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Related papers: Relativistic Positioning Systems: Numerical Simula…

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Emission relativistic coordinates are a class of spacetime coordinates defined and generated by four emitters (satellites, pulsars) broadcasting their proper time by radio signals. They are the main ingredient of the simplest conceivable…

General Relativity and Quantum Cosmology · Physics 2007-10-09 J. -F. Pascual-Sanchez

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

Global Positioning System (GPS) is a satellite network that transmits regularly encoded information and makes it possible to pinpoint the exact location on Earth by measuring the distance between satellites and the receiver. While GPS…

Systems and Control · Computer Science 2018-03-23 Mehmet Serdar Güzel , Erkan Meral

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

In satellite communications both polarizations of an electromagnetic wave are used to transmit two separate signals. These two independent signals can be merged to form one dual-polarization, four-dimensional signal. The present article…

Information Theory · Computer Science 2015-11-17 Lionel Arend , Jens Krause , Michel Marso , Ray Sperber

A relativistic positioning system is a physical realization of a coordinate system consisting in four clocks in arbitrary motion broadcasting their proper times. The basic elements of the relativistic positioning systems are presented in…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Bartolomé Coll , Joan Josep Ferrando , Juan Antonio Morales

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

The theory of relativistic {\em location systems} is sketched. An interesting class of these systems is that of relativistic {\em positioning systems,} which consists in sets of four clocks broadcasting their proper time. Among them, the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Bartolomé Coll

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

Nowadays, the Global Navigation Satellite Systems (GNSS), working like global positioning systems, are the GPS (NAVSTAR) and the GLONASS, which only are operative when several relativistic effects are corrected. In the next years the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. -F. Pascual-Sánchez

The project SYPOR wishes to use the global navigation satellite system GALILEO as an autonomous relativistic positioning system for the Earth. Motivations and a sketch of the basic concepts underlying the project are presented. For non…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bartolomé Coll

In normal observation procedures, the position of the observer is specified by GPS and celestial positions of an object will be calculated. But in some situations, like small zenith angle FOVs, GPS doesn't work. Therefore in this study, the…

Instrumentation and Methods for Astrophysics · Physics 2018-06-05 Meysam Izadmehr , Mehdi Khakian Ghom

This paper proposes a novel positioning technique suitable for use in mobile robots in urban environments in which large global navigation satellite system (GNSS) positioning errors occur because of multipath signals. During GNSS…

Robotics · Computer Science 2024-01-17 Taro Suzuki

The acquisition of the signal from the satellite based positioning systems, such as GPS, Galileo, and Compass, encounters challenges in the urban streets, indoor. For improving the acquisition performance, the data accumulation is usually…

Information Theory · Computer Science 2017-04-19 Pengda Wong

The expected position error in many cases is far from feasible to be estimated experimentally using real satellite measurements which makes the model-based position dilution of precision (PDOP) crucial in positioning and navigation…

Applications · Statistics 2020-01-30 Alexandra Koulouri , Ville Rimpiläinen , Nathan D. Smith

Standalone Global Navigation Satellite Systems (GNSS) are known to provide positioning accuracy of a few meters in open sky conditions. This accuracy can drop significantly when the line-of-sight (LOS) paths to some GNSS satellites are…

Information Theory · Computer Science 2020-04-17 Zohair Abu-Shaban , Gonzalo Seco-Granados , Craig R. Benson , Henk Wymeersch

A general approach to the problem of positioning by means of pulsars or other pulsating sources located at infinity is described. The counting of the pulses for a set of different sources whose positions in the sky and periods are assumed…

General Relativity and Quantum Cosmology · Physics 2015-05-14 A. Tartaglia

In recent years, a large number of geosynchronous satellites are being planned to provide augmentation services for enhancing the precision to global positioning systems, e.g., GPS, in applications such as aircraft landing. In this paper,…

Space Physics · Physics 2011-09-23 C. R. Subrahmanya , Peeyush Prasad , R. Somashekar

In conventional global navigation satellite system (GNSS) receivers, usually full pseudorange measurements are required to complete a single point position fix. However, to obtain full pseudorange measurements takes longer time than for…

Signal Processing · Electrical Eng. & Systems 2020-11-26 Sihao Zhao , Xiaowei Cui , Mingquan Lu

The Global Positioning System (GPS) is a U.S. space-based radionavigation system that provides reliable positioning, navigation, and timing services to civilian users on a continuous worldwide basis -- freely available to all. GPS provides…

Networking and Internet Architecture · Computer Science 2010-01-26 S. S. Riaz Ahamed