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New looks at some old concepts of moving-base gravity and magnetic gradient measurements are discussed. This can open a door to ultra-miniature, UAV deployable and cost effective geophysical exploration systems.

Geophysics · Physics 2014-07-08 Alexey V. Veryaskin

The "Descartes-Nutation" Project is devoted to the "understanding of the next decimal of precession-nutation, from the theoretical point of view as well as from the observational point of view". In this framework, we made a proposal in…

Astrophysics · Physics 2007-11-29 G. Bourda

The GRACE mission has been providing valuable new information on time variations in the Earth's gravity field since 2002. In addition, the GRACE Follow-On mission is scheduled to be flown soon after the end of life of the GRACE mission in…

Space Physics · Physics 2015-06-18 Peter L. Bender , Casey R. Betts

The abstract is additional with repect to the paper published in JGCD. Ordinary Earth satellites are usually placed into five categories of special orbits: sun-synchronous orbits, orbits at the critical inclination, frozen orbits, repeating…

Earth and Planetary Astrophysics · Physics 2012-12-05 Xiaodong Liu , Hexi Baoyin , Xingrui Ma

Relativity is an integral part of positioning systems, and this is taken into account in today's practice by applying many "relativistic corrections" to computations performed using concepts borrowed from Galilean physics. A different,…

General Relativity and Quantum Cosmology · Physics 2009-05-27 Albert Tarantola , Ludek Klimes , Jose Maria Pozo , Bartolome Coll

In the domain of Space Situational Awareness (SSA), the challenges pertaining to orbit determination and catalog correlation are notably pronounced, partly attributable to the escalating presence of non-cooperative satellites engaging in…

Space Physics · Physics 2024-04-02 Jose M. Montilla , Jan A. Siminski , Rafael Vazquez

The gravity field maps of the satellite gravimetry missions GRACE (Gravity Recovery and Climate Experiment) and GRACE Follow-On are derived by means of precise orbit determination. The key observation is the biased inter-satellite range,…

Instrumentation and Methods for Astrophysics · Physics 2021-04-12 Yihao Yan , Vitali Müller , Gerhard Heinzel , Min Zhong

We focus on the possibility of measuring the gravitomagnetic effects due to the rotation of the Earth, by means of a space-based experiment that exploits satellites in geostationary orbits. Due to the rotation of the Earth, there is an…

General Relativity and Quantum Cosmology · Physics 2019-05-21 Matteo Luca Ruggiero , Angelo Tartaglia

Despite numerous successful missions to small celestial bodies, the gravity field of such targets has been poorly characterized so far. Gravity estimates can be used to infer the internal structure and composition of small bodies and, as…

Instrumentation and Methods for Astrophysics · Physics 2022-02-15 Jacopo Villa , Andrew French , Jay McMahon , Daniel Scheeres , Benjamin Hockman

The effects of Horava-Lifshitz corrections to the gravito-magnetic field are analyzed. Solutions in the weak field, slow motion limit, referring to the motion of a satellite around the Earth are considered. The post-newtonian paradigm is…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Ninfa Radicella , Gaetano Lambiase , Luca Parisi , Gaetano Vilasi

Given a set of astrometric observations of the same object, the problem of orbit determination is to compute the orbit and to assess its uncertainty and reliability. For the next generation surveys, with much larger number density of…

Frequency-domain expressions are found for gradiometer and satellite-to-satellite tracking measurements of a point source on the surface of the Earth. The maximum signal-to-noise ratio as a function of noise in the measurement apparatus is…

Geophysics · Physics 2021-01-06 Robert Spero

The recently suggested SEE (Satellite Energy Exchange) method of measuring the gravitational constant $G$, possible equivalence principle violation (measured by the E\"{o}tv\"{o}s parameter $\eta$) and the hypothetic 5th force parameters…

General Relativity and Quantum Cosmology · Physics 2008-02-03 A. D. Alexeev , K. A. Bronnikov , N. I. Kolosnitsyn , M. Yu. Konstantinov , V. N. Melnikov , A. G. Radynov

This work outlines and assesses several methods for the detection of manoeuvres in Low Earth Orbit (LEO) from surveillance radar data. To be able to detect manoeuvres, the main starting assumption is that the object under analysis has an…

Optimization and Control · Mathematics 2022-03-08 Jose M. Montilla , Julio C. Sanchez , Rafael Vazquez , Jorge Galan-Vioque , Javier Rey Benayas , Jan Siminski

It is suggested that gravity waves could, in several cases, be detected by means of already (or shortly to be) available technology, independently of current efforts of detection. The present is a follow-up on a recently suggested detection…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Redouane Fakir

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

This paper proposes a position fixing method for autonomous navigation using partial gravity gradient solutions from cold atom interferometers. Cold atom quantum sensors can provide ultra-precise measurements of inertial quantities, such as…

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

This paper presents an algorithm for the preprocessing of observation data aimed at improving the robustness of orbit determination tools. Two objectives are fulfilled: obtain a refined solution to the initial orbit determination problem…

Numerical Analysis · Mathematics 2023-11-07 Alberto Fossà , Roberto Armellin , Emmanuel Delande , Matteo Losacco , Francesco Sanfedino

We introduce a new method to perform preliminary orbit determination for space debris on low Earth orbits (LEO). This method works with tracks of radar observations: each track is composed by $n\ge 4$ topocentric position vectors per pass…

Mathematical Physics · Physics 2015-01-30 Giovanni F. Gronchi , Linda Dimare , Davide Bracali Cioci , Helene Ma