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Global navigation satellite systems use appropriate satellite constellations to get the coordinates of an user -close to Earth- in an almost inertial reference system. We have simulated both GPS and GALILEO constellations. Uncertainties in…

General Relativity and Quantum Cosmology · Physics 2014-04-03 Neus Puchades , Diego Sáez

A general theory of frames of reference proposed in a preceding publication is considered here in the framework of the post-Newtonian approximation, assuming that the frame of reference is centered on a time-like geodesic. The problem of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ll. Bel

We consider imaging of fast moving small objects in space, such as low earth orbit satellites. The imaging system consists of ground based, asynchronous sources of radiation and several passive receivers above the dense atmosphere. We use…

Signal Processing · Electrical Eng. & Systems 2020-03-03 Matan Leibovich , George Papanicolaou , Chrysoula Tsogka

In this work, we research and evaluate multiple pose-graph fusion strategies for vehicle localization. We focus on fusing a single absolute localization system, i.e. automotive-grade Global Navigation Satellite System (GNSS) at 1 Hertz,…

Signal Processing · Electrical Eng. & Systems 2018-03-22 Anweshan Das , Gijs Dubbelman

In a recent paper we discussed when it is possible to define reference frames nonrotating with respect to distant inertial reference objects (extension of the IAU reference systems to exact general relativity), and how to construct them. We…

General Relativity and Quantum Cosmology · Physics 2026-04-03 L. Filipe O. Costa , Francisco Frutos-Alfaro , José Natário , Michael Soffel

Planetary exploration increasingly relies on autonomous robotic systems capable of perceiving, interpreting, and reconstructing their surroundings in the absence of global positioning or real-time communication with Earth. Rovers operating…

Maps are essential for diverse applications, such as vehicle navigation and autonomous robotics. Both require spatial models for effective route planning and localization. This paper addresses the challenge of road graph construction for…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Balázs Opra , Betty Le Dem , Jeffrey M. Walls , Dimitar Lukarski , Cyrill Stachniss

For reliable operation on urban roads, navigation using the Global Navigation Satellite System (GNSS) requires both accurately estimating the positioning detail from GNSS pseudorange measurements and determining when the estimated position…

Robotics · Computer Science 2021-10-26 Shubh Gupta , Grace X. Gao

Visual Teach and Repeat has shown relative navigation is a robust and efficient solution for autonomous vision-based path following in difficult environments. Adding additional absolute sensors such as Global Navigation Satellite Systems…

Robotics · Computer Science 2021-07-20 Benjamin Congram , Timothy D. Barfoot

Space Vehicle (SV) life span depends on its station keeping capability. Station keeping is the ability of the vehicle to maintain position and orientation. Due to external perturbations, the trajectory of the SV derives from the ideal…

Signal Processing · Electrical Eng. & Systems 2018-09-27 Arnaud Dion , Vincent Calmettes , Michel Bousquet , Emmanuel Boutillon

To mitigate spoofing attacks targeting global navigation satellite systems (GNSS) receivers, one promising method is to rely on alternative time sources, such as network-based synchronization, in order to detect clock offset discrepancies…

Cryptography and Security · Computer Science 2022-02-23 M. Spanghero , P. Papadimitratos

Our spacetime is filled with gravitational wave backgrounds that constitute a fluctuating environment created by astrophysical and cosmological sources. Bounds on these backgrounds are obtained from cosmological and astrophysical data but…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Serge Reynaud , Brahim Lamine , Loic Duchayne , Peter Wolf , Marc-Thierry Jaekel

An external reference system suitable for deep space navigation can be defined by fast spinning and strongly magnetized neutron stars, called pulsars. Their beamed periodic signals have timing stabilities comparable to atomic clocks and…

High Energy Astrophysical Phenomena · Physics 2013-11-21 Werner Becker , Mike G. Bernhardt , Axel Jessner

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

Global Navigation Satellite Systems (GNSS) provide precise location, while Real Time Kinematics (RTK) allow mobile receivers (termed rovers), leveraging fixed stations, to correct errors in their Position Navigation and Timing (PNT)…

Cryptography and Security · Computer Science 2024-05-20 Marco Spanghero , Panos Papadimitratos

Global Positioning System (GPS) satellites are essential for providing accurate navigation and timing information worldwide. Operating in medium Earth orbit (MEO), these satellites must maintain precise Earth-pointing attitudes to transmit…

Systems and Control · Electrical Eng. & Systems 2025-08-11 Oliullah Samir

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

Formal definition of the reference frame is given. This definition is valid for nonrelativistic and relativistic cases. Proposed definition allows using wide classes of reference frames without restriction to inertial, uniformly accelerated…

Classical Physics · Physics 2014-03-10 Oleg Igorevich Drivotin

Modern feed-forward 3D reconstruction methods like VGGT predict pixel-aligned pointmaps in camera-centric coordinate frames. However, this choice of coordinate frame is not always optimal. We propose instead to predict pointmaps in upright,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Bharath Raj Nagoor Kani , Noah Snavely

We propose GGS, a Generalizable Gaussian Splatting method for Autonomous Driving which can achieve realistic rendering under large viewpoint changes. Previous generalizable 3D gaussian splatting methods are limited to rendering novel views…

Computer Vision and Pattern Recognition · Computer Science 2024-09-05 Huasong Han , Kaixuan Zhou , Xiaoxiao Long , Yusen Wang , Chunxia Xiao