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The high accuracy now reached in the VLBI Earth Orientation Parameters (EOP) determination requires looking further at the various geophysical contributions to variations in EOP. The determination of the Earth gravity field from space…

Astrophysics · Physics 2007-11-29 G. Bourda

Potential magnetic field solutions can be obtained based on the synoptic magnetograms of the Sun. Traditionally, a spherical harmonics decomposition of the magnetogram is used to construct the current and divergence free magnetic field…

Solar and Stellar Astrophysics · Physics 2011-05-02 Gabor Toth , Bart van der Holst , Zhenguang Huang

We briefly review our works for graviton and spherical graviton potentials in a plane-wave matrix model. To compute them, it is necessary to devise a configuration of the graviton solutions, since the plane-wave matrix model includes mass…

High Energy Physics - Theory · Physics 2007-05-23 Hyeonjoon Shin , Kentaroh Yoshida

The Spherical Geometry Algorithm (SGA) demonstrates superior capability in achieving efficient and precise spaceborne SAR image formation processing, even under challenging imaging conditions including non-linear radar trajectories and…

Signal Processing · Electrical Eng. & Systems 2025-06-11 Xinhua Mao , Manyi Tao , Jixia Fan

We propose a method to account for the Earth oblateness effect in preliminary orbit determination of satellites in low orbits with radar observations. This method is an improvement of the one described in (Gronchi et al 2015), which uses a…

Space Physics · Physics 2018-10-24 Helene Ma , Giovanni F. Gronchi , Davide Bracali Cioci

In this preliminary study, we provide two methods for estimating the gradients of functions of real value. Both methods are built on derivative estimations that are calculated using the standard method or the Squire-Trapp method for any…

Numerical Analysis · Mathematics 2023-12-04 Ergun Akleman , Alan Freed

We pose and solve the analogue of Slepian's time-frequency concentration problem in the two-dimensional plane, for applications in the natural sciences. We determine an orthogonal family of strictly bandlimited functions that are optimally…

Classical Analysis and ODEs · Mathematics 2011-04-15 Frederik J. Simons , Dong V. Wang

Obtaining observational constraints on the role of turbulent effects for the solar dynamo is a difficult, yet crucial, task. Without such knowledge, the full picture of the operation mechanism of the solar dynamo cannot be formed. The…

Solar and Stellar Astrophysics · Physics 2021-10-04 A. P. Prabhu , N. K. Singh , M. J. Käpylä , A. Lagg

We introduce a numerical method for reconstructing a multidimensional surface using the gradient of the surface measured at some values of the coordinates. The method consists of defining a multidimensional spline function and minimizing…

Computational Physics · Physics 2015-05-20 Gergely Endrodi

Spherical regression, in which both covariates and responses lie on the sphere, arises in many scientific applications and has attracted considerable methodological attention in recent years. Despite this progress, constructing flexible and…

Methodology · Statistics 2026-05-19 Tin Lok James Ng , Kwok-Kun Kwong , Jiakun Liu , Andrew Zammit-Mangion

We present a generalized algorithm based on a spherical harmonics expansion method for efficient computation of the three-dimensional gravitational potential on a multi-patch grid in spherical geometry. Instead of solving for the…

Computational Physics · Physics 2019-04-26 Annop Wongwathanarat

Matrix-valued covariance functions are crucial to geostatistical modeling of multivariate spatial data. The classical assumption of symmetry of a multivariate covariance function is overlay restrictive and has been considered as unrealistic…

Statistics Theory · Mathematics 2017-11-28 Alfredo Alegría , Emilio Porcu , Reinhard Furrer

The recent advances in machine learning and the availability of free and open big Earth data (e.g., Sentinel missions), which cover large areas with high spatial and temporal resolution, have enabled many agriculture monitoring…

Computer Vision and Pattern Recognition · Computer Science 2022-05-17 George Choumos , Alkiviadis Koukos , Vasileios Sitokonstantinou , Charalampos Kontoes

Rapid and accurate estimation of post-earthquake ground failures and building damage is critical for effective post-disaster responses. Progression in remote sensing technologies has paved the way for rapid acquisition of detailed,…

Geophysics · Physics 2024-12-03 Xuechun Li , Susu Xu

Plasma velocity distribution functions (VDFs) constitute a fundamental observation of numerous operational and future missions. An efficient parameterization of VDFs is crucial for (1) preserving enough information to investigate…

Solar and Stellar Astrophysics · Physics 2025-03-06 Srijan Bharati Das , Michael Terres

We describe an analytical method for computing the orbital parameters of a planet from the periodogram of a radial velocity signal. The method is very efficient and provides a good approximation of the orbital parameters. The accuracy is…

Earth and Planetary Astrophysics · Physics 2016-06-01 J. -B. Delisle , D. Ségransan , N. Buchschacher , F. Alesina

The increasing availability of large-scale global datasets has generated a demand for scalable spatial prediction methods defined on spherical domains. Classical spatial models that rely on Euclidean distance representations are…

Methodology · Statistics 2026-04-03 Hao-Yun Huang , Wen-Ting Wang , Ping-Hsun Chiang , Wei-Ying Wu

Astronomical data does not always use Cartesian coordinates. Both all-sky observational data and simulations of rotationally symmetric systems, such as accretion and protoplanetary discs, may use spherical polar or other coordinate systems.…

Instrumentation and Methods for Astrophysics · Physics 2017-01-11 Rhys Taylor

Magnetic sensing platform techniques have been used in many years in an attempt to better evaluate the likelihood of recoverable hydrocarbon reservoirs by determining the depth and pattern of sedimentary rock formations containing magnetic…

Geophysics · Physics 2021-10-19 Huan Liu , Haobin Dong , Jian Ge , Zheng Liu

The problem of resolving spherical harmonic components from numerical data defined on a rectangular grid has many applications, particularly for the problem of gravitational radiation extraction. A novel method due to Misner improves on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mark E. Rupright