Rigorous transformation of variance–covariance matrices of GPS-derived coordinates and velocities

With the advances in the field of GPS positioning and the global densification of permanent GPS tracking stations, it is now possible to determine at the highest level of accuracy the transformation parameters connecting various international terrestrial reference frame (ITRF) realizations. As a by-product of these refinements, not only the seven usual parameters of the similarity transformations between frames are available, but also their rates, all given at some epoch t _k . This paper introduces rigorous matrix equations to estimate variance–covariance matrices for transformed coordinates at any epoch t based on a stochastic model that takes into consideration all a priori information of the parameters involved at epoch t _k , and the coordinates and velocities at the reference frame initial epoch t ₀. The results of this investigation suggest that in order to attain maximum accuracy, the agencies determining the 14-parameter transformations between reference frames should also publish their full variance–covariance matrix. Electronic Publication     

Phase relations governing the derivation of alkaline basaltic magmas from primary magmas at high pressures

A comparison between the variation trend of alkaline basaltic magmas within the CaO-MgO-Al₂O₃-SiO₂ system and experimentally estimated phase relations for this system at high pressures, suggests an olivine reaction relationship, which may explain the transition from primary magmas in equilibrium with olivine to alkaline basaltic magmas in which olivine does not form at high pressures. This reaction relationship is considered to be due to a transition from positive to negative crystallization with respect to olivine along the four phase curve where olivine, diopside, pyrope garnet and liquid are initially in equilibrium. The bimineralic, eclogitic character of alkaline basaltic compositions at high pressures is interpreted as being due to the presence of a thermal minimum on the three phase surface, where dioside and pyrope garnet are in equilibrium with liquid.     

Sphalerite composition in relation to the stress distribution of a boudinage

The content of FeS in sphalerites from different parts of a boudinage is compared with the theoretical stress pattern. The calculated differences in stress correspond to less than one mole percent FeS and are often masked by the small variations in the fugacity of sulfur.     

The dynamic cusp at low altitudes: a case study utilizing Viking,DMSP-F7, and Sondrestrom incoherent scatter radar observations

Coincident multi-instrument magnetospheric and ionospheric observations have made it possible to determine the position of the ionospheric footprint of the magnetospheric cusp and to monitor its evolution over time. The data used include charged particle and magnetic field measurements from the Earth-orbiting Viking and DMSP-F7 satellites, electric field measurements from Viking, interplanetary magnetic field and plasma data from IMP-8, and Sondrestrom incoherent scatter radar observations of the ionospheric plasma density, temperature, and convection. Viking detected cusp precipitation poleward of 75.5○ invariant latitude. The ionospheric response to the observed electron precipitation was simulated using an auroral model. It predicts enhanced plasma density and elevated electron temperature in the upper E- and F-regions. Sondrestrom radar observations are in agreement with the predictions. The radar detected a cusp signature on each of five consecutive antenna elevation scans covering 1.2 h local time. The cusp appeared to be about 2○ invariant latitude wide, and its ionospheric footprint shifted equatorward by nearly 2○ during this time, possibly influenced by an overall decrease in the IMF B_z component. The radar plasma drift data and the Viking magnetic and electric field data suggest that the cusp was associated with a continuous, rather than a patchy, merging between the IMF and the geomagnetic field.     

On atmospheric wave generation by the terminator

The dominant response of the terminator is found to be due to the change in thermospheric absorption of solar radiation, and leads to two types of atmospheric waves: (i) a ducted acoustic wave at altitudes below 100 km and (ii) a boundary wave concentrated along the mesopause.     

A continuous recorder for condensation nuclei

Summary A continuous recorder of condensation nuclei with multiple ranges that are substantially linear over the range of 500 to 50,000 nuclei per ml full scale is described. The range can be extended but the scale law becomes proportional to the cube root of the nuclei concentration. The sampling rate is 100 ml/sec and the response time is less than 2 seconds.The unit works on fog-scattered light with dark-field illumination. The expansion ratio is adjustable (at the expense of recalibration) and can be made high enough to respond to a radium source. The electronics are simple and sturdy; the unit has been used on a truck in motion.     

On the time required for aerosols to reach electrical equilibrium

Summary Natural aerosols over the ocean are usually in electrical equilibrium. Aerosols in cities are hardly ever in electrical equilibrium. Aerosols over land are frequently not in equilibrium even though distant from any obvious source of contamination.Calculations are given of the time required to reach equilibrium which would lead one to expect the conditions encountered over the ocean and in cities. Some speculations are made on the lack of equilibrium over land.

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Zusammenfassung Natürliche Aerosole über dem Ozean sind gewöhnlich in elektrischem Gleichgewicht. Aerosole in Städten sink kaum jemals im elektrischen Gleichgewicht. Aerosole über Land sind häufig nicht im Gleichgewicht, selbst wenn sie weit weg von irgendwelchen offenkundigen Quellen der Verunreinigung sind.Es werden Berechnungen der Zeit, welche für die Erreichung des Gleichgewichtes erforderlich ist, gegeben. Einige überlegungen über das Nichtvorhandensein elektrischen Gleichgewichtes über Land werden mitgeteilt.