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Related papers: Low-Earth Orbit Determination from Gravity Gradien…

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Low-earth-orbit (LEO) satellite communication systems that use millimeter-wave frequencies rely on large antenna arrays with hybrid analog-digital architectures for rapid beam steering. LEO satellites are only visible from the ground for…

Signal Processing · Electrical Eng. & Systems 2025-11-03 Anders Malthe Westerkam , Amélia Struyf , Dimitri Lederer , Troels Pedersen , François Quitin

The numerical integration method has been routinely used to produce global standard gravitational models from satellite tracking measurements of CHAMP/GRACE types. It is implemented by solving the differential equations of the partial…

Geophysics · Physics 2019-09-26 Peiliang Xu

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

Building upon earlier work, we explore the limits of using a configuration of satellites to measure the trace of the gravitational gradient tensor using intersatellite laser ranging and timing observables without relying on high-precision…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Viktor T. Toth

Space-based gravitational wave detection is based on the astrodynamical equations derived from gravitational theory to detect changes in distance between spacecraft/celestial bodies and/or their state changes caused by gravitational waves.…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Wei-Tou Ni

While building up a catalog of Earth orbiting objects, if the available optical observations are sparse, not deliberate follow ups of specific objects, no orbit determination is possible without previous correlation of observations obtained…

Space Physics · Physics 2015-05-20 A. Milani , G. Tommei , D. Farnocchia , A. Rossi , T. Schildknecht , R. Jehn

The elements of the E\"otv\"os matrix are useful for various geodetic applications, such as the interpolation of the elements of the deflection of the vertical, the determination of gravity anomalies and the determination of geoid heights.…

Geophysics · Physics 2016-11-08 G. Manoussakis , R. Korakitis , P. Milas

The recent growing interest in small solar system bodies such as asteroids and comets for scientific inspection, exploitation of resources, and planetary defense reasons is pushing the development of innovative engineering solutions to…

Systems and Control · Electrical Eng. & Systems 2024-08-29 Antonio Rizza , Francesco Topputo

We present methodology and mission results from orbit determination of Planet Labs nanosatellites and differential-drag control of their relative motion. Orbit determination (OD) is required on Planet Labs satellites to accurately predict…

Space Physics · Physics 2015-09-11 Cyrus Foster , Henry Hallam , James Mason

We present the results of a large scale simulation, reproducing the behavior of a data center for the build-up and maintenance of a complete catalog of space debris in the upper part of the low Earth orbits region (LEO). The purpose is to…

Dynamical Systems · Mathematics 2015-05-28 Andrea Milani , Davide Farnocchia , Linda Dimare , Alessandro Rossi , Fabrizio Bernardi

Mapping the Earth's gravity field from space offers valuable insights into climate change, hydro- and biosphere evolution, and seismic activity. Current satellite gravimetry missions have demonstrated the utility of gravity data in…

Instrumentation and Detectors · Physics 2025-08-06 Joao Encarnacao , Christian Siemes , Ilias Daras , Olivier Carraz , Aaron Strangfeld , Philipp Zingerle , Roland Pail

We investigate the utility of a constellation of four satellites in heliocentric orbit, equipped with accurate means to measure intersatellite ranges, round-trip times and phases of signals coherently retransmitted between members of the…

Instrumentation and Methods for Astrophysics · Physics 2023-11-08 Viktor T. Toth

The accuracy reached in the past few years by Satellite Laser Ranging (SLR) allows for measuring even tiny features of the Earth's gravitational field predicted by Einstein's General Relativity by means of artificial satellites. The…

General Relativity and Quantum Cosmology · Physics 2013-11-12 Lorenzo Iorio

Atmospheric drag calculation error greatly reduce the low-earth orbit spacecraft trajectory prediction fidelity. To solve the issue, the "correction - prediction" strategy is usually employed. In the method, one parameter is fixed and other…

Attitude estimation or determination is a fundamental task for satellites to remain effectively operational. This task is furthermore complicated on small satellites by the limited space and computational power available on-board. This,…

Robotics · Computer Science 2021-07-21 Raunak Srivastava , Roshan Sah , Kaushik Das

This paper is related to our previous works [1][2] on the error estimate of the averaging technique, for systems with one fast angular variable. In the cited references, a general method (of mixed analytical and numerical type) has been…

Mathematical Physics · Physics 2011-02-22 Carlo Morosi , Livio Pizzocchero

Here we provide an alternative approach to determine the Earth's external gravitational potential field based on low-orbit target satellite (TS), geostationary satellites (GS), and microwave signal links between them. By emitting and…

Geophysics · Physics 2020-08-14 Ziyu Shen , WenBin Shen , Xinyu Xu , Shuangxi Zhang

Gravity gradiometry within the framework of the general theory of relativity involves the measurement of the elements of the relativistic tidal matrix, which is theoretically obtained via the projection of the spacetime curvature tensor…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Bahram Mashhoon

Fast and precise propagation of satellite orbits is required for mission design, orbit determination in support of operations and payload data analysis. This demand must also comply with the different accuracy requirements set by a growing…

Earth and Planetary Astrophysics · Physics 2020-07-07 Elena Fantinoa , Roberto Flores , Amna Adheem

In this letter we reexamine the evaluation of \zone in some proposed tests of relativistic gravitomagnetism with existing and proposed laser--ranged LAGEOS--like satellites in the gravitational field of the Earth. A more conservative and…

General Relativity and Quantum Cosmology · Physics 2007-11-12 Lorenzo Iorio