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We propose a new method for autonomous navigation in uneven terrains by utilizing a sparse Gaussian Process (SGP) based local perception model. The SGP local perception model is trained on local ranging observation (pointcloud) to learn the…

Robotics · Computer Science 2024-02-22 Hassan Jardali , Mahmoud Ali , Lantao Liu

We address the problem of robot localization using ground penetrating radar (GPR) sensors. Current approaches for localization with GPR sensors require a priori maps of the system's environment as well as access to approximate global…

Robotics · Computer Science 2021-03-30 Alexander Baikovitz , Paloma Sodhi , Michael Dille , Michael Kaess

We present a new measurement of the Lense-Thirring effect on the orbits of the geodetic satellites LAGEOS, LAGEOS II and LARES. This secular precession is a general relativity effect produced by the gravitomagnetic field of the Earth…

General Relativity and Quantum Cosmology · Physics 2019-10-07 David M. Lucchesi , Massimo Visco , Roberto Peron , Massimo Bassan , Giuseppe Pucacco , Carmen Pardini , Luciano Anselmo , Carmelo Magnafico

We present a novel method for recovering world-grounded human motion from monocular video. The main challenge lies in the ambiguity of defining the world coordinate system, which varies between sequences. Previous approaches attempt to…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Zehong Shen , Huaijin Pi , Yan Xia , Zhi Cen , Sida Peng , Zechen Hu , Hujun Bao , Ruizhen Hu , Xiaowei Zhou

A natural two-metric formalism, generated by the world function of the space-time, is used. This circumstance admits one to localize the relative gravitational field, which is described by a tensor.

General Physics · Physics 2011-08-01 Yuri A. Rylov

Graph Transformers (GTs) have demonstrated their advantages across a wide range of tasks. However, the self-attention mechanism in GTs overlooks the graph's inductive biases, particularly biases related to structure, which are crucial for…

Machine Learning · Computer Science 2024-04-25 Chuang Liu , Zelin Yao , Yibing Zhan , Xueqi Ma , Shirui Pan , Wenbin Hu

In this paper it is introduced and studied an alternative theory of gravitation in flat Minkowski space. Using an antisymmetric tensor, which is analogous to the tensor of electromagnetic field, a non-linear connection is introduced. It is…

General Relativity and Quantum Cosmology · Physics 2013-12-17 Kostadin Trencevski , Emilija G. Celakoska , Vladimir Balan

General relativity (GR) characterizes gravity as a geometric properly exhibited as curvature on spacetime. Teleprallelism describes gravity through torsional properties, and can reproduce GR at the level of equations. Similar to f(R)…

General Relativity and Quantum Cosmology · Physics 2017-12-21 Jackson Levi Said

We present an analysis of gravitational wave polarization modes within Gravitational Quantum Field Theory (GQFT), a unified theoretical framework reconciling general relativity and quantum field theory. In the six fundamental polarization:…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Cong Xu , Hong-Bo Jin , Yue-Liang Wu

We explore, in the general relativistic context, the properties of the recently introduced GPS coordinates, as well as those of the associated frames and coframes. We show that they are covariant, and completely independent of any observer.…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Marc Lachieze-Rey

The search for the gravitational energy-momentum tensor is often qualified as an attempt of looking for ``the right answer to the wrong question''. This position does not seem convincing to us. We think that we have found the right answer…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S V Babak , L P Grishchuk

We describe a Simplified Gravitational Reference Sensor (S-GRS), an ultra-precise inertial sensor for future Earth geodesy missions. These sensors are used to measure or compensate for all non-gravitational accelerations of the host…

The direct detection of gravitational waves by ground-based optical interferometers has opened a new window in astronomy. Nevertheless, as these detectors are a combination of two Michelson-Morley like baselines, their sensitivity for…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Mariateresa Crosta , Mario G. Lattanzi , Christophe Le Poncin-Lafitte , Mario Gai , Qi Zhaoxiang , Alberto Vecchiato

The intrinsic metric symmetries for energy-momentum in warped space-time universally reinforce strict spatial flatness in the GR metric formalism. The passive/active energy-charge for the 1686, 1913, and 1915 gravitational laws maintains…

Mathematical Physics · Physics 2008-05-13 Igor Bulyzhenkov

Accurate and continuous monitoring of Earth's gravity field is essential for tracking mass redistribution processes linked to climate variability, hydrological cycles, and geodynamic phenomena. While the GRACE and GRACE Follow-On (GRACE-FO)…

This paper addresses the global exponential attitude tracking of a spacecraft when gyro measurements are corrupted by bias. Based on contraction analysis, an exponentially convergent nonlinear observer is designed first to estimate the gyro…

Systems and Control · Electrical Eng. & Systems 2020-07-09 Eduardo Espíndola-López , Yu Tang Xu

The Gravity Probe B (GP-B) satellite experiment will measure the precession of on-board gyroscopes to extraordinary accuracy. Such precessions are predicted by General Relativity (GR), and one component of this precession is the…

General Physics · Physics 2010-07-14 Reginald T. Cahill

The aim of this paper is to introduce a new modified gravity theory named as $f(\mathcal{G},T)$ gravity ($\mathcal{G}$ and $T$ are the Gauss-Bonnet invariant and trace of the energy-momentum tensor, respectively) and investigate energy…

General Relativity and Quantum Cosmology · Physics 2016-12-21 M. Sharif , Ayesha Ikram

We consider the gravity assist maneuver, that is, a correction of spacecraft motion at its passing near a planet, as a tool for evaluating the Eddington post-Newtonian parameters $\beta$ and $\gamma$, characterizing vacuum spherically…

General Relativity and Quantum Cosmology · Physics 2023-11-14 S. V. Bolokhov , K. A. Bronnikov , M. V. Skvortsova

To simplify a number of considerations in the weak field approximation, including the determination of the response of interferometric gravitational wave detectors, the "transverse traceless" (TT) gauge is often used. While the…

General Relativity and Quantum Cosmology · Physics 2009-12-02 Istvan Racz