Classes of Families of Generalized Periodic Solutions to the Beletsky Equation

For the equation describing plane oscillations and rotations of a satellite, we consider families of symmetric generalized periodic solutions with integral rotation number p. We give new confirmations of the hypothesis: there are only four classes of these families with topologically different structures, namely, the classes of families of periodic solutions with p≥ 1, p= 0, p=−1, and p≤−2. Besides, we demonstrate that the vertices of cusps of these families are placed on some analytical curves, and the same is true for the multiple intersections of these families with other families.     

The origin and use of basalt in Old Kingdom funerary temples

Conventional petrographic analysis suggests that basalts in Old Kingdom funerary temples are mineralogically and texturally similar to the Haddadin basalt flow of northern Egypt. To affirm that the Haddadin flow is the stone source, a total of 88 augite and 74 plagioclase electron microprobe analyses were obtained from two Abu Sir (Sahure, Fifth Dynasty) and three Giza (Khufu, Fourth Dynasty) temple paving stone samples and compared to all known, possible (unaltered), basalt units in Egypt (total of 379 augite and 265 plagioclase analyses). Cluster analysis using the averaged temple paving stone and flow unit mineral chemistry data shows that indeed the paving stones are most similar to the Haddadin flow. Discriminant analysis applied to individual augite and plagioclase analyses substantiates this conclusion. Quarrying of the Haddadin flow, probably at Gebel Qatrani, may have lasted more than 900 years, but production peaked during a 320‐year period in the Old Kingdom when funerary temples were being constructed. It is not clear why the Haddadin basalt was so popular, but ease of quarrying (because of columnar jointing), transportability, homogeneity, lack of tectonic joints, religious and symbolic traditions related to color, and resistance to wear may have all been important factors. The methods presented here are applicable to a wide variety of provenance questions involving igneous rocks. More specifically, the discriminant diagrams used to source the temple floor rocks should help in determining the origin of basalts used in other Egyptian artefacts. © 2000 John Wiley & Sons, Inc.     

Comparison of absolute photoelectron fluxes measured on AE-C and AE-E with theoretical fluxes and predicted and measured N2 2PG 3371Å volume emission rates

As part of the continuing effort to improve the accuracy of the absolute measurements of the ambient photoelectron flux in the thermosphere from the Atmosphere Explorer Satellite Photoelectron Spectrometer experiments (PES), we present a detailed comparison of experimental photoelectron fluxes from AE-C and AE-E together with theoretical calculations of the ambient flux for the same geophysical conditions. As an additional check, the various experimental and theoretical fluxes are used to calculate the expected N₂ 2PG (0, 0) volume emission rate expected at 3371Å and these results are compared to AE-C Visible Airglow Experimental (VAE) experimental results. The comparisons clearly show that because of spacecraft shielding of the sensor on AE-C, the agreement with AE-E spectra for similar geophysical conditions ranges from good when shielding is minimal to poor for severe shielding cases. The calculated fluxes are lower by approx. a factor of 1.5–2.0 in absolute magnitude than the AE-E or unshielded AE-C fluxes. The N₂ 2PG volume emission rates calculated from the measured ambient electron fluxes overestimate the measured VAE volume emission rates by 20–30% while those calculated from the theoretical fluxes underestimate the measured emission rate by typically 30%. These data suggest therefore that the measured AE-E fluxes are 20–30% high.     

Propagation of local errors in the solutions of the differential equations for orbital elements

The propagation of errors in the solutions of the differential equations for the orbital elements of perturbed two-body motion is investigated. It is shown that the error in the time-element grows linearly for differential equations for orbital elements when only perturbations are present on the right-hand side, cubically for formulations which have a two-body term on the right-hand side, and linearly for formulations based upon extended phase space Hamiltonians.     

A Crustal Model for the Eastern Alps Region and a New Moho Map in Southeastern Europe

