Poincaré's méthode nouvelle by skew composition     

Etienne Deprit  André Deprit 《Celestial Mechanics and Dynamical Astronomy》1999,74(3):175-197

Poincaré designed the méthode nouvelle in order to build approximate integrals of Hamiltonians developed as series of a small parameter. Due to several critical deficiencies, however, the method has fallen into disuse in favor of techniques based on Lie transformations. The paper shows how to repair these shortcomings in order to give Poincaré’s méthode nouvelle the same functionality as the Lie transformations. This is done notably with two new operations over power series: a skew composition to expand series whose coefficients are themselves series, and a skew reversion to solve implicit vector equations involving power series. These operations generalize both Arbogast’s technique and Lagrange’s inversion formula to the fullest extent possible. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

北大别片麻岩中锆石U—Pb年龄离子探针初步测定   总被引：24，自引：5，他引：19  

陈道公 Delou.  E 《岩石学报》2000,16(2):199-202

对北大别鹿吐石和道士冲二个片麻岩中锆石进行了离子探针Ｕ－Ｐｂ年龄测定。二个样品１３个颗粒的２０个有效测定点的年龄表明,鹿吐石片麻岩主要分布在２３３￣３９４Ｍ道士冲片麻岩在３０７￣７１８Ｍａ之间。道十冲片麻岩年龄的一致性程度要高于鹿叶石,两个样品均无低于２２０Ｍａ的年龄信息。由于存在年龄的不一致性,这些年龄可能代表了由古老岩浆锆石和三叠纪的超高压变质锆石或者早白垩纪岩浆锆石所代表的混合、增生锆石。Ｈ  相似文献   

华北新太古代和中生代大陆下地壳中的水:以汉诺坝地区为例     

杨晓志  夏群科  樊祺诚  Etienne Deloule  郝艳涛 《地球化学》2007,36(2):113-119

应用显微傅里叶变换红外光谱技术,对华北克拉通北缘汉诺坝地区的太古宙地体麻粒岩和新生代玄武岩中捕虏体麻粒岩(中生代底侵成因)的主要组成矿物(单斜辉石、斜方辉石、斜长石和石榴子石)进行了详细分析.结果表明,无论是地体麻粒岩还是捕虏体麻粒岩,岩石中的主要组成矿物均含有结构水,主要以OH形式存在.同种产状麻粒岩的矿物水含量(H2O%)均存在较大的变化,而且都远远超出实验误差,表明下地壳内水的分布可能是不均一的.两种产状麻粒岩的矿物结构水含量有着显著的不同,地体麻粒岩中矿物的水含量是捕虏体麻粒岩的2倍以上.太古宙-古元古代形成的安徽女山新生代玄武岩中的捕虏体麻粒岩具有与汉诺坝太古宙地体麻粒岩相似的水含量范围,但明显高于汉诺坝中生代形成的捕虏体麻粒岩.由此看来,早期(太古宙-古元古代)下地壳的水含量要比中生代形成的下地壳高得多,这可能指示不同时代下地壳在形成机制和性质上的不同.  相似文献   

Precision spacecraft navigation using a low-cost GPS receiver   总被引：1，自引：1，他引：0  

Oliver Montenbruck  Paul Swatschina  Markus Markgraf  Stefano Santandrea  Joris Naudet  Etienne Tilmans 《GPS Solutions》2012,16(4):519-529

Within the PROBA-2 microsatellite mission, a miniaturized single-frequency GPS receiver based on commercial-off-the-shelf (COTS) technology is employed for onboard navigation and timing. A rapid electronic fuse protects against destructive single-event latch-ups (SEL) and enables a quasi-continuous receiver operation despite the inherent sensitivity to space radiation. While limited to single-frequency C/A-code tracking with a narrow-band frontend, the receiver is able to provide precision navigation services through processing of raw GPS measurements on ground as well as a built-in real-time navigation system. In both cases, ionospheric path delays are eliminated through a combination of L1 pseudorange and carrier phase measurements, which also offers a factor-of-two noise reduction relative to code-only processing. By comparison with satellite laser ranging (SLR) measurements, a 0.3-m (3D rms) accuracy is demonstrated for the PROBA-2 reduced dynamic orbit determinations using post-processed GPS orbit and clock products. Furthermore, the experimental onboard navigation system is shown to provide real-time position information with a 3D rms accuracy of about 1?m, which notably outperforms the specification of the Standard Positioning Service (SPS). In view of their lower hardware complexity, mass budget and power requirements as well as the reduced interference susceptibility, legacy C/A-code receivers can thus provide an attractive alternative to dual-frequency receivers even for demanding navigation applications in low Earth orbit.  相似文献   

