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Can stochastic gradient methods track a moving target? We study the problem of tracking multidimensional time-varying parameters under noisy observations and possible model misspecification. Gradient-based filters update the time-varying…

Methodology · Statistics 2026-05-05 Simon Donker van Heel , Rutger-Jan Lange , Bram van Os , Dick van Dijk

Proposed space-based gravitational wave antennas involve satellites arrayed either in an equilateral triangle around the earth in the ecliptic plane (the ecliptic-plane option) or in an equilateral triangle orbiting the sun in such a way…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Thomas A. Moore , Ronald W. Hellings

In nominal mission scenarios, geostationary satellites perform end-of-life orbit maneuvers to reach suitable disposal orbits, where they do not interfere with operational satellites. This research investigates the long-term orbit evolution…

Earth and Planetary Astrophysics · Physics 2021-04-06 Simone Proietti , Roberto Flores , Elena Fantino , Mauro Pontani

In this paper we propose, in a preliminary way, a new Earth-based laboratory experiment aimed to the detection of the gravitomagnetic field of the Earth. It consists of the measurement of the difference of the circular frequencies of two…

General Relativity and Quantum Cosmology · Physics 2012-07-31 Lorenzo Iorio

The surge of deep-space probes makes it unsustainable to navigate them with standard radiometric tracking. Self-driving interplanetary satellites represent a solution to this problem. In this work, a full vision-based navigation algorithm…

Computer Vision and Pattern Recognition · Computer Science 2024-06-19 Eleonora Andreis , Paolo Panicucci , Francesco Topputo

With the improvement in sensitivity of gravitational wave (GW) detectors and the increasing diversity of GW sources, there is a strong need for accurate GW waveform models for data analysis. While the current model accuracy assessments…

General Relativity and Quantum Cosmology · Physics 2022-08-22 Qian Hu , John Veitch

The upcoming direct detection of gravitational waves will open a window to probing the strong-field regime of general relativity (GR). As a consequence, waveforms that include the presence of deviations from GR have been developed (e.g. in…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Salvatore Vitale , Walter Del Pozzo

At present the Radioastron (RA) Earth's satellite having very elliptic orbit is used for probing of the gravitational red shift effect [1, 2]. Objective of this test consists in the enhancing accuracy of measurement to check the…

Data Analysis, Statistics and Probability · Physics 2018-12-05 A. V. Gusev , V. N. Rudenko

In this paper, we present an overview of ASTROD (Astrodynamical Space Test of Relativity using Optical Devices) and ASTROD I mission concepts and studies. The missions employ deep-space laser ranging using drag-free spacecraft to map the…

Astrophysics · Physics 2008-11-26 Wei-Tou Ni

In this study, gravitational waveforms emitted by inspiralling compact binary systems on quasicircular orbits in hybrid metric-Palatini gravity are computed in the lowest post-Newtonian approximation. By applying the stationary phase…

General Relativity and Quantum Cosmology · Physics 2025-07-28 P. I. Dyadina

We describe a new iteration method to estimate asteroid coordinates, which is based on the subpixel Gaussian model of a discrete object image. The method operates by continuous parameters (asteroid coordinates) in a discrete observational…

The problem of determination of the orbital velocity of an astrometric satellite from its own observational data is studied. It is well known that data processing of microarcsecond-level astrometric observations imposes very stringent…

Astrophysics · Physics 2008-02-11 Alexey G. Butkevich , Sergei A. Klioner

This paper is motivated by the recent possibility to find an inexpensive launching vehicle for the LARES satellite, however at an altitude much lower than originally planned for the LAGEOS III/LARES satellite. We present here a preliminary…

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

The method of weighted least squares is widely used in parameter estimation problems such as asteroid orbit determination. A key difficulty is the treatment of observational uncertainties, especially when combining heterogeneous datasets…

Earth and Planetary Astrophysics · Physics 2026-04-13 Dmitri. E. Vavilov , Ziyu. Liu , Daniel. Hestroffer , Josselin. Desmars

We have developed a semi-analytical theory for low-altitude lunar orbits with the aim of verifying what the minimum order of the gravitational model to be considered should be in order to produce realistic results that can be applied to the…

Earth and Planetary Astrophysics · Physics 2020-07-28 Juan Félix San-Juan , Rosario López , Iván Pérez

The gravimetry measurements from the Gravity Recovery and Climate Experiment (GRACE) and its follow-on (GRACE-FO) satellite mission provide an essential way to monitor changes in ocean bottom pressure ($p_b$), which is a critical variable…

Geophysics · Physics 2025-02-20 Junyang Gou , Lara Börger , Michael Schindelegger , Benedikt Soja

This paper introduces a new analytical method for the determination of the coverage area modeling the Earth as an oblate ellipsoid of rotation. Starting from the knowledge of the satellite's position vector and the direction of the…

Space Physics · Physics 2019-07-01 Marco Nugnes , Camilla Colombo , Massimo Tipaldi

Deflecting an asteroid from an Earth impact trajectory requires only small velocity changes, typically of the order of microns per second, if done many years ahead of time. For this, a highly precise method of determining the need,…

Space Physics · Physics 2008-09-17 Bernhard W. Adams

In this work the orbital dynamics of Earth satellites about the geosynchronous altitude are explored, with primary goal to assess current mitigation guidelines as well as to discuss the future exploitation of the region. A thorough…

Earth and Planetary Astrophysics · Physics 2019-05-07 Ioannis Gkolias , Camilla Colombo

In this paper we investigate the feasibility of a recently proposed space-based experiment aimed to the detection of the effect of the Earth gravitomagnetic field in spaceborne semiconductors carrying radial electric currents and following…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio
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