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Related papers: A principal positioning system for the Earth

200 papers

Fully relativistic coordinates have been proposed for (relativistically) running a "GPS" system. These coordinates are the arrival times of the light signals emitted by four "satellites" (clocks). Replacing the signals emitted by four…

General Relativity and Quantum Cosmology · Physics 2009-05-27 Bartolome Coll , Albert Tarantola

We consider Earth satellite orbits in the range of semi-major axes where the perturbing effects of Earth's oblateness and lunisolar gravity are of comparable order. This range covers the medium-Earth orbits (MEO) of the Global Navigation…

Earth and Planetary Astrophysics · Physics 2016-10-26 Ioannis Gkolias , Jerome Daquin , Fabien Gachet , Aaron J. Rosengren

Unlike in terrestrial cellular networks, certain frequency bands for low-earth orbit (LEO) satellite systems have thus far been allocated on a non-exclusive basis. In this context, systems that launch their satellites earlier (referred to…

Signal Processing · Electrical Eng. & Systems 2025-10-06 Jeong Min Kong , Eunsun Kim , Ian P. Roberts

Geostationary Earth orbit (GEO) satellites are of great significance in the space market. Low-thrust propulsion has been highly developed in the last decades because it is fuel-saving. Therefore, the design of GEO satellites is rapidly…

Optimization and Control · Mathematics 2019-09-20 Haiyang Li , Francesco Topputo , Hexi Baoyin

We consider the feasibility of using the Galileo Navigation Satellite System to constrain possible extensions or modifications to General Relativity, by assessing the impact of the related additions to the Newtonian potential and comparing…

General Relativity and Quantum Cosmology · Physics 2011-08-25 O. Bertolami , J. Páramos

Placing satellites in geostationary obital (GEO) is propellant exigeant. It requires large propellant consumption that will take a large part of the total mass. Hence the interest is reduce the mass of propellant loaded both in the rocket…

Space Physics · Physics 2007-05-23 S. Ng

A Dyson ring is a hypothetical megastructure, that a very advanced civilization would build around a star to harness more of its energy. Satellite propagation is of high priority in such a vast world where distances could very well be…

Space Physics · Physics 2024-07-16 Teerth Raval , Dhruv Srikanth

The contemporary landscape of wireless technology underscores the critical role of precise localization services. Traditional global navigation satellite systems (GNSS)-based solutions, however, fall short when it comes to indoor…

Signal Processing · Electrical Eng. & Systems 2025-02-14 Pinjun Zheng , Xing Liu , Yuchen Zhang , Jiguang He , Gonzalo Seco-Granados , Tareq Y. Al-Naffouri

In this article we outline the structure of a general relativistic astrometric model which has been developed to deduce the position and proper motion of stars from 1-microarcsecond optical observations made by an astrometric satellite…

Images of both rotating celestial bodies (e.g., asteroids) and spheroidal planets with banded atmospheres (e.g., Jupiter) can contain features that are well-modeled as a circle of latitude (CoL). The projections of these CoLs appear as…

Earth and Planetary Astrophysics · Physics 2023-02-08 John A. Christian

Relativistic stereometric coordinates supplied by relativistic auto-locating positioning systems made up of four satellites supplemented by a fifth one are defined in addition to the well-known emission and reception coordinates. Such a…

Mathematical Physics · Physics 2014-07-23 Jacques L. Rubin

Low Earth Orbit (LEO) satellites have gained increasing attention as potential signal sources for Positioning, Navigation and Timing (PNT) applications. However, while most existing studies focus on multi-satellite LEO constellations, the…

Signal Processing · Electrical Eng. & Systems 2026-03-23 Qi Liu , Marc Fernandez-Temprado , Antoni Reus-Bergas , Gonzalo Seco-Granados , Jose A. Lopez-Salcedo

Recent studies have shown that the medium-Earth orbit (MEO) region of the Global Navigation Satellite Systems is permeated by a devious network of lunisolar secular resonances, which can interact to produce chaotic and diffusive motions.…

Earth and Planetary Astrophysics · Physics 2015-12-21 Aaron J. Rosengren , Jerome Daquin , Elisa Maria Alessi , Florent Deleflie , Alessandro Rossi , Giovanni B. Valsecchi

In practice, low Earth orbit (LEO) and medium Earth orbit (MEO) satellite networks consist of multiple orbits which are populated with many satellites. A widely used spatial architecture for LEO or MEO satellites is the Walker…

Information Theory · Computer Science 2025-08-04 Chang-Sik Choi , Francois Baccelli

Uncertainties in the satellite world lines lead to dominant positioning errors. In the present work, using the approach presented in \cite{neu14}, a new analysis of these errors is developed inside a great region surrounding Earth. This…

General Relativity and Quantum Cosmology · Physics 2021-07-27 Neus Puchades Colmenero , José Vicente Arnau Córdoba , Màrius Josep Fullana i Alfonso

Xona is deploying Pulsar, a low Earth orbit (LEO) commercial navigation system designed to deliver resilient positioning, navigation, and timing (PNT) where traditional solutions fall short. Pulsar satellites broadcast dedicated signals…

Signal Processing · Electrical Eng. & Systems 2026-02-09 Thyagaraja Marathe , Tyler G. R. Reid , Srinivas Tantry , Michael O'Meara

Contrary to popular belief, the global positioning problem on earth may have more than one solutions even if the user position is restricted to a sphere. With 3 satellites, we show that there can be up to 4 solutions on a sphere. With 4 or…

Metric Geometry · Mathematics 2025-05-08 Mireille Boutin , Rob Eggermont , Gregor Kemper

We extend to three dimensions the proposal of a completely relativistic positioning system (rPS). The system does not rely on approximations, in fact, it works at a few Schwarzschild radii from a black hole, and it does not rely on…

General Relativity and Quantum Cosmology · Physics 2023-09-06 S. Carloni , L. Fatibene , M. Ferraris , R. G. McLenaghan , A. Orizzonte

In this contribution we present two new proposals for measuring the general relativistic gravitomagnetic component of the gravitational field of the Earth. One proposal consists of the measurement of the difference of the rates of the…

General Relativity and Quantum Cosmology · Physics 2007-11-12 Lorenzo Iorio

This paper presents a system-level engineering approach for the preliminary coverage performance analysis and the design of a generic Global Navigation Satellite System (GNSS) constellation. This analysis accounts for both the coverage…

Instrumentation and Methods for Astrophysics · Physics 2020-09-22 Marco Nugnes , Camilla Colombo , Massimo Tipaldi