In the last two decades, south-central Europe and the Eastern Alps have been widely explored by many seismic refraction experiments (e.g., CELEBRATION 2000, ALP 2002, SUDETES 2003). Although quite detailed images are available along linear profiles, a comprehensive, three-dimensional crustal model of the region is still missing. This limitation makes this region a weak spot in continental-wide comprehensive representations of crustal structure. To improve on this situation, we select and collect 37 published active-source seismic lines in this region. After geo-referencing each line, we sample them along vertical profiles—every 50?km or less along the line—and derive P-wave velocities in a stack of homogeneous layers (separated by discontinuities: depth of crystalline basement, top of lower crust, and Moho). We finally merge the information using geostatistical methods, and infer S-wave velocity and density using empirical scaling relations. We present here the resulting crustal model for a region encompassing the Eastern Alps, Dinarides, Pannonian basin, Western Carpathians and Bohemian Massif, covering the region within $45^{\circ}\text{--}51^{\circ}\hbox{N}$ and $11^{\circ} \text{--} 22^{\circ}\hbox{E}$ with a resolution of $0.2^{\circ} \times 0.2^{\circ}.$ We are also able to extend and update the map of Moho depth in a wider region within $35^{\circ}\text{--}51^{\circ}\hbox{N}$ and $12^{\circ}\text{--}45^{\circ}\hbox{E},$ gathering Moho values from the collected seismic lines, other published dataset and using the European plate reference EPcrust as a background. All the digitized profiles and the resulting model are available online.     

Applicability of the Climate Hazards Group Infrared Precipitation with Stations as Rainfall Input for SWAT Watershed Modeling

Water Resources - This study assessed the applicability of Climate Hazards Group Infrared Precipitation with Stations (CHIRPS) as rainfall input in watershed modeling using the Soil and Water...     

The Estuarine Quality Paradox, Environmental Homeostasis and the difficulty of detecting anthropogenic stress in naturally stressed areas

Estuaries have long been regarded as environmentally naturally stressed areas because of the high degree of variability in their physico-chemical characteristics, for example oxygen, temperature and salinity in the water column and bed sediment dynamics. However, their biota is well-adapted to cope with that stress and so the areas may be regarded as resilient because of that inherent variability; their ability to absorb stress without adverse effects is regarded here as Environmental Homeostasis. Hence these areas may only be regarded as stressful for marine or freshwater-adapted organisms and that for estuarine organisms this environmental stress is regarded as a subsidy whereby they successfully capitalise on the stressful conditions. In addition, using examples of the estuarine fauna and flora, this article indicates that the characteristics of natural stress in estuaries are similar to those for anthropogenic stress. An over-reliance on ecosystem structural features, such as diversity, in quality indicators therefore makes the detection of the anthropogenic stress more difficult. This difficulty is termed the Estuarine Quality Paradox. Because of these difficulties, the article argues that functional characteristics either as well as or rather than structural ones should be used in detecting environmental perturbations in estuaries.     

Spatial variability of soil nutrients in disturbed riverine mangrove forests at different stages of regeneration in the San Juan River estuary,Venezuela

Geostatistical analysis of selected soil properties were performed in two mangrove sites (B7 and B9) dominated by the mangrove speciesRhizophora mangle along the San Juan River, Venezuela, to evaluate the effect of forest disturbance on nutrient spatial distributions. Plots within area B7 were clear-cut in 1972–1973 and in area B9 in 1982–1983. Four plots within each area were systematically selected and represented natural (2) and regenerated (2) forests. Individual plots were 1.5 ha in B7 and 1.25 ha in B9 and sampled at a resolution of 25 m. Soil samples were obtained at the intersection of an aligned grid with 90 points in B7 and 78 points in B9. Measured soil properties included salinity, total nitrogen, total carbon, total phosphorus, osmolality, and pore water cation concentrations (potassium, calcium, magnesium, and sodium). Sites were sampled in May 1996 and 1997, although spatial analysis was performed only for the data obtained in May 1997. Geostatistical analysis showed that most of the variables tested were spatially auto-correlated within each area and that there were no differences between regenerated and natural plots. Structural variance as a proportion of sample variance ranged from 55–99% for most of the properties. The significant spatial dependence observed for most of the variables in natural and regenerated plots, despite management schedules, indicates that clear-cutting did not have an effect on modifying the distribution of nutrient concentrations. These results suggest that after 15 and 25 yr following forest disturbance nutrient distributions were reestablished either there was not a net effect on patterns of element loss or tidal input was stronger than plant modifications of soils.     

Spreading of a NAPL lens in a double-porosity medium

Spreading of a non-aqueous phase liquid (NAPL) denser than water (DNAPL) lens (mound) in the unsaturated zone of double-porosity aquifer above an impervious plane boundary is investigated. The double-porosity aquifer is conceptualized as a fracture network surrounding pervious blocks. Vertical gravity equilibrium is assumed to prevail in each one of the two media, fractures and blocks. Through vertical integration, two coupled partial differential equations for the DNAPL content in each medium are obtained. The mass exchange rate between high- and low-permeability media is considered as a function of NAPL content. The dominant effect is gravity, whereas capillary forces are negligible. Analytical solutions for one-dimensional and axisymmetric problems of mound spreading are obtained.