The Ray Tracing Analytical Solution within the RAMOD framework. The case of a Gaia-like observer

Crosta, M.; Vecchiato, Alberto; Felice, F. de; Lattanzi, Mario Gilberto

doi:10.48550/arxiv.1501.03705

Cited by 2 publications

(8 citation statements)

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Section: Quadrupoles In Arbitrary Motionmentioning

confidence: 84%

“…The results of these investigations have been adopted as one of two model for the Gaia data reduction and which is called GREM (Gaia Relativistic Model). Another approach has been developed in [47][48][49][50][51], which is the second model in use for Gaia data reduction and which is called RAMOD (Relativistic Astrometric Model). Both these model are designed for relativistic astrometry at micro-arcsecond level of accuracy and allow for an independent check of their results.…”

Section: B Astrometry At Micro-arcsecond Level Of Accuracymentioning

confidence: 99%

“…Results for the light-trajectory in the field of quadrupoles in uniform motion, v A = const, were represented in [51]. In the limit of uniform motion the expression in ( 146) -(151) should coincide with the results in [51]. For such a comparison the series-expansion in (32) would have to be inserted into the solution (146) -(151), which leads rapidly to cumbersome expressions.…”

Section: Quadrupoles In Arbitrary Motionmentioning

confidence: 99%

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Light propagation in the gravitational field ofNarbitrarily moving bodies in 1PN approximation for high-precision astrometry

Zschocke

2015

Phys. Rev. D

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The light-trajectory in the gravitational field of N extended bodies in arbitrary motion is determined in the first post-Newtonian approximation. According to the theory of reference systems, the gravitational fields of these massive bodies are expressed in terms of their intrinsic multipoles, allowing for arbitrary shape and inner structure of these bodies. The results of this investigation aim towards a consistent general-relativistic theory of light propagation in the Solar system for high-precision astrometry at sub-micro-arcsecond level of accuracy.

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Section: Quadrupoles In Arbitrary Motionmentioning

confidence: 84%

Section: B Astrometry At Micro-arcsecond Level Of Accuracymentioning

confidence: 99%

Section: Quadrupoles In Arbitrary Motionmentioning

confidence: 99%

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Light propagation in the gravitational field ofNarbitrarily moving bodies in 1PN approximation for high-precision astrometry

Zschocke

2015

Phys. Rev. D

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“…A solution to the photon equations of motion (2.16)-(2.18) in the context of Gaia was already obtained in Ref. [19] for uniformly moving quadrupolar bodies, by using a different formulation. However, it is incorrect, as shown in Appendix B below.…”

Section: ) With [9]mentioning

confidence: 99%

“…[17,18] (see also Ref. [19] and references therein for further developments). The astrometric observables associated with Gaia have been recently computed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Gravitational wave effects on astrometric observables

Bini

Geralico

2018

Phys. Rev. D

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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 significantly improve such precision in the next years. The data reduction process needs high-precision general relativistic models, allowing one to solve the inverse ray-tracing problem in the gravitational field of the Solar System up to the requested level of accuracy and leading then to the estimate of astrometric parameters. Besides a satisfactory description of the background field due to the planets (which should include their multipolar structure), one should consider also other effects which may induce modifications to the light propagation. For instance, the interaction of the light signal with the superposed gravitational field of a gravitational wave emitted by a distant source would cause a shift in the apparent positions of the stars. We compute here the main astrometric observables needed for data reduction of satellite-based missions in the presence of a passing plane gravitational wave. We also take into account the effect of the mass quadrupole moment of the planets, improving previous results obtained for Gaia.

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The Ray Tracing Analytical Solution within the RAMOD framework. The case of a Gaia-like observer

Cited by 2 publications

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Light propagation in the gravitational field ofNarbitrarily moving bodies in 1PN approximation for high-precision astrometry

Light propagation in the gravitational field ofNarbitrarily moving bodies in 1PN approximation for high-precision astrometry

Gravitational wave effects on astrometric observables

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