiteley , Kari Heine , Robert Piche

OGLE III and MOA II are discovering 600-1000 Galactic Bulge microlens events each year. This stretches the resources available for intensive follow-up monitoring of the lightcurves in search of anomalies caused by planets near the lens…

Earth and Planetary Astrophysics · Physics 2015-05-13 Keith Horne , Colin Snodgrass , Yianni Tsapras
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