Trigonometric Approximations for Bessel Functions

Bessel functions, used extensively in mathematical physics, electromagnetics, and communication-system theory, must often be approximated by appropriate formulas. The functions J?(x) and I?(x) for integer values of p are well approximated by the sum of a small number of circular and hyperbolic sines or cosines, respectively, when x is not too large, e.g., less than 10, and convenient expressions are obtained for their errors. These approximations are especially convenient for use on personal computers (PCs) and pocket calculators and in analytically evaluating integrals.     

Do ring current ions set the outer plasmasphere in motion?

GEOS-2 experiments have observed on a regular basis the transition from teh plasmasphere to the trough revealing a more tenuous and energetic population. This transition occured typically between 18 and 21 h local time under quiet geomagnetic conditions. On the plasmasphere side of the transition, large electric fields of several mV/m, mainly in the duskward direction, were observed. The present statistical results, over one year of data, assess clearly the mean magnitude and direction of these electric fields in relation to the boundary between these two plasma regimes under quiet geomagnetic conditions. The possibility of ring current energetic ions loosing part of their energy to the plasmasphere and accelerating this plasma sunward will be discussed.     

Analysis of a spacecraft life support system for a Mars mission

This report summarizes a trade study conducted as part of the Fall 2002 semester Spacecraft Life Support System Design course (ASEN 5116) in the Aerospace Engineering Sciences Department at the University of Colorado. It presents an analysis of current life support system technologies and a preliminary design of an integrated system for supporting humans during transit to and on the surface of the planet Mars. This effort was based on the NASA Design Reference Mission (DRM) for the human exploration of Mars [NASA Design Reference Mission (DRM) for Mars, Addendum 3.0, from the world wide web: http://exploration.jsc.nasa.gov/marsref/contents.html.]. The integrated design was broken into four subsystems: Water Management, Atmosphere Management, Waste Processing, and Food Supply. The process started with the derivation of top-level requirements from the DRM. Additional system and subsystem level assumptions were added where clarification was needed. Candidate technologies were identified and characterized based on performance factors. Trade studies were then conducted for each subsystem. The resulting technologies were integrated into an overall design solution using mass flow relationships. The system level trade study yielded two different configurations--one for the transit to Mars and another for the surface habitat, which included in situ resource utilization. Equivalent System Mass analyses were used to compare each design against an open-loop (non-regenerable) baseline system.     

Young Children's Perception of Diagrammatic Representations

Diagrams and pictorial representations are common in children's lives and require abstraction away from visual perception. In three experiments, we investigated 4- to 8-year-olds’ comprehension of such representations. In Experiment 1 (N = 80), children were shown photographs of geometric objects and asked to choose the corresponding line drawing from among sets of four, or vice versa. Results showed considerable developmental progression, especially around age 6. Experiment 2 (N = 16) ruled out that 4-year-olds’ difficulties were due to problems with the visual matching task itself. Experiment 3 (N = 32) showed comparable performance for matching diagrams to 3D objects rather than to photographs. Findings suggest increasing understanding of diagrammatic representations around the time of school entry.     

Superlow-Frequency MHD-Eigenoscillations With a Discrete Spectrum in Parabolic Model of Magnetosphere

A new concept of the global magnetospheric resonator is suggested for fast magnetosonic waves in which the role of the resonator is played by the near part of the plasma sheet. It is shown that the magnetosonic wave is confined in this region of the magnetosphere throughout its boundaries. The representative value of the resonator's eigenfrequency estimated at f ≈ 1 mHz is in good agreement with observational data on ultraThe theory explains the ground-based localization of the oscillations observed in the midnight-morning sector of the high-latitude magnetosphere.     

Population dynamics of an algal-bacterial cenosis in closed ecological system.

The paper deals with microalgae-bacteria interrelationships in the "autotroph-heterotroph" aquatic biotic cycle. Explanations of why and how algal-bacterial ecosystems are formed still remain controversial. The paper presents results of experimental and theoretical investigations of the functioning of the algal-bacterial cenosis (the microalga Chlorella vulgaris and concomitant microflora). The Chlorella microbial community is dominated by representatives of the genus Pseudomonas. Experiments with non-sterile batch cultures of Chlorella on Tamiya medium showed that the biomass of microorganisms increases simultaneously with the increase in microalgal biomass. The microflora of Chlorella can grow on organic substances released by photosynthesizing Chlorella. Microorganisms can also use dying Chlorella cells, i.e. form a "producer-reducer" biocycle. To get a better insight into the cenosis-forming role of microalgae, a mathematical model of the "autotroph-heterotroph" aquatic biotic cycle has been constructed, taking into account the utilization of Chlorella photosynthates and dead cells by microorganisms and the contribution of the components to the nitrogen cycle. A theoretical study showed that the biomass of concomitant bacteria grown on glucose and detritus is larger than the biomass of bacteria utilizing only microalgal photosynthates, which agrees well with the experimental data.     

Robust Nonlinear Attitude Control of Flexible Spacecraft

This paper presents an approach to large-angle rotationalmaneuvers of a spacecraft-beam-tip body configuration based onnonlinear invertibility and linear feedback stabilization. A controllaw Ud is derived for the decoupled control of attitude angles, lateralelastic deflections, slopes due to bending and angular deflection dueto torsion at the tip of the beam using torquers and force actuators.For the stabilization of the elastic modes, a linear feedback controllaw us is obtained based on a linearized model augmented with aservocompensator. Simulation results are presented to show thatlarge slewing and elastic mode stabilization can be accomplished.     

A Combined Programmed and Adaptive Null Steering Technique

The described method of antenna null steering makes use of calibrated and stored weight distributions for each solid angle increment of a radar search volume. Based upon direction measurement to an interference source, the appropriate weight distributions are calculated for each relative antenna position. In addition to the programmed part an adaptive inner loop is included for fine null adjustment. The major parameters and characteristics of the null steering technique are studied and evaluated through computer simulation programs.     

A boundary value problem of aerohydrodynamics in designing an axisymmetric body with jet blowout

A numerical and analytical method for constructing a shape of the axisymmetric body streamlined with jet blowout by the specified velocity distribution along its meridian section is proposed. The foundation of the method is the iteration process based on the solutions of an inverse problem in the plane case and a primal problem for the axisymmetric body. A program realizing the iteration process is set up and examples of numerical calculations are given.     

Children's Use of Slope to Guide Navigation: Sex Differences Relate to Spontaneous Slope Perception

Recent findings show that human adults can use slope to guide spatial search, although men significantly outperform women. To examine the sex difference more closely, we tested school-age children in a similar paradigm. Over four trials, children (n = 110) were disoriented and asked to locate a hidden target when the floor of a square enclosure was flat (control condition), sloped (slope condition), or sloped with a “ball drop demonstration,” intended to make the slope more salient (ball drop condition). In the presence of the slope cue, children performed above chance, although boys significantly outperformed girls. Boys were also more likely to notice the slope, and spontaneous slope perception was key to using the slope cue.