Simple solutions for hyperbolic and related position fixes

Navigation fixed from range differences to three stations and an additional piece of information are investigated. It is shown that if the additional information is the navigator altitude, or the range difference to a fourth station, the computation of the navigation fix is reduced to finding the roots of a quadratic. If the additional information is the range to another station, or that the navigator is on the Earth ellipsoid, the fix can be obtained by solving a quartic. By emphasizing the underlying geometric interpretations, these fixes and their simple solutions are made clear. The derivations also show that the same solution algorithms are applicable if the basic navigation measurements are range sums instead of range differences     

CELSS nutrition system utilizing snails

At the 40th IAF Congress in Malaga, a nutrition system for a lunar base CELSS was presented. A lunar base with a total of eight crew members was envisaged. In this paper, four species of plants--rice, soybean, lettuce and strawberry--were introduced to the system. These plants were sufficient to satisfy fundamental nutritional needs of the crew members. The supply of nutrition from plants and the human nutritional requirements could almost be balanced. Our study revealed that the necessary plant cultivation area per crew member would be nearly 40 m3 in the lunar base. The sources of nutrition considered in the study were energy, sugar, fat, amino acids, inorganic salt and vitamins; however, calcium, vitamin B2, vitamin A and sodium were found to be lacking. Therefore, a subsystem to supply these elements is of considerable value. In this paper, we report on a study for breeding snails and utilizing meat as food. Nutrients supplied from snails are shown to compensate for the above mentioned lacking elements. We evaluate the snail breeder and the associated food supply system as a subsystem of closed ecological life support system.     

Spatial orientation during locomotion [correction of locomation] following space flight

To investigate changes in spatial orientation ability and walking performance following space flight, 7 astronaut subjects were asked pre- and post-flight to perform a goal directed locomotion paradigm which consisted of walking a triangular path with and without vision. This new paradigm, involving inputs from different sensory systems, allows quantification of several critical parameters, like orientation performance, walking velocities and postural stability, in a natural walking task. The paper presented here mainly focusses on spatial orientation performance quantified by the errors in walking the previously seen path without vision. Errors in length and reaching the corners did not change significantly from pre- to post-flight, while absolute angular errors slightly increased post-flight. The significant decrease in walking velocity and a change in head-trunk coordination while walking around the corners of the path observed post-flight may suggest that during re-adaptation to gravity the mechanisms which are necessary to perform the task have to be re-accomplished.     

Learning from living in space

The current state of space life sciences knowledge and research is described. Findings about the health of astronauts in space are reviewed and a plea is made by some former astronauts to increase the amount of research being conducted. Longitudinal studies of the long term effects of space travel, especially radiation exposure, are being conducted and have yet to show any ill effects. Current research focuses are discussed, including Neurolab, an upcoming shuttle mission devoted to neurological and vestibular research. Experiment and spacecraft hardware is discussed, as are future directions in research. Partnership with Russian space life sciences investigators is also underway.     

尖端具有非线性吸附接触的界面裂纹的动态特性研究

 研究一类尖端具有非线性吸附接触型裂纹模型的弹性波散射问题。利用积分变换和积分方程方法推导了确定这类问题基本变量的奇异积分方程组,采用围道积分技术和切比雪夫多项式展开技术得到了待定系数的非线性代数方程组。最后给出了裂纹尖端接触区的大小和接触应力的数值结果,揭示了这种接触型裂纹模型的动力学特征及物理上的合理性。     

地面涡研究

 The formation mechanism and the flow characteristics of the ground vortices as well as the method of eliminating ground vortices are studied in this paper. It is noted that, when air is sucked into an aircraft engine, on the ground a momentum moment is exerted on a point sink flow by a lateral wind or a reversed jet from the tail pipe, resulting in the formation of eddy stream known as ground vortices. Through an analysis of numerous experimental data it is found that the ground vortices are composed of two vortices instead of a single and concentrated free vortex.The tangitial velocity distribution curves of the ground vortex can be expressed as two independent functions: one is a directly proportional function located at the core, and the other is an inversely proportional function around the outer surrounding. The pressure distribution is also composed of two parabolic functions.In addition, a method of eliminating the ground vortices is presented, and it is of important engineering significance to eliminate the ground vortices.     

Finite-dimensional filters with nonlinear drift. V: solution to Kolmogorov equation arising from linear filtering with non-Gaussian initial condition

Despite its usefulness, the Kalman-Bucy filter is not perfect. One of its weaknesses is that it needs a Gaussian assumption on the initial data. Recently Yau and Yau introduced a new direct method to solve the estimation problem for linear filtering with non-Gaussian initial data. They factored the problem into two parts: (1) the on-line solution of a finite system of ordinary differential equations (ODEs), and (2) the off-line calculation of the Kolmogorov equation. Here we derive an explicit closed-form solution of the Kolmogorov equation. We also give some properties and conduct a numerical study of the solution.     

Phase Space Density Analysis of Energy Transport in the Earth’s Magnetotail

Two energetic events in the Earth’s magnetotail detected by Geotail are examined with detailed analysis of three-dimensional velocity phase space density. It is found that the occurrence of multiple ion components is high during these dynamic episodes. Different populations evolve independently of each other, suggesting particles from multiple activity sites contributing to the observed phase space density. The transport properties with consideration of multiple components are evaluated, with the result showing significant differences from those based on a single fluid approach. This comparison indicates that precise evaluation of the energy and magnetic flux transport of energetic events in the magnetotail requires resolving individual populations in the phase space density.     

扩压器内的冷凝对流场的影响

扩压器处于超临界工作状态时,由于喉道后面的激波与附面层的相互作用,使出口流场发生畸变.本文探讨了扩压器内发生的冷凝对畸交流场的影响.结果表明,在实验范围内,由于冷凝使畸变流场的平均紊流度增加12～25%,稳态畸变指数DC_(60)可能增加、不变或减小.可见在研究发动机与进气道的相容性时,冷凝是不可忽视的影响因素之一.