Attitude equilibria of dual spin satellites subject to gravitational torques ofn bodies

We consider the motion of a dual spin satellite placed in the gravitational field of n material points, assuming that the satellite has no influence on the motion of these points. The main bodies are located at the libration points of the classical n bodies problem. We investigate the set of relative equilibria of the satellite. As in the elementary case of a gyrostat attracted by a single point, we show that this problem is equivalent to find the extremum of a quadratic function. We obtain all possible equilibria of the satellite by solving two algebraic equations. Sufficient conditions of stability of these relative equilibria are given.     

Baryte and calcite cements in the 'breccias' of Ogmore-by-Sea, South Wales

Each year many hundreds, if not thousands, of Earth-science students visit the coastline at Ogmore-by-Sea, mid-Glamorgan. They study the excellent exposures of Lower Carboniferous Limestone, with their well-preserved coral and other shelly faunas, together with the presumed late Triassic 'breccias'* that rest unconformably on top. A study of the cements within the breccias may give an insight into syndepositional mineralization and the formation of sedimentary basins linked to the opening of the Atlantic in early Mesozoic times.     

Trace-element-rich brines in eclogitic veins: implications for fluid composition and transport during subduction

Primary and pseudosecondary fluid inclusions occur in oscillatory-and sector-zoned omphacite in eclogitic veins from the Monviso ophiolitic complex in the Western Alps. The inclusions contain aqueous brines and daughter crystals of halite, sylvite, calcite, dolomite, albite, anhydrite and/or gypsum, barite, baddeleyite, rutile, sphene, Fe oxides, pyrite and monazite. This daughter mineral suite indicates high solubilites of Na, K, Ca, Mg, Fe, Zr, Ti, P, Ba, Ce, La, Th, and S species and provides direct evidence for transport of high-fieldstrenght, large-ion-lithophile, and light-rare-earth elements as dissolved species during subduction. Fluid-inclusion heterogeneities preserved within and between adjacent grains in the veins, however, suggest that the scale of fluid equilibration was small. A crack-seal geometry in some of the veins implies that fluid release in pulses rather than steady flow controlled mineral deposition and growth in the veins. From these observations, we develop a model of fluid release and entrapment in which pulses of fluid are associated in time with increments of shear and tensile failure; the rate of fluid release and the reduction in porosity both depend on the rate of plastic flow. Vein fluids may initially be derived from decreptitation of early fluid inclusions in the host eclogites, Small-scale fluid heterogeneities implied by the fluid inclusions in the veins are best interpreted in terms of limited fluid flow, and hence limited metasomatism. We conclude that element recycling into the mantle wedge during subduction will depend at least as strongly on fluid transport mechanisms as on element solubilities in the fluid phase. At Monviso, despite evidence for high trace element solubilities in saline brines, the elements were not removed from the downgoing slab prior to teaching depths of 40 km.     

Numerical investigation of all possible equilibria of dual spin satellites

This paper is the continuation of a previous work [6] in which we have obtained the set of all possible equilibria of a gyrostat satellite attracted by n points mass by solving two algebraical equations P₁=0 and P₂=0. It results that there is a maximum of 24 isolated equilibrium orientations for the satellite. Sufficient conditions of stability for these relative equilibria are given.Here we consider only the elementary case n=1. We show that the coefficients of the two algebrical equations depend on four parameters j₁, j₃, K and v². The two first parameters depend only on the direction of the internal angular momentum of the rotors, the third being only function of the principal moments of inertia of the satellite and the last parameter is a decreasing function of one of the components of . We show that the two polynomials P₁ and P₂ are unvariant within two transformations of the parameters j₁ and j₃. It is then possible to reduce the range of variation of these parameters.For some particular values of the parameters, it is possible to give the minimum number of real roots of equations P₁=0 and P₂=0. In general cases, a computing program is written to obtain the number of real roots of these equations according to the values of the parameters. We show that among the roots found, few of them corresponds to stable equilibrium orientations.     

针式微萃取结合GC-IRMS测定水溶液中甲酸、乙酸的稳定碳同位素组成

甲酸和乙酸稳定碳同位素组成（δ^13C）的分析对环境、食品、制药和自然产品等的研究具有重要的应用价值。但目前尚缺乏有效的测定方法。本研究利用最近出现的针式固相微萃取技术（NeedlEX）,以吹扫．捕集方式对水溶液中的有机酸进行了萃取,然后利用气相色谱．同位素比值质谱联用仪（GC—IRMS）对所萃取的有机酸分子进行了占δ^13C的测定。结果显示,质谱计的信号强度与水溶液中有机酸的浓度存在显著的线性相关关系（R^2〉0．99,P〈0．05）,表明Needl EX对水溶液中有机酸具有稳定的萃取能力。在甲酸与乙酸含量分别不低于300μg／mL与200μg／mL的水溶液中,1000mL的吹扫体积可以使两者δ^13C多次分析结果的相对误差分别保持在3％和1％左右,且整个实验流程没有造成可检测的碳同位素分馏作用。低于这两个浓度界线,则分析误差随浓度的降低迅速增加。本研究虽然是针对水溶液中有机酸δ^13C的测定,其萃取方法对其他水溶性挥发和半挥发有机物δ^13C的分析也同样具有应用价值。     

淡水双壳类壳体碳同位素研究:以河蚬(corbicula fluminea,Müller 1774)为例

双壳类壳体碳酸盐(文石)稳定同位素组成已被广泛地用于古气候和古环境重建研究中,但是双壳类壳体碳同位素组成所指示的气候和环境意义一直是争议的问题.对双壳类河蚬(corbicula fluminea)进行了室内养殖,并选取两个壳体样品(壳高,A=13 mm,B=9mm),测定其生长部分壳体和生长期间水体碳同位素,研究表明,随着水体碳同位素的升高(δ13CDIC由-5.24‰升至1.41‰),两壳体碳同位素也随之升高,表明水体对壳体碳同位素的影响;δ13CA分布范围为-4.76‰～2.09‰,δ13CB为-8.49‰～2.89,壳体A和B碳同位素均比预测平衡值偏负,表明壳体在形成过程中利用了新陈代谢产生的富集12C的CO2.根据计算壳体A在实验中沉淀部分壳体利用新陈代谢碳的比例(M值)为24%～43%,平均值为33%;壳体B为33%～75%,平均值为58%.M值随生物的生长呈下降变化,这说明在实验中河蚬主要是通过增加对DIC的吸收和利用来满足壳体生长对物质量增加的需求.