The onset of chaotic motion in the restricted problem of three bodies

A full characterization of a nonintegrable dynamical system requires an investigation into the chaotic properties of that system. One such system, the restricted problem of three bodies, has been studied for over two centuries, yet few studies have examined the chaotic nature of some ot its trajectories. This paper examines and classifies the onset of chaotic motion in the restricted three-body problem through the use of Poincaré surfaces of section, Liapunov characteristic numbers, power spectral density analysis and a newly developed technique called numerical irreversibility. The chaotic motion is found to be intermittent and becomes first evident when the Jacobian constant is slightly higher thanC ₂.     

Properties of the 20-node brick

Three-dimensional elastoplastic analyses are increasingly feasible as computing power increases. Candidate finite elements for this work are 20-node bricks. In elastoplastic situations, yielding creates ‘soft’ regions within a stiffer surrounding matrix and propagation of spurious modes is possible under reduced integration. In this paper, the intrinsic properties of the 20-node brick are analysed, with a view to avoiding numerical complications in plasticity analyses.     

The RHESSI Spectrometer

RHESSI observes solar photons over three orders of magnitude in energy (3 keV to 17 MeV) with a single instrument: a set of nine cryogenically cooled coaxial germanium detectors. With their extremely high energy resolution, RHESSI can resolve the line shape of every known solar gamma-ray line except the neutron capture line at 2.223 MeV. High resolution also allows clean separation of thermal and non-thermal hard X-rays and the accurate measurement of even extremely steep power-law spectra. Detector segmentation, fast signal processing, and two sets of movable attenuators allow RHESSI to make high-quality spectra and images of flares across seven orders of magnitude in intensity. Here we describe the configuration and operation of the RHESSI spectrometer, show early results on in-flight performance, and discuss the principles of spectroscopic data analysis used by the RHESSI software.     

The 1988 Orange River flood, Upington Region, Northwestern Cape Province, RSA

This paper describes aspects of the 1988 Orange River flood. The Orange River is a perennial, bedrock-controlled river which experienced severe flooding (flood peak: 8300 m³ s^-1) during February-April of 1988. This flood resulted in the loss of life and damage in excess of $126 million. Negligible bank erosion took place in the main channel margins due to the stabilizing effect of tree-lined banks. In contrast, areas removed from the channel margin were characterized by erosion and deposition. Within the confines of the natural flood channels, macroturbulence gave rise to scour holes which sometimes amalgamated into large erosion fields acres in extent. In many cases scour holes were present but macroturbulence-originating obstacles were not, and it is suggested that these were removed by flood-erosion processes. In some instances amalgamation of scour-hole trails (orientated down-current) led to the formation of steep-sided flood channels. Deposition took the form of large sandsheets constructed from fluvial-dune fields and braid-bar accumulations. Post-flood winds reworked some of the deposited sand into aeolian dunes.     

Refraction and scattering into a sandy ocean sediment in the 30-40-kHz band

To observe sound penetration into a sandy sediment, a buried acoustic receiving array was insonified by a wide band sound source carried by a remotely operated vehicle. A slanting array design was used to avoid scattering artifacts. This design overcame possible problems in previous experiments, in which scattering artifacts from the array structure could be mistaken for a propagating wave. The experiments took place in a sandy sediment off the West coast of Florida, as part of the sediment acoustics experiment, which is a multidisciplinary effort to study sediment acoustics. A coherent angle, speed, and height estimation process searched through a four-dimensional search space, of source height and elevation angle, wave speed, and propagation delay to find spherical acoustic wave fronts. Three main categories of waves were found: first refracted, dominant nonrefracted and evanescent. Later acoustic arrivals, a fourth category, remain to be analyzed. Their relative intensities effectively characterize the sediment penetrating acoustic energy. The acoustic sound pressure level of penetrating waves below the critical grazing angle was found to be greater than expected for a flat interface.     

Numerical modelling of the application of capillary barrier systems for prevention of rainfall-induced slope instability

Acta Geotechnica - The most common cause of slope instability is intense or sustained rainfall, which may induce reduction in soil suction, and thus, shear strength. Capillary barrier systems...     

Understanding Place Attachment to the County in the American Great Plains

The American Great Plains is a region dominated by a flat, treeless, semiarid environment that has challenged population settlement for over 140 years. As railroad companies successfully attracted pioneers to settle the land, state governments established hundreds of counties. Following Jeffersonian ideals, many of the counties were small in area so they could better serve the local agricultural‐based population. When states established these counties, they envisioned that the population would continue to grow and the Great Plains would become the breadbasket of North America. Unfortunately that did not materialize. A succession of hardships combined with serious environmental constraints has discouraged large‐scale settlement in the region. Many counties reached their maximum population in the early 1900s and their totals have decreased ever since (in some counties by as much as 60 percent to 80 percent). This has led a number of government officials to consider consolidating counties much like school districts have been combined. Using Logan and Gove counties in western Kansas as a case study, our purpose is to understand how attached people are to the county in which they live. Employing multiple methods, we gathered information about how different segments of the population regard their local county. We learned that changing computer technology and the Internet has the biggest impact on peoples' attachment to the county seat.     

Discovery of a new blue quasar: SDSS J022218.03–062511.1

We report the discovery of a bright blue quasar: SDSS J022218.03–062511.1. This object was discovered spectroscopically while searching for hot white dwarfs that may be used as calibration sources for large sky surveys such as the Dark Energy Survey or the Large Synoptic Survey Telescope project. We present the calibrated spectrum, spectral line shifts and report a redshift of z = 0.521±0.0015 and a rest‐frame g‐band luminosity of 8.71×10¹¹ L_⊙. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)