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Given the extreme accuracy of modern space astrometry, a precise relativistic modeling of observations is required. Concerning light propagation, the standard procedure is the solution of the null-geodesic equations. However, another…

General Relativity and Quantum Cosmology · Physics 2013-11-26 Stefano Bertone , Olivier Minazzoli , Mariateresa Crosta , Christophe Le Poncin-Lafitte , Alberto Vecchiato , Marie-Christine Angonin

We develop a new perturbation method for determining a class of time transfer functions in a stationary spacetime when its metric is a small deformation of a background metric for which the time transfer functions are known in a closed…

General Relativity and Quantum Cosmology · Physics 2022-12-14 P. Teyssandier

In order to get astrometric parameters achieving the precision permitted by the the forthcoming generation of astrometri cmeasurements, it will be necessary to take into account effects that were neglected until the present time. Two…

Astrophysics · Physics 2009-11-13 J. -L. Halbwachs

Photometric light curves suffer from fundamental degeneracies that limit surface information recovery. We demonstrate that astrometry enables access to complementary information through photocentre variations induced by rotating surface…

Solar and Stellar Astrophysics · Physics 2026-04-06 Conaire Deagan , Benjamin T. Montet

We investigate lens orbital motion in astrometric microlensing and its detectability. In microlensing events, the light centroid shift in the source trajectory (the astrometric trajectory) falls off much more slowly than the light…

Instrumentation and Methods for Astrophysics · Physics 2015-06-18 Sedighe Sajadian

Wavefield travel time tomography is used for a variety of purposes in acoustics, geophysics and non-destructive testing. Since the problem is non-linear, assessing uncertainty in the results requires many forward evaluations. It is…

Geophysics · Physics 2023-08-21 James Ludlam , Katherine Tant , Victorita Dolean , Andrew Curtis

Astrometric measurements are significantly challenged by the relative motion between the point source and the telescope, primarily due to the difficulty in accurately determining the position of the point source at the mid-exposure moment.…

Instrumentation and Methods for Astrophysics · Physics 2025-03-11 Linpeng Wu , Qingfeng Zhang , Valéry Lainey , Nick Cooper , Nicolas Rambaux , Weiheng Zhu

Correct interpretation of acoustic travel times measured by time-distance helioseismology is essential to get an accurate understanding of the solar properties that are inferred from them. It has long been observed that sunspots suppress…

Solar and Stellar Astrophysics · Physics 2015-05-14 R. Nigam , A. G. Kosovichev

In recent years the possibility of measuring the temporal change of radial and transverse position of sources in the sky in real time have become conceivable thanks to the thoroughly improved technique applied to new astrometric and…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-26 Claudia Quercellini , Luca Amendola , Amedeo Balbi , Paolo Cabella , Miguel Quartin

A time-distance measurement technique is derived to isolate phase travel time anisotropy caused by subsurface horizontal magnetic fields, and a method which uses the measured anisotropy to estimate the field's orientation is also derived. A…

Solar and Stellar Astrophysics · Physics 2022-05-11 John T. Stefan , Alexander G. Kosovichev

When a source star is gravitationally microlensed by a dark lens, the centroid of the source star image is displaced relative to the position of the unlensed source star with an elliptical trajectory. Recently, routine astrometric follow-up…

Astrophysics · Physics 2009-10-31 Cheongho Han , Youngjin Jeong

Extended source size effects have been detected in photometric monitoring of gravitational microlensing events. We study similar effects in the centroid motion of an extended source lensed by a point mass. We show that the centroid motion…

Astrophysics · Physics 2015-06-24 Shude Mao , Hans J. Witt

In this paper, we consider the travel time tomography problem for conformal metrics on a bounded domain, which seeks to determine the conformal factor of the metric from the lengths of geodesics joining boundary points. We establish forward…

Differential Geometry · Mathematics 2024-05-28 Ashwin Tarikere , Hanming Zhou

The time delay between the arrival of photons of multiple images of time variable sources can be used to constrain absolute distances in the Universe (Refsdal 1964), and in turn obtain a direct estimate of the Hubble constant and other…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-21 Simon Birrer , Tommaso Treu

Inspired by the question of whether one can create a visually informative map in which distances reflect travel-times rather than physical proximity, we examine whether it is possible to construct a meaningful travel time function between…

Metric Geometry · Mathematics 2015-07-03 Kenneth Halpern

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

This paper is mainly devoted to the determination of the travel time of a photon as a function of the positions of the emitter and the receiver in a large class of static, spherically symmetric spacetimes. Such a function - often called…

General Relativity and Quantum Cosmology · Physics 2014-07-17 Pierre Teyssandier

The specific astrophysical data collected during the last decade causes the need for the modification of the expression for the Einstein-Hilbert action, and several attempts sufficing this need are known. The modification suggested in this…

General Relativity and Quantum Cosmology · Physics 2012-07-04 Sergey Siparov , Nicoleta Brinzei

It is believed that some numerical technique must be employed for the determination of the system parameters of a visual binary or a star with a planet because the relevant equations are not only highly nonlinear but also transcendental…

Astrophysics · Physics 2015-06-24 Hideki Asada , Toshio Akasaka , Masumi Kasai

Given the extreme accuracy of modern space astrometry, a precise relativistic modeling of observations is required. Moreover, the availability of several models formulated in different and independent ways is a security against the presence…

General Relativity and Quantum Cosmology · Physics 2014-01-08 Stefano Bertone , Alberto Vecchiato , Christophe Le Poncin-Lafitte , Mariateresa Crosta , Luca Bianchi
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