On the gravitational fields of Pandora and Prometheus

Utilizing topographic models of Saturn's F-ring shepherd satellites Prometheus (S16 1980S27) and Pandora (S15 1980S26), derived by Stooke (1994), and supposing that their mass density is constant, we derived basic geometrical and dynamical characteristics of the moons. They include the volume and mass, the mean radii, the tensor of inertia, and Stokes coefficients of the harmonic expansions of external gravitational potential. The best fitting ellipsoid approximations of the topography were calculated. A simple method of determining the gravitational potential on the surface of an irregular satellite is presented. Examples of equipotential surfaces of the satellites are shown     

Solutions homoclinic to regular precessions of a symmetric satellite

The aim of this paper is to study numerically asymptotic manifolds and homoclinic solutions to the regular precessions of a rigid symmetric satellite in a circular orbit.     

Effect of weather conditions on the incidence of Lophodermium yellow needle blight in the dwarf mountain pine in the Karkonosze and Izerskie Mountains (Poland)

The study aimed to determine, by using a statistical model, the effect of weather conditions on the incidence of Lophodermium yellow needle blight causing by new species for science- Lophodermium corconticum, in the mountain dwarf pine growing in the subalpine Karkonosze Mountains and the Izerskie Mountains(Poland). Needles showed symptoms of yellow spots, gradual discolouration and premature fall in July. The assessment of healthiness of infected mountain dwarf pine needles spanned three years(2011- 2013) and was conducted in several test sites in the Karkonosze and Izerskie Mountains. The results were analyzed by taking into account the meteorological conditions. Field observations seem to indicate that the highest infestation of mountain dwarf pine occurs in June and July, while September and October see a significantly lower disease index in the Karkonosze Mountains. The lower indices of the infestation of mountain dwarf pine are characteristic for the vegetation in the Hala Izerska high mountain pasture; whereas the environmental conditions prevailing in the Kocio? Ma?ego Stawu cirque and above the Samotnia hostel are conducive to the development of Lophodermium yellow needle blight.     

Orbit calculations near by the equilibrium points by a discrete mechanics method

Basic formulas of discrete mechanics in a rotating frame of references are obtained. Its application to several computer examples of orbits near by the equilibrium points of the Earth-Moon system are presented, and—for computational purposes—an algorithm is given.     

Sediment dispersal and provenance in the Silesian,Dukla and Magura flysch nappes (Outer Carpathians,Poland)

The Polish Outer Carpathians consist of several flysch series of unknown original basement. They were deposited from Late Jurassic to Miocene in a large basin dissected by tectonically uplifted ridges (cordillieras) which acted as source terrains. The actual nappe pile is correlated with palaeogeographic basin realms. From N to S the Skole, Silesian, Dukla and Magura basins are distinguished. Our paper presents a first compilation of heavy mineral data and pebble analysis in the various turbiditic fan systems. It is assumed that the heavy minerals primarily reflect the nature of basement rocks exposed in the source terrains.The individual flysch basins were supplied generally from unmetamorphosed granitic to highgrade metamorphic continental basement series. But staurolite-bearing high-grade metamorphics appear to have been present only in the northernmost provenance area (Silesian and Subsilesian ridges). A few reworked chromian spinel mineral grains in the northern parts of the basin were derived from small Caledonian/Variscan ultrabasic sutures present in the source ridges. Increased chromian spinel contents are revealed in the southern part of the basin (Maastrichtian-Eocene Magura series) and in Cretaceous Pieniny Klippen belt flysch formations. The chromian spinel in the Magura series was derived, either directly from Alpine oceanic crust obducted in the southern part of the Pieniny realm, or from re-eroded Pieniny flysch series. Hence, our heavy mineral data indicate that in the Outer Carpathian basin during Cretaceous convergence no Alpine ophiolitic crust was obducted. Therefore, an ophiolitic basement to the individual basins appears inprobable. The Outer Carpathians presumably occupied, with respect to the internal suture zone, the position of a deep continental basement floored foreland basin.

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Zusammenfassung Die Äußeren Karpathen in Polen bestehen aus mehreren von ihrem Untergrund abgescherten Flysch-Serien, die von oberem Jura bis Miozän in einem Großbecken abgelagert wurden, das durch mehrere tektonisch hochgehobene Rücken (Cordillieren oder Liefergebiete) in Teilbecken gegliedert war. Das ursprüngliche Substrat der verschiedenen Becken ist unbekannt und die heutige Deckenstruktur wird mit der ursprünglichen Beckenanordnung korreliert. Von N nach S werden die Skole-, Silesien-, Duklaund Magura-Becken unterschieden. Die vorliegende Arbeit präsentiert eine erste Zusammenfassung von Schwermineraldaten und Geröllanalysen in den verschiedenen turbiditischen Schüttungssystemen. Dabei wird davon ausgegangen, daß die Schwermineralgehalte der Sandsteine primär die Zusammensetzung des kristallinen Grundgebirges in den Liefergebieten widergeben.Die einzelnen Flyschbecken wurden zumeist von unmetamorphem granitischem bis hochgradig metamorphem kontinentalem Grundgebirge beliefert. Staurolith-führende hochgradige Metamorphite waren jedoch nur in den nördlichst gelegenen Liefergebietsprovinzen (Silesischer und Subsilesischer Rücken) anstehend. Geringe Vorkommen von Chromspinell in den nördlichen Beckenteilen stammen von kleineren caledonisch/variszischen ultrabasischen Einschlüssen (Suturen) in den Cordillieren. Erhöhte Chromspinellgehalte werden nur im südlichen Becken (Maastricht bis Tertiär des Magura-Beckens) und in kretazischen Flyschen der Pieniny-Klippen festgestellt. Der Chromspinell in den Magura-Serien stammt von alpiner ozeanischer Kruste, die während der Kreide im südlichen Pieniny-Raume obduziert wurde oder von neuerlich erodierten Flyschen aus den Pieniny-Becken. Unsere Schwermineraldaten weisen folglich darauf hin, daß während der kretazischen tektonischen Konvergenz im Bereich der Äußeren Karpathen keine alpin gebildete ophiolithische Kruste aufgeschuppt wurde. Die Anwesenheit eines ozeanischen Untergrundes der einzelnen Teilbecken erscheint deshalb unwahrscheinlich. Die Äußeren Karpathen nahmen deshalb vermutlich gegenüber der internen Suturzone die Stellung eines tiefen Foreland-Beckens über kontinentaler Kruste ein.

