1980 IAU Theory of Nutation: The final report of the IAU Working Group on Nutation

Seidelmann, P. K.

doi:10.1007/bf01228952

Cited by 224 publications

(88 citation statements)

References 23 publications

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“…Precession was modelled according to the IAU 1976 theory of precession (Lieske et al, 1977). Nutation offsets were estimated for each VLBI experiment with respect to the IAU 1980 theory of nutation (Seidelmann, 1982) which was used as a priori.…”

Section: Discussionmentioning

confidence: 99%

Crustal motion results derived from observations in the European geodetic VLBI network

Haas

Gueguen²,

Scherneck

et al. 2014

Earth Planet Sp

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Geodetic VLBI observations have been performed with the European geodetic VLBI network since early 1990 on a regular basis. The purpose of these observations is to determine crustal motion in Europe and to establish a stable reference frame for other space geodetic techniques. Over the years the size of the network and the number of participating stations has steadily increased. Today, the network extends from the island of Sicily in the south to the island of Spitsbergen/Svalbard in the north and from the Iberian peninsula in the west to the Crimean peninsula in the east. The area covered by the network is affected by two main geodynamic processes which are post-glacial rebound effects in the northern part, and the evolution of the Alps-Apennines orogenic systems in the southern part. With nearly 10 years of VLBI observations the determination of crustal motion in Europe is carried out with high accuracy. Baseline measurements are achieved with an accuracy of a few parts per billion. We compare the evolution of baseline lengths and topocentric station displacements with geophysical models. Strain rates in Europe on a large scale are determined from the results of the VLBI analysis.

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Section: Discussionmentioning

confidence: 99%

Crustal motion results derived from observations in the European geodetic VLBI network

Haas

Gueguen²,

Scherneck

et al. 2014

Earth Planet Sp

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“…The Earth-fixed coordinate system is consistent with the International Earth Rotation and Reference Systems Service (IERS) terrestrial reference frame labeled ITRF93 as shown in Boucher et al (1994). The rotation of the Earth-fixed coordinates of the DSN locations to the Earth centered inertial system requires a series of coordinate transformations due to precession as in the IAU 1976 model described in Lieske et al (1977) and nutation of the mean pole as in the IAU 1980 nutation theory described in Wahr (1981) and Seidelmann (1982) plus daily corrections to the model from the JPL Earth Orientation Platform (EOP) product of Folkner et al (1993), rotation of the Earth as in Aoki et al (1982) and Aoki and Kinoshita (1983) and UTC-UT1R corrections of the JPL EOP file, and polar motion of the rotation axis. The JPL EOP product is derived from the Very Long Baseline Interferometry (VLBI) and Lunar Laser Ranging (LLR) observations and includes Earth rotation and polar motion calibrations and, in addition, nutation correction parameters necessary to determine inertial station locations to the level of a few centimeters.…”

Section: G(x T) =ρ =ṙmentioning

confidence: 99%

The Scientific Measurement System of the Gravity Recovery and Interior Laboratory (GRAIL) Mission

et al. 2013

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The Gravity Recovery and Interior Laboratory (GRAIL) mission to the Moon utilized an integrated scientific measurement system comprised of flight, ground, mission, and data system elements in order to meet the end-to-end performance required to achieve its scientific objectives. Modeling and simulation efforts were carried out early in the mission that influenced and optimized the design, implementation, and testing of these elements. Because the two prime scientific observables, range between the two spacecraft and range rates between each spacecraft and ground stations, can be affected by the performance of any element of the mission, we treated every element as part of an extended science instrument, a science system. All simulations and modeling took into account the design and configuration of each element to compute the expected performance and error budgets. In the process, scientific requirements were converted to engineering specifications that became the primary drivers for development and testing. Extensive simulations demonstrated that the scientific objectives could in most cases be met with significant margin. Errors are grouped into dynamic or kinematic sources and the largest source of non-gravitational error comes from spacecraft thermal radiation. With all error models included, the baseline solution shows that estimation of the lunar gravity field is robust against both dynamic and kinematic errors and a nominal field of degree 300 or better could be achieved according to the scaled Kaula rule for the Moon. The core signature is more sensitive to modeling errors and can be recovered with a small margin.

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“…An IAU Working Group proposed its adoption (SEIDELMANN 1982) and the theory was endorsed by IAU as its first non-rigid Earth nutation theory in 1981. This solution follows the method of Smith and Whar: The partial differential equations of the elastic problem are transformed into an infinite system of ordinary differential equations through a series expansion of spheroidal and toroidal harmonics.…”

Section: Two-layer Earth Modelsmentioning

confidence: 99%

“…In 1982, an IAU Working Group on Nutation (SEIDELMANN 1982) recommended the adoption of five EOP, namely: the precession/nutation angles , w, referred to the equinox and equator; UT1 (universal time 1), corresponding to the sidereal diurnal revolution and GMST or GAST (Greenwich Mean Sidereal Time or Greenwich Apparent Sidereal Time); the polar motion angles x, and y.…”

Section: The Solution For Polar Motionmentioning

confidence: 99%

Earth’s Rotation: A Challenging Problem in Mathematics and Physics

Ferrándiz

Navarro

Escapa

et al. 2014

Pure Appl. Geophys.

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1980 IAU Theory of Nutation: The final report of the IAU Working Group on Nutation

Cited by 224 publications

References 23 publications

Crustal motion results derived from observations in the European geodetic VLBI network

Crustal motion results derived from observations in the European geodetic VLBI network

The Scientific Measurement System of the Gravity Recovery and Interior Laboratory (GRAIL) Mission

Earth’s Rotation: A Challenging Problem in Mathematics and Physics

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