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A simple position probability density formulation is presented for the motion of a particle in a spherically symmetric potential. The approach provides an alternative to Newtonian methods for presentation in an elementary course, and…

Physics Education · Physics 2007-05-23 Lorenzo J. Curtis , David G. Ellis

We propose two algorithms to provide a full preliminary orbit of an Earth-orbiting object with a number of observations lower than the classical methods, such as those by Laplace and Gauss. The first one is the Virtual debris algorithm,…

Space Physics · Physics 2015-05-14 D. Farnocchia , G. Tommei , A. Milani , A. Rossi

Localization, or position fixing, is an important problem in robotics research. In this paper, we propose a novel approach for long-term localization in a changing environment using 3D LiDAR. We first create the map of a real environment…

Robotics · Computer Science 2019-10-29 Yilong Zhu , Bohuan Xue , Linwei Zheng , Huaiyang Huang , Ming Liu , Rui Fan

Vision sensors are extensively used for localizing a robot's pose, particularly in environments where global localization tools such as GPS or motion capture systems are unavailable. In many visual navigation systems, localization is…

Robotics · Computer Science 2025-02-04 Dabin Kim , Inkyu Jang , Youngsoo Han , Sunwoo Hwang , H. Jin Kim

This paper revisits the problem of orientation estimation for rigid bodies through a novel framework based on scalar measurements. Unlike traditional vector-based methods, the proposed approach enables selective utilization of only the…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Hassan Alnahhal , Sifeddine Benahmed , Soulaimane Berkane , Tarel Hamel

This paper presents a novel 3DOF pedestrian trajectory prediction approach for autonomous mobile service robots. While most previously reported methods are based on learning of 2D positions in monocular camera images, our approach uses…

Computer Vision and Pattern Recognition · Computer Science 2017-10-03 Li Sun , Zhi Yan , Sergi Molina Mellado , Marc Hanheide , Tom Duckett

We demonstrate area-enclosing atom interferometry based on a moving guide. Light pulses along the free propagation direction of a magnetic guide are applied to split and recombine the confined atomic matter-wave, while the atoms are…

Atomic Physics · Physics 2010-10-15 Saijun Wu , Edward J. Su , Mara Prentiss

Humans can robustly follow a visual trajectory defined by a sequence of images (i.e. a video) regardless of substantial changes in the environment or the presence of obstacles. We aim at endowing similar visual navigation capabilities to…

Performing interferometry in an optical lattice formed by standing waves of light offers potential advantages over its free-space equivalents since the atoms can be confined and manipulated by the optical potential. We demonstrate such an…

The problem of mobile position estimation in multipath scenarios is addressed. A low-complexity, fully-adaptive algorithm is proposed, based on the pseudo maximum likelihood approach. The processing is done exclusively on-board at the…

Signal Processing · Electrical Eng. & Systems 2019-02-12 Alessio Fascista , Angelo Coluccia , Giuseppe Ricci

We use a semi-numerical method to find the position and period of periodic orbits in a bisymmetrical potential, made up of a two dimensional harmonic oscillator, with an additional term of a Plummer potential, in a number of resonant cases.…

Computational Physics · Physics 2012-02-21 Nicolaos D. Caranicolas , Euaggelos E. Zotos

We propose a computer-efficient and accurate method of estimation of spatially correlated errors in astrometric positions, parallaxes and proper motions obtained by space and ground-based astrometry missions. In our method, the simulated…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 V. V. Makarov , B. N. Dorland , R. A. Gaume , G. S. Hennessy , C. T. Berghea , R. P. Dudik , H. R. Schmitt

We propose the Particle Swarm Optimization (PSO) as an alternative method for locating periodic orbits in a three--dimensional (3D) model of barred galaxies. We develop an appropriate scheme that transforms the problem of finding periodic…

Astrophysics · Physics 2009-11-10 Ch. Skokos , K. E. Parsopoulos , P. A. Patsis , M. N. Vrahatis

Tests of local position invariance (LPI) made by comparing the relative redshift of atomic clocks based on different atoms have been carried out for a variety of pairs of atomic species. In most cases, several absolute frequency…

This paper proposes a Simultaneous Calibration and Navigation (SCAN) algorithm of a multiple Ultrasonic Local Positioning Systems (ULPSs) that cover an extensive indoor area. The idea is the development of the same concept than SLAM…

Signal Processing · Electrical Eng. & Systems 2024-02-07 David Gualda , Jesus Urena , Juan C. Garcia , Enrique Garcia , Jose Alcala

This work describes the implementation of a simple and computationally efficient Intelligent Navigation System (INS) for autonomous systems used in areas where human access is impossible. The system uses Laser Range Finder (LRF) readings as…

The variational local moment approach (V-LMA), being a modification of the method due to Logan {\it et al}., is presented here. The existence of local moments is taken from the outset and their values are determined through variational…

Strongly Correlated Electrons · Physics 2009-02-03 Anna Kauch , Krzysztof Byczuk

This paper focuses on the attitude motion of spacecraft systems featuring asymmetric spacecraft platforms and unbalanced rotors. Through perturbation expansion, the spacecraft dynamic equation is simplified as a linear periodically…

Dynamical Systems · Mathematics 2025-08-07 Jingyuan Wu , Wenhao Li , Guanhua Feng

The global averaged civilian positioning accuracy is still at meter level for all existing Global Navigation Satellite Systems (GNSSs), and the performance is even worse in urban areas. At lower altitudes than satellites, high altitude…

Signal Processing · Electrical Eng. & Systems 2023-01-03 Hongzhao Zheng , Mohamed Atia , Halim Yanikomeroglu

A method for particle orientation tracking is developed and demonstrated specifically for anisotropic particles. Using (high-speed) multi-camera recordings of anisotropic particles from different viewpoints, we reconstruct the 3D location…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Mees M. Flapper , Elian Bernard , Sander G. Huisman
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