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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

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

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

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

Reference systems and frames are crucial for high precision absolute astrometric work, and their foundations must be well-defined. The current frame, the International Celestial Reference Frame, will be discussed: its history, the use of…

Astrophysics · Physics 2009-11-10 E. B. Fomalont

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…

This paper is devoted to a practical model for relativistic reduction of positional observations with an accuracy of 1 \muas which is expected to be attained in the future space astrometry missions. All relativistic effects which are caused…

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

This paper presents the analytical solution of the inverse ray tracing problem for photons emitted by a star and collected by an observer located in the gravitational field of the Solar System. This solution has been conceived to suit the…

General Relativity and Quantum Cosmology · Physics 2015-01-16 Mariateresa Crosta , Alberto Vecchiato , Fernando de Felice , Mario Gilberto Lattanzi

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…

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

The theory of measurement is employed to elucidate the physical basis of general relativity. For measurements involving phenomena with intrinsic length or time scales, such scales must in general be negligible compared to the (translational…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Bahram Mashhoon

Astrometry is one of the oldest branches of astronomy which measures the position, the proper motion and parallax of celestial objects. Following the Hipparcos and Gaia missions that have measured several billions of them using global…

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

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

The Breakthrough Starshot project aims to send centimeter-sized, gram-scale "StarChip" probes to Alpha Centauri at a speed of $\sim0.2c$. On the other hand, Zhang \& Li recently proposed that trans-relativistic cameras may be sent to any…

High Energy Astrophysical Phenomena · Physics 2019-05-28 Jin-Ping Zhu , Bing Zhang , Yuan-Pei Yang

Deep-space laser ranging will be ideal for testing relativistic gravity, and mapping the solar-system to an unprecedented accuracy. ASTROD (Astrodynamical Space Test of Relativity using Optical Devices) and ASTROD I are such missions.…

Astrophysics · Physics 2008-12-13 Wei-Tou Ni

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

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

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
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