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The relativity of Global Positioning System (GPS) pseudorange measurements is explored within the geometrical optics approximation in the curved space-time near Earth. A space-time grid for navigation is created by the discontinuities…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Thomas B. Bahder

We examine how the new forthcoming Earth gravity models from the CHAMP and, especially, GRACE missions could improve the measurement of the general relativistic Lense-Thirring effect according to the various kinds of observables which could…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Lorenzo Iorio

The low frequency sensitivity of space-borne gravitational wave observatories will depend critically on the geodetic purity of the trajectories of orbiting test masses. Fluctuations in the temperature difference across the enclosure…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. Carbone , A. Cavalleri , G. Ciani , R. Dolesi , M. Hueller , D. Tombolato , S. Vitale , W. J. Weber

The existing high technology laser-beam detectors of gravitational waves may find very useful applications in an unexpected area - geophysics. To make possible the detection of weak gravitational waves in the region of high frequencies of…

General Relativity and Quantum Cosmology · Physics 2014-11-17 L. P. Grishchuk , V. V. Kulagin , V. N. Rudenko , A. Serdobolski

Inertial sensors stimulate very large interest, not only for their application but also for fundamental physics tests. Ring laser gyros, which measure angular rotation rate, are certainly among the most sensitive inertial sensors, with…

General Relativity and Quantum Cosmology · Physics 2020-08-10 Angela D. V. Di Virgilio , Nicolò Beverini , Giorgio Carelli , Donatella Ciampini , Francesco Fuso , Enrico Maccioni

After a brief introduction on the scientific objectives of the LARES/WEBER-SAT satellite we present the recent measurement of the Lense-Thirring effect using the nodes of the LAGEOS and LAGEOS 2 satellites and using the Earth gravity model…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ignazio Ciufolini

A Drag-Free CubeSat mission has been proposed to demonstrate the feasibility of a Gravitational Reference Sensor (GRS) with an optical readout for a 3 units (3U) spacecraft. A purely drag-free object is defined by the absence of all…

Recently, gravity has been highlighted as a crucial constraint for state estimation to alleviate potential vertical drift. Existing online gravity estimation methods rely on pose estimation combined with IMU measurements, which is…

Robotics · Computer Science 2025-02-24 Chiyun Noh , Wooseong Yang , Minwoo Jung , Sangwoo Jung , Ayoung Kim

Accurate localization is a core component of a robot's navigation system. To this end, global navigation satellite systems (GNSS) can provide absolute measurements outdoors and, therefore, eliminate long-term drift. However, fusing GNSS…

Robotics · Computer Science 2024-10-10 Jonas Beuchert , Marco Camurri , Maurice Fallon

SAGE (SagnAc interferometer for Gravitational wavE) is a fast track project for a space observatory based on multiple 12-U CubeSats in geostationary orbit. The objective of this project is to create a Sagnac interferometer with 73000 km…

Instrumentation and Methods for Astrophysics · Physics 2018-07-03 S. Lacour , M. Nowak , P. Bourget , F. Vincent , A. Kellerer , V. Lapeyrere , L. David , A. Le Tiec , O. Straub , J. Woillez

Several satellite missions, devoted to the study of the Earth gravity field, have been launched (like CHAMP, recently). This year, GRACE (Gravity Recovery and Climate Experiment) will allow us to obtain a more precise geoid. But the most…

Astrophysics · Physics 2007-11-29 G. Bourda

Tetrahedral configurations of spacecraft on unperturbed heliocentric orbits allow for highly precise observations of small spatial changes in the gravitational field, especially those affecting the gravity gradient tensor (GGT). The…

General Relativity and Quantum Cosmology · Physics 2024-04-26 Slava G. Turyshev , Sheng-wey Chiow , Nan Yu

Gravitational-wave displacement memory is a remarkable and ubiquitous phenomenon predicted by general relativity, which has not yet been detected. Unlike the oscillatory components of gravitational waveforms, displacement memory is…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Yan Cao , Yong-Liang Ma , Yong Tang

In this paper, we develop a new approach to gravity-gradient noise subtraction for underground gravitational-wave detectors in homogeneous rock. The method is based on spatial harmonic expansions of seismic fields. It is shown that…

General Relativity and Quantum Cosmology · Physics 2009-10-16 Jan Harms , Riccardo DeSalvo , Steven Dorsher , Vuk Mandic

The microhertz frequency band of gravitational waves probes the merger of supermassive black holes as well as many other gravitational wave phenomena. However, space-interferometry methods that use test masses would require further…

Instrumentation and Methods for Astrophysics · Physics 2025-09-29 Matthew McQuinn , Casey McGrath

In this article, which will appear as a chapter in the Handbook of Gravitational Wave Astronomy, we will describe the detection of gravitational waves with space-based interferometric gravitational wave observatories. We will provide an…

General Relativity and Quantum Cosmology · Physics 2022-01-27 Jonathan R Gair , Martin Hewitson , Antoine Petiteau , Guido Mueller

We develop a high-precision model for laser ranging interferometric (LRI) observables of the GRACE Follow-On (GRACE-FO) mission. For this, we study the propagation of an electromagnetic wave in the gravitational field in the vicinity of an…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Slava G. Turyshev , Mikhail V. Sazhin , Viktor T. Toth

In this Note, a new approach to spacecraft positioning based on GGT inversion is presented. The gravity gradient tensor is initially measured in the gradiometer reference frame (GRF) and then transformed to the Earth-Centered Earth-Fixed…

Instrumentation and Methods for Astrophysics · Physics 2016-08-12 Pei Chen , Xiucong Sun , Chao Han
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