Society Awards 2011     

Etienne Nel 《New Zealand geographer》2012,68(1):67-67

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The strength of biogenic sand reefs: Visco-elastic behaviour of cement secreted by the tube building polychaete Sabellaria alveolata, Linnaeus, 1767     

Jean-Benoît Le Cam  Jérôme Fournier  Samuel Etienne  Jérôme Couden 《Estuarine, Coastal and Shelf Science》2011

Mechanical properties of the biomineralised cement from tube-building marine worms are poorly known. Secreted from an organ connected to the polychaetes specialised glands, the cement glues sand grains and calcareous shell fragments of a given size and, on a larger scale, ensures the resistance of the reef to waves. In this study, three kinds of mechanical tests were performed with worm tubes to establish the nature of the cement behaviour. Results obtained show that cement behaves like a visco-elastic material. This property allows the tubes to dissipate the mechanical energy from the waves to which they are subject and to reduce the mechanical stress transmitted inside the tubes to the polychaetes. Comparison of “fresh” and “dry” cements highlights that the visco-elastic behaviour of the cement is maintained after five years. The viscosity of the cement is therefore not related to moisture but to its chemical composition. More generally, these results offer a better understanding of the role of cement on worm reefs strength and their persistence in the geological record.  相似文献   

Digital Surface Modelling by Airborne Laser Scanning and Digital Photogrammetry for Glacier Monitoring   总被引：2，自引：0，他引：2  

Emmanuel P. Baltsavias  Etienne Favey  reas Bauder  Hermann Bosch  & Maria Pateraki 《The Photogrammetric Record》2001,17(98):243-273

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Velocity Spectra and Coherence Estimates in the Marine Atmospheric Boundary Layer     

Etienne Cheynet  Jasna B. Jakobsen  Joachim Reuder 《Boundary-Layer Meteorology》2018,169(3):429-460

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The effect of H<Subscript>2</Subscript>O on the olivine liquidus of basaltic melts: experiments and thermodynamic models   总被引：2，自引：2，他引：0  

Etienne Médard  Timothy L. Grove 《Contributions to Mineralogy and Petrology》2008,155(4):417-432

We designed and carried out experiments to investigate the effect of H₂O on the liquidus temperature of olivine-saturated primitive melts. The effect of H₂O was isolated from other influences by experimentally determining the liquidus temperatures of the same melt composition with various amounts of H₂O added. Experimental data indicate that the effect of H₂O does not depend on pressure or melt composition in the basaltic compositional range. The influence of H₂O on melting point lowering can be described as a polynomial function This expression can be used to account for the effect of H₂O on olivine-melt thermometers, and can be incorporated into fractionation models for primitive basalts. The non-linear effect of H₂O indicates that incorporation of H₂O in silicate melts is non-ideal, and involves interaction between H₂O and other melt components. The simple speciation approach that seems to account for the influence of H₂O in simple systems (albite-H₂O, diopside-H₂O) fails to describe the mixing behavior of H₂O in multi-component silicate melts. However, a non-ideal solution model that treats the effect of H₂O addition as a positive excess free energy can be fitted to describe the effect of melting point lowering.  相似文献   

CODE’s five-system orbit and clock solution—the challenges of multi-GNSS data analysis   总被引：1，自引：1，他引：0  

Lars Prange  Etienne Orliac  Rolf Dach  Daniel Arnold  Gerhard Beutler  Stefan Schaer  Adrian Jäggi 《Journal of Geodesy》2017,91(4):345-360

This article describes the processing strategy and the validation results of CODE’s MGEX (COM) orbit and satellite clock solution, including the satellite systems GPS, GLONASS, Galileo, BeiDou, and QZSS. The validation with orbit misclosures and SLR residuals shows that the orbits of the new systems Galileo, BeiDou, and QZSS are affected by modelling deficiencies with impact on the orbit scale (e.g., antenna calibration, Earth albedo, and transmitter antenna thrust). Another weakness is the attitude and solar radiation pressure (SRP) modelling of satellites moving in the orbit normal mode—which is not yet correctly considered in the COM solution. Due to these issues, we consider the current state COM solution as preliminary. We, however, use the long-time series of COM products for identifying the challenges and for the assessment of model-improvements. The latter is demonstrated on the example of the solar radiation pressure (SRP) model, which has been replaced by a more generalized model. The SLR validation shows that the new SRP model significantly improves the orbit determination of Galileo and QZSS satellites at times when the satellite’s attitude is maintained by yaw-steering. The impact of this orbit improvement is also visible in the estimated satellite clocks—demonstrating the potential use of the new generation satellite clocks for orbit validation. Finally, we point out further challenges and open issues affecting multi-GNSS data processing that deserves dedicated studies.  相似文献