The IAU 2000 Resolutions for Astrometry, Celestial Mechanics, and Metrology in the Relativistic Framework: Explanatory Supplement

By M. Soffel, S. Klioner, G. Petit, Peter Wolf, Sergei M Kopeikin, P. Bretagnon, V. Brumberg, N. Capitaine, T. Damour, T. Fukushima and 10 more. 2003

362 citations recorded by the source corpus.

We discuss the IAU resolutions B1.3, B1.4, B1.5, and B1.9 that were adopted during the 24th General Assembly in Manchester, 2000, and provides details on and explanations for these resolutions. It is explained why they present significant progress over the corresponding IAU 1991 resolutions and why they are necessary in the light of present accuracies in astrometry, celestial mechanics, and metrology. In fact, most of these resolutions are consistent with astronomical models and software already in use. The metric tensors and gravitational potentials of both the Barycentric Celestial Reference System and the Geocentric Celestial Reference System are defined and discussed. The necessity and relevance of the two celestial reference systems are explained. The transformations of coordinates and gravitational potentials are discussed. Potential coefficients parameterizing the post-Newtonian gravitational potentials are expounded. Simplified versions of the time transformations suitable for modern clock accuracies are elucidated. Various approximations used in the resolutions are explicated and justified. Some models (e.g., for higher spin moments) that serve the purpose of estimating orders of magnitude have actually never been published before.

Subfields: Astronomy and Astrophysics, Oceanography, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/50851b323f7a093b38bb2902bd79e1f3a15e8e2c

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Citations in the corpus

Phenomenology of the Lense-Thirring effect in the solar system (2010, background): “6.2 Sensitivity analysis Jupiter’s proper angular momentum amounts to (Soffel et al. 2003) S ≈ 6.9× 1038 kg m2 s−1 (62) and the corresponding Lense-Thirring precessions of Juno’s node and perijove are listed in Table 21 .”
Gaia Data Release 2 (2018, methodology): “The Gaia data processing is based on a consistent theory of relativistic astronomical reference systems (Soffel et al. 2003).”
Orbit and bulk density of the OSIRIS-REx target Asteroid (101955) Bennu (2014, methodology): “The average C-type asteroid in the main belt, according to estimates derived from the gravitational perturbations on the planets, predominantly Mars, is ρ = 1290 ± 60 kg/m3 (Standish 2000).”
INPOP08, a 4-D planetary ephemeris: from asteroid and time-scale computations to ESA Mars Express and Venus Express contributions (2009, methodology): “…specified space-time events (one coordinate time and three spatial positions) so, at the geocenter, the transformation reads (Damour et al. 1991; Soffel et al. 2003): dTCG dTCB = 1 + 1 c2 α(TCB) + 1 c4 β(TCB) + O ( 1 c5 ) (1) c being the speed of light in a vacuum and where α(TCB) = −1 2 v2E −…”