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Starting from the description of space-time as a curved four-dimensional manifold, null Gaussian coordinates systems as appropriate for relativistic positioning will be discussed. Different approaches and strategies will be reviewed,…

General Relativity and Quantum Cosmology · Physics 2012-12-04 Angelo Tartaglia

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

Sensitive and accurate rotation sensing is a critical requirement for applications such as inertial navigation [1], north-finding [2], geophysical analysis [3], and tests of general relativity [4]. One effective technique used for rotation…

Atomic Physics · Physics 2020-04-07 E. R. Moan , R. A. Horne , T. Arpornthip , Z. Luo , A. J. Fallon , S. J. Berl , C. A. Sackett

Knowing the position of the robot in the world is crucial for navigation. Nowadays, Bayesian filters, such as Kalman and particle-based, are standard approaches in mobile robotics. Recently, end-to-end learning has allowed for scaling-up to…

Robotics · Computer Science 2021-09-10 Daniel Burghardt , Pablo Lanillos

This paper discusses a novel approach for detecting moving massive objects based on the time variation that these objects produce in the local gravitational field measured by several detectors. Such an approach may provide a viable method…

Instrumentation and Detectors · Physics 2012-08-14 Emmanuel David Tannenbaum

Indoor positioning systems (IPSs) have gained attention as outdoor navigation becomes prevalent in everyday life. Research is being actively conducted on how indoor smartphone navigation can be accomplished and improved using received…

Robotics · Computer Science 2025-03-03 Sean Kouma , Rachel Masters

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

We adapt the simulated annealing algorithm to the search of periodic orbits for classical multi-electron atomic systems. This is done by minimizing the n-th return distance to the initial position on a Poincare surface of section under an…

Atomic Physics · Physics 2011-02-17 Francois Mauger , Cristel Chandre , Turgay Uzer

Location retrieval based on visual information is to retrieve the location of an agent (e.g. human, robot) or the area they see by comparing the observations with a certain form of representation of the environment. Existing methods…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Lijun Wei , Valerie Gouet-Brunet , Anthony Cohn

Estimating the absolute orientation of a local system relative to a global navigation satellite system (GNSS) reference often suffers from local minima and high dependency on satellite availability. Existing methods for this alignment task…

Robotics · Computer Science 2026-05-20 Baoshan Song , Matthew Giamou , Penggao Yan , Chunxi Xia , Li-Ta Hsu

In robotics motion is often described from an external perspective, i.e., we give information on the obstacle motion in a mathematical manner with respect to a specific (often inertial) reference frame. In the current work, we propose to…

Robotics · Computer Science 2022-10-27 Lukas Huber , Jean-Jacques Slotine , Aude Billard

In this article, we describe and numerically implement a method for relativistic location in slightly curved but otherwise generic spacetimes. For terrestrial positioning in the context of Global Navigation Satellite Systems, our algorithm…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Justin C. Feng , Filip Hejda , Sante Carloni

Path planning algorithms for unmanned aerial or ground vehicles, in many surveillance applications, rely on Global Positioning System (GPS) information for localization. However, disruption of GPS signals, by intention or otherwise, can…

Optimization and Control · Mathematics 2018-07-12 Kaarthik Sundar , Shriram Srinivasan , Sohum Misra , Sivakumar Rathinam , Rajnikant Sharma

This paper details the design and implementation of a system for predicting and interpolating object location coordinates. Our solution is based on processing inertial measurements and global positioning system data through a Long…

Machine Learning · Computer Science 2023-11-27 Petar Stojković , Predrag Tadić

The exquisite precision of atom interferometers has sparked the interest of a large community for use cases ranging from fundamental physics to geodesy and inertial navigation. However, their practical use for onboard applications is still…

Trajectory estimation of maneuvering objects is applied in numerous tasks like navigation, path planning and visual tracking. Many previous works get impressive results in the strictly controlled condition with accurate prior statistics and…

Information Theory · Computer Science 2020-07-02 Weipeng Li , Xiaogang Yang , Ruitao Lu , Jiwei Fan , Tao Zhang , Chuan He

We present and study a Particle method for the stationary solutions of a class of transport equations. This method is inspired by non-stationary Particle methods, the time variable being replaced by one spatial variable. Particles…

Numerical Analysis · Mathematics 2025-11-13 Rafael Bailo , Julie Binard , Pierre Degond , Pascal Noble

Atmospheric layer structure is a primary factor affecting the precision of single-point satellite positioning. The assumption of electromagnetic wave rectilinear propagation hinders the accurate implementation of ionospheric and…

Atmospheric and Oceanic Physics · Physics 2025-06-26 Hui Qian , Xiaosan Zhu , Dongliang Liu

We propose a method to probe the local density of states (LDOS) of atomic systems that provides both spatial and energy resolution. The method combines atomic and tunneling techniques to supply a simple, yet quantitative and operational,…

Mesoscale and Nanoscale Physics · Physics 2018-11-22 Daniel Gruss , Chih-Chun Chien , Julio Barreiro , Massimiliano Di Ventra , Michael Zwolak

Local navigation is one of the fundamental problems in robot navigation, and numerous approaches have been proposed over the years, including methods such as the Dynamic Window Approach, Model Predictive Control, and more recently, Control…

Robotics · Computer Science 2026-05-18 Scott Fredriksson , Akshit Saradagi , George Nikolakopoulos