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Relativistic positioning systems are interesting {\em technical objects} for applications around the Earth and in the Solar system. But above all else, they are basic {\em scientific objects} allowing developing relativity from its own…

General Relativity and Quantum Cosmology · Physics 2013-02-26 Bartolomé Coll

High-precision astrometric and radial-velocity observations require accurate modelling of stellar motions in order to extrapolate measurements over long time intervals, and to detect deviations from uniform motion caused for example by…

Instrumentation and Methods for Astrophysics · Physics 2014-10-22 Alexey G. Butkevich , Lennart Lindegren

The Laser Astrometric Test Of Relativity (LATOR) is a Michelson-Morley-type experiment designed to achieve a major improvement in the accuracy of the tests of relativistic gravity in the solar system. By using a combination of independent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev , Michael Shao , Kenneth L. Nordtvedt

This paper discusses new Fundamental physics experiment that will test relativistic gravity at the accuracy better than the effects of the second order in the gravitational field strength, ~G^2. The Laser Astrometric Test Of Relativity…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev , Michael Shao , Kenneth Nordtvedt

Astrometry as a technique has so far proved of limited utility when employed as either a follow-up tool or to independently search for planetary mass companions orbiting nearby stars. However, this is bound to change during the next decade.…

Earth and Planetary Astrophysics · Physics 2015-05-13 A. Sozzetti

A modification to the vis-viva equation that accounts for general relativistic effects is introduced to enhance the accuracy of predictions of orbital motion and precession. The updated equation reduces to the traditional vis-viva equation…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Qi Peng , Shuichiro Yokoyama , Kiyotomo Ichiki

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

The modern methods of measurement of the solar diameter and oblateness are reviewed. Either ground-based or balloon-borne and satellite measurements are considered. The importance of solar astrometry for General Relativity is emphasized,…

Solar and Stellar Astrophysics · Physics 2015-05-28 Costantino Sigismondi

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

The successful miniaturisation of extremely accurate atomic clocks and atom interferometers invites prospects for satellite missions to perform precision experiments. We discuss the effects predicted by general relativity and alternative…

General Relativity and Quantum Cosmology · Physics 2015-06-10 Ruxandra Bondarescu , Andreas Schärer , Philippe Jetzer , Raymond Angélil , Prasenjit Saha , Andrew Lundgren

In this brief note some comments about the observable used in a recently published paper on the measurement of the general relativistic Lense-Thirring in the gravitational field of the Earth are presented. It turns out that, among other…

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

Astrometric issues for solar system studies are discussed. An overview gives references and cover all aspects of the solar system where astrometry is important: orbits of planets, moons, asteroids and NEOs, masses of asteroids, occultations…

Instrumentation and Methods for Astrophysics · Physics 2017-08-04 Erik Høg , George Kaplan

The increasing precision of spacecraft radiometric tracking data experienced in the last number of years, coupled with the huge amount of data collected and the long baselines of the available datasets, has made the direct observation of…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Fabrizio De Marchi , Gael Cascioli

IAU 2000 resolutions on the reference frames set up a solid theoretical foundation for implementing general relativity in astronomical data processing algorithms and for unambiguous interpretation of measured relativistic effects. We…

Instrumentation and Methods for Astrophysics · Physics 2010-12-07 Sergei Kopeikin

Astrometric missions like Gaia provide exceptionally precise measurements of stellar positions and proper motions. Gravitational waves traveling between the observer and distant stars can induce small, correlated shifts in these apparent…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Massimo Vaglio , Mikel Falxa , Giorgio Mentasti , Arianna I. Renzini , Adrien Kuntz , Enrico Barausse , Carlo Contaldi , Alberto Sesana

The pericenter shift of a binary system represents a suitable observable to test for possible deviations from the Newtonian inverse-square law in favor of new weak interactions between macroscopic objects. We analyzed 13 years of tracking…

General Relativity and Quantum Cosmology · Physics 2011-06-21 David M. Lucchesi , Roberto Peron

In this proceeding, we show how observations of Solar System Objects with Gaia can be used to test General Relativity and to constrain modified gravitational theories. The high number of Solar System objects observed and the variety of…

General Relativity and Quantum Cosmology · Physics 2018-06-13 A. Hees , C. Le Poncin-Lafitte , D. Hestroffer , P. David

The successful miniaturization of extremely accurate atomic clocks invites prospects for satellite missions to perform precise timing experiments. This will allow effects predicted by general relativity to be detected in Earth's…

Earth and Planetary Astrophysics · Physics 2014-04-07 Raymond Angélil , Prasenjit Saha , Ruxandra Bondarescu , Philippe Jetzer , Andreas Schärer , Andrew Lundgren

The possibility of measuring the post-Newtonian gravitoelectric correction to the orbital period of a test particle freely orbiting a spherically symmetric mass in the Solar System is analyzed. It should be possible, in principle, to detect…

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

Gaia's astrometric solution aims to determine at least five parameters for each star, together with appropriate estimates of their uncertainties and correlations. This requires at least five distinct observations per star. In the early data…

Instrumentation and Methods for Astrophysics · Physics 2015-10-28 Daniel Michalik , Lennart Lindegren , David Hobbs , Alexey G. Butkevich