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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

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 motion of satellite constellations similar to GPS and Galileo is numerically simulated and, then, the region where bifurcation (double positioning) occurs is appropriately represented. In the cases of double positioning, the true…

General Relativity and Quantum Cosmology · Physics 2014-04-04 Neus Puchades , Diego Sáez

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

A moment approach for orbit determinations of an astrometric binary with low signal-to-noise ratio from astrometric observations alone is proposed, especially aiming at a close binary system with a short orbital period such as Cyg-X1 and…

Solar and Stellar Astrophysics · Physics 2015-06-11 Hirofumi Iwama , Hideki Asada , Kei Yamada

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

We present a new method for computing orbits in the perturbed two-body problem: the position and velocity vectors of the propagated object in Cartesian coordinates are replaced by eight orbital elements, i.e., constants of the unperturbed…

Classical Physics · Physics 2020-03-11 Giulio Baù , Javier Roa

We present STEEL a STatistical sEmi-Empirical modeL designed to probe the distribution of satellite galaxies in groups and clusters. Our fast statistical methodology relies on tracing the abundances of central and satellite haloes via their…

Astrophysics of Galaxies · Physics 2018-12-04 P. J. Grylls , F. Shankar , L. Zanisi , M. Bernardi

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

Navigation satellites are a core component of navigation satellite based systems such as GPS, GLONASS and Galileo which provide location and timing information for a variety of uses. Such satellites are designed for operating on orbit to…

Systems and Control · Computer Science 2014-10-24 Zhaoguang Peng , Yu Lu , Alice Miller , Tingdi Zhao , Chris Johnson

4 emitters broadcasting an increasing electromagnetic signal generate a system of relativistic coordinates for the space-time, called emission coordinates. Their physical realization requires an apparatus similar to the one of the Global…

General Relativity and Quantum Cosmology · Physics 2016-08-16 José María Pozo

Accurate and low-latency positioning is a key enabler for optical links with Low Earth Orbit (LEO) satellites, where millisecond-level beam alignment is required to maintain reliable high-data-rate communication. This paper presents a…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Mohammad Taghi Dabiri , Rula Ammuri , Mazen Hasna , Khalid Qaraqe

The behavior of orbits in charged-particle beam transport systems, including both linear and circular accelerators as well as final focus sections and spectrometers, can depend sensitively on nonlinear fringe-field and high-order-multipole…

Accelerator Physics · Physics 2014-11-20 Chad E. Mitchell , Alex J. Dragt

The use of regional coverage satellite constellations is on the rise, urging the need for an optimal constellation design method for complex regional coverage. Traditional constellations are often designed for continuous global coverage,…

Optimization and Control · Mathematics 2020-11-30 Hang Woon Lee , Seiichi Shimizu , Shoji Yoshikawa , Koki Ho

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 present orbital elements, orbital parallaxes and individual component masses, for fourteen spatially resolved double-line spectroscopic binaries derived doing a simultaneous fit of their visual orbit and radial velocity curve. This was…

Solar and Stellar Astrophysics · Physics 2022-02-16 Jennifer Anguita-Aguero , Rene A. Mendez , Ruben M. Claveria , Edgardo Costa

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

Recent observations as well as theoretical studies of YSO jets suggest the presence of two steady components: a disk wind type outflow needed to explain the observed high mass loss rates and a stellar wind type outflow probably accounting…

Astrophysics of Galaxies · Physics 2015-05-13 T. Matsakos , S. Massaglia , E. Trussoni , K. Tsinganos , N. Vlahakis , C. Sauty , A. Mignone

Normal form stability estimates are a basic tool of Celestial Mechanics for characterizing the long-term stability of the orbits of natural and artificial bodies. Using high-order normal form constructions, we provide three different…

Dynamical Systems · Mathematics 2021-10-13 Irene De Blasi , Alessandra Celletti , Christos Efthymiopoulos
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