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A moment approach for orbit determinations of astrometric binaries from astrometric observations alone has been recently studied for a low signal-to-noise ratio (Iwama et al. 2013, PASJ, 65, 2). With avoiding a direct use of the…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Kei Yamada , Masaki Yamaguchi , Hideki Asada , Naoteru Gouda

This work establishes a high-precision relativistic theoretical model: start from studying finite speed of light effect based on a coordinate transformation, and further extend the research methods to analyze the overall relativistic…

Atomic Physics · Physics 2019-06-12 Ya-jie Wang , Yu-Jie Tan , Cheng-Gang Shao

Fermat's principle applied to a flat metric in the plane yields the phase of a Bessel function in the periodic domain for a constant index of refraction. Gravitational forces cause the index of refraction to vary and lead to a modified…

Mathematical Physics · Physics 2016-11-15 B. H. Lavenda

Since the first appearance of general relativity in 1916, various experiments have been conducted to test the theory. Due to the weakness of the interactions involved, all of the documented tests were carried out in a gravitational field…

General Relativity and Quantum Cosmology · Physics 2022-11-30 Mikołaj Myszkowski

High precision astrometry aims at source position determination to a very small fraction of the diffraction image size, in high SNR regime. One of the key limitations to such goal is the optical response variation of the telescope over a…

Instrumentation and Methods for Astrophysics · Physics 2021-04-08 Alberto Riva , Mario Gai , Alberto Vecchiato , Deborah Busonero , Mario G. Lattanzi , Federico Landini , Zhaoxiang Qi , Zhenghong Tang

The Gaia optical reference frame is intrinsically undefined with respect to global orientation and spin, so it needs to be anchored in the radio-based International Celestial Reference Frame (ICRF) to provide a referenced and quasi-inertial…

Instrumentation and Methods for Astrophysics · Physics 2021-06-09 Valeri V. Makarov

We consider the concept of a rotating reference frame with the axis of rotation at each point and the applicability of this concept to different areas of physics. The transformation for the transition from the resting to rotating frame is…

General Physics · Physics 2013-11-12 B. V. Gisin

The fundamental celestial reference frame (CRF) is based on two catalogs of astrometric positions, the third realization of the International Celestial Reference Frame (ICRF3), and the much larger Gaia~CRF, built from the third data release…

Astrophysics of Galaxies · Physics 2023-06-28 Valeri V. Makarov , Megan C. Johnson , Nathan J. Secrest

In this work we study in details the influence of pure astronomical refraction on solar metrologic measurements made from ground-based full disk imagery and provide the tools for correcting the measurements and estimating the associated…

Solar and Stellar Astrophysics · Physics 2018-12-21 T. Corbard , R. Ikhlef , F. Morand , M. Meftah , C. Renaud

This paper is a continuation of our previous analysis (i.e. Turyshev 2002a, 2002b) of the relativistic stellar aberration requirements for the Space Interferometry Mission (SIM). Here we have considered a problem of how the expected…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev

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

We measured the relative positions between two pairs of compact extragalactic sources (CESs), J1925-2219 \& J1923-2104 (C1--C2) and J1925-2219 \& J1928-2035 (C1--C3) on 2020 October 23--25 and 2021 February 5 (totaling four epochs),…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Yingjie Li , Ye Xu , JingJing Li , Yuanwei Wu , Shaibo Bian , ZeHao Lin , WenJin Yang , Chaojie Hao , DeJian Liu

Time-dependent gravity data from satellite missions like GRACE-FO reveal mass redistribution in the system Earth at various time scales: long-term climate change signals, inter-annual phenomena like El Nino, seasonal mass transports and…

Numerical Analysis · Mathematics 2024-12-20 Naomi Schneider , Volker Michel , Nico Sneeuw

In 1859, Le Verrier discovered the Mercury perihelion advance anomaly. This anomaly turned out to be the first relativistic-gravity effect observed. During the 157 years to 2016, the precisions and accuracies of laboratory and space…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Wei-Tou Ni

This paper discusses new fundamental physics experiment to test relativistic gravity at the accuracy better than the effects of the 2nd order in the gravitational field strength. The Laser Astrometric Test Of Relativity (LATOR) mission uses…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Slava G. Turyshev , Michael Shao , Kenneth L. Nordtvedt

We present a test of General Relativity, the measurement of the Earth's dragging of inertial frames. Our result is obtained using about 3.5 years of laser-ranged observations of the LARES, LAGEOS and LAGEOS 2 laser-ranged satellites…

The importance of a teaching a clear definition of the ``observer'' in special relativity is highlighted using a simple astrophysical example from the exciting current research area of ``Gamma-Ray Burst'' astrophysics. The example shows…

Physics Education · Physics 2009-10-30 Eric G. Blackman

The unprecedented precision of atom interferometry will soon lead to laboratory tests of general relativity to levels that will rival or exceed those reached by astrophysical observations. We propose such an experiment that will initially…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Savas Dimopoulos , Peter W. Graham , Jason M. Hogan , Mark A. Kasevich

We constrain the parameters describing the kinematical state of the universe using a cosmographic approach, which is fundamental in that it requires a very minimal set of assumptions (namely to specify a metric) and does not rely on the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Vincenzo Vitagliano , Jun-Qing Xia , Stefano Liberati , Matteo Viel

The determination of velocities of stars from precise Doppler measurements is described here using relativistic theory of astronomical reference frames so as to determine the Keplerian and post-Keplerian parameters of binary systems. We…

Astrophysics · Physics 2009-10-31 S. M. Kopeikin , L. M. Ozernoy