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Résumé Les Carpathes externes, en Pologne, sont composées de plusieurs séries de flysch d'âge jurassique à miocène déposées dans un grand bassin alimenté par l'érosion de rides tectoniques internes et externes (cordillères). Ces séries de flysch sont préservées en nappes, classiquement corrélées avec différents domaines paléogéographiques du bassin. Le substratum originel de ces bassins individuels n'est pas connu et reste discuté. On distingue, du nord au sud, les bassins de Skole, de Silésie, de Dukla et de Magura. Nous présentons ici les premiers résultats de l'analyse des minéraux lourds et des lithoclastes reconnus dans les principaux éventails turbiditiques sous-marins. Nous partons de l'hypothèse que le contenu des grès en minéraux lourds reflète la nature du socle cristallin qui était à l'affleurement dans les diverses régions-source.D'une manière générale, les bassins de flysch ont été alimentés par des terrains granitiques non métamorphiques et par des formations métamorphiques de moyenne et haute température. Il semble cependant que les terrains métamorphiques de haut degré à staurotide étaient présents seulement dans les sources les plus septentrionales (rides silésienne et subsilésienne). Le spinelle chromifère présent en petite quantité dans la partie nord du bassin peut être expliqué par la présence d'inclusions ultramafiques calédoniennes ou varisques (zones de sutures) dans les cordillères. Une proportion élevée de grains de spinelle chromifère ne s'observe que dans la partie méridionale du bassin des Carpathes externes (séries maastrichtiennes et tertiaires du bassin de Magura) et dans les flyschs crétacés des clippes de Pieniny. Il est suggéré que le spinelle chromifère du bassin de Magura a été fourni par la croûte océanique alpine, obductée au cours du Crétacé dans la partie interne du domaine des clippes de Pieniny, ou par l'érosion secondaire des flyschs de Pieniny.La rareté et l'origine probablement ancienne des spinelles chromifères dans la partie septentrionale indique que lors des mouvements convergents crétacés aucune roche ophiolitique alpine n'était exposée à l'érosion. Par conséquent, la présence de fonds océaniques dans ces bassins individuels semble peu probable. Les Carpathes externes représentent probablement un bassin profond, de type «foreland» par rapport à une zone de suture ophiolitique plus interne.

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Seismic hazard in East Africa: An example of the application of incomplete and uncertain data

Earthquake hazard parameters maximum regional magnitude M _max and annual activity rate , and the b parameter of the Gutenberg-Richter relation have been evaluated for parts of East Africa. The applied maximum likelihood method permits the combination of both historical and instrumental data available (the catalog used here covers the interval 1880–1979). In addition, the uncertainty involved in magnitude determination and thresholds of completeness were taken into account. The hazard-parameter determination was performed for two study areas corresponding to segments of the eastern and western branches of the East African rift system. The results for these areas show differences that can be partly explained through the characteristics of the data.     

Charge States of Krypton and Xenon in the Solar Wind

We calculate charge state distributions of Kr and Xe in a model for two different types of solar wind using the effective ionization and recombination rates provided from the OPEN_ADAS data base. The charge states of heavy elements in the solar wind are essential for estimating the efficiency of Coulomb drag in the inner corona. We find that xenon ions experience particularly low Coulomb drag from protons in the inner corona, comparable to the notoriously weak drag of protons on helium ions. It has been found long ago that helium in the solar wind can be strongly depleted near interplanetary current sheets, whereas coronal mass ejecta are sometimes strongly enriched in helium. We argue that if the extraordinary variability of the helium abundance in the solar wind is due to inefficient Coulomb drag, the xenon abundance must vary strongly. In fact, a secular decrease of the solar wind xenon abundance relative to the other heavier noble gases (Ne, Ar, Kr) has been postulated based on a comparison of noble gases in recently irradiated and ancient samples of ilmenite in the lunar regolith. We conclude that decreasing solar activity and decreasing frequency of coronal mass ejections over the solar lifetime might be responsible for a secularly decreasing abundance of xenon in the solar wind.     

Numerical modeling and neural networks to identify model parameters from piezocone tests: II. Multi‐parameter identification from piezocone data

This paper completes the study presented in the accompanying paper, and demonstrates a numerical algorithm for parameter prediction from the piezocone test (CPTU) data. This part deals with a development of neural network (NN) models which are able to map multi‐variable input data onto typical geotechnical characteristics and constitutive parameters of the modified Cam clay model, which has been applied in this study. The identification procedure is designed for the coupled hydro‐mechanical boundary value problem in normally‐and lightly overconsolidated clayey soils including partially drained conditions that may appear during cone penetration. The NN models are trained with pseudo‐experimental measurements derived with the aid of the numerical model of the piezocone test, presented in the accompanying paper. Different input configurations containing CPTU measurements and some complementary data are studied with respect to the accuracy of predicted parameter values. Finally, the performance of the developed NN predictors is tested with field CPTU data which are derived from three well‐documented characterization sites, and the obtained predictions are compared with benchmark laboratory results. Copyright © 2011 John Wiley & Sons, Ltd.