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The accuracy of astrometric observations conducted via a space-borne optical interferometer orbiting the Earth is expected to approach a few microarcseconds. Data processing of such extremely high-precision measurements requires access to a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin , N. V. Shuygina , M. V. Vasilyev , E. I. Yagudina , L. I. Yagudin

In this article we outline the structure of a general relativistic astrometric model which has been developed to deduce the position and proper motion of stars from 1-microarcsecond optical observations made by an astrometric satellite…

Astrophysical space missions deliver invaluable information about our universe, stellar dynamics of our galaxy, and motion of celestial bodies in the solar system. Astrometric space missions SIM and Gaia will determine distances to stars…

Astrophysics · Physics 2008-11-26 Sergei Kopeikin

Modern astrometry is based on angular measurements at the micro-arcsecond level. At this accuracy a fully general relativistic treatment of the data reduction is required. This paper concludes a series of articles dedicated to the problem…

We employ differential astrometric methods to establish a small field reference frame stable at the micro-arcsecond ($\mu$as) level on short timescales using high-cadence simulated observations taken by Gaia in February 2017 of a bright…

Instrumentation and Methods for Astrophysics · Physics 2019-02-20 Ummi Abbas , Beatrice Bucciarelli , Mario G. Lattanzi

Context. High accuracy astrometric instruments like Gaia aiming at an accuracy of 1 microarcsecond cannot be considered as point-like observers in the framework of relativistic modelling of observable quantities. Aims. Special-relativistic…

Astrophysics · Physics 2007-05-23 G. Anglada-Escude , S. Klioner , M. Soffel , J. Torra

Astrometric space missions like Gaia have stimulated a rapid advance in the field of relativistic astrometry. Present investigations in that field aim at accuracies significantly less than a microarcsecond. We review the present status of…

General Relativity and Quantum Cosmology · Physics 2013-12-09 S. Zschocke , S. A. Klioner , M. H. Soffel

Observational data from the ESA astrometric mission Gaia determining the positions of celestial objects within an accuracy of few microarcseconds will be soon fully available. Other satellite-based space missions are currently planned to…

General Relativity and Quantum Cosmology · Physics 2019-01-04 Donato Bini , Andrea Geralico

The high accuracy of modern space astrometry requires the use of General Relativity to model the propagation of stellar light through the gravitational field encountered from a source to a given observer inside the Solar System. In this…

General Relativity and Quantum Cosmology · Physics 2009-02-17 Mariateresa Crosta , Alberto Vecchiato

Attaining the limit of sub-microarcsecond optical resolution will completely revolutionize fundamental astrometry by merging it with relativistic gravitational physics. Beyond the sub-microarcsecond threshold, one will meet in the sky a new…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin , Carl R. Gwinn

Recent modern space missions deliver invaluable information about origin of our universe, physical processes in the vicinity of black holes and other exotic astrophysical objects, stellar dynamics of our galaxy, etc. On the other hand,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin

With rapid development of techniques for astronomical observations, the precision of measurements has been significantly increasing. Theories of astronomical relativistic reference systems, which are the foundation for processing and…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Yi Xie

We review the mathematical models available for relativistic astrometry, discussing the different approaches and their accuracies in the context of the modern experiments from space like Gaia and GAME, and we show how these models can be…

General Relativity and Quantum Cosmology · Physics 2014-04-04 Alberto Vecchiato , Mario Gai , Mario G. Lattanzi , Mariateresa Crosta , Ugo Becciani , Stefano Bertone

After a short review of experimental foundations of metric theories of gravity, the choice of general relativity as a theory to be used for the routine modeling of Gaia observations is justified. General principles of relativistic modeling…

Astrophysics · Physics 2007-05-23 Sergei A. Klioner

Given the extreme accuracy reached by future global space astrometry, one needs a global relativistic modeling of observations. A relativistic definition of astrometric observables is then essential to find uniquely coordinates, parallax…

General Relativity and Quantum Cosmology · Physics 2013-05-13 Stefano Bertone , Christophe Le Poncin-Lafitte

During the last years, much attention has been paid to the astrometric implications of the galactic aberration in proper motions (GA). This effect causes systematic errors in astrometric measurements at a microarcsecond level. Some authors…

Instrumentation and Methods for Astrophysics · Physics 2015-02-03 Zinovy Malkin

Background. Relative astrometry at or below the micro-arcsec level with a 1m class space telescope has been repeatedly proposed as a tool for exo-planet detection and characterization, as well as for several topics at the forefront of…

Instrumentation and Methods for Astrophysics · Physics 2022-12-07 Mario Gai , Alberto Vecchiato , Alberto Riva , Alexey Butkevich , Deborah Busonero , Zhaoxiang Qi , Mario Lattanzi

Advancement in astronomical observations and technical instrumentation implies taking into account the general relativistic effects due the gravitational fields encountered by the light while propagating from the star to the observer.…

Astrophysics of Galaxies · Physics 2013-05-22 Mariateresa Crosta

A highly precise model for the motion of a rigid Earth is indispensable to reveal the effects of non-rigidity in the rotation of the Earth from observations. To meet the accuracy goal of modern theories of Earth rotation of 1 microarcsecond…

Earth and Planetary Astrophysics · Physics 2012-02-28 E. Gerlach , S. Klioner , M. Soffel

Relativistic models of light propagation adopted for high-precision astrometry are based on the parametrised post-Newtonian formalism, which provides a framework for examining the effects of a hypothetical violation of general relativity on…

Instrumentation and Methods for Astrophysics · Physics 2022-07-20 A. G. Butkevich , A. Vecchiato , B. Bucciarelli , M. Gai , M. Crosta , M. G. Lattanzi
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