Gravity Field Recovery from GRACE: Unique Aspects of the High Precision Inter-Satellite Data and Analysis Methods

The very high accuracy of the Doppler and range measurements between the two low-flying and co-orbiting spacecraft of the GRACE mission, which will be at the μm/sec and ≈10 μm levels respectively, requires that special procedures be applied in the processing of these data. Parts of the existing orbit determination and gravity field parameters retrieval methods and software must be modified in order to fully benefit from the capabilities of this mission. This is being done in the following areas: (i) numerical integration of the equations of motion (summed form, accuracy of the predictor-corrector loop, Encke's formulation): (ii) special inter-satellite dynamical parameterization for very short arcs; (iii) accurate solution of large least-squares problems (normal equations vs. orthogonal decomposition of observation equations); (iv) handling the observation equations with high accuracy. Theoretical concepts and first tests of some of the newly implemented algorithms are presented. This revised version was published online in August 2006 with corrections to the Cover Date.     

基于最少可用飞机数的航班编组计划

研究了航空公司在运力紧张状况下的航班编组计划问题.首先根据单枢纽航线结构的特点,将航班编组计划问题转化为在枢纽机场的航班节编组问题,然后通过构造描述航班节间衔接关系的传递图,并利用传递图与其对应无向偶图的关系,将需用飞机数最少的航班节编组计划问题转化为求对应无向偶图的最小权最大匹配,从而构造出一个解决运力紧张状况下航班编组计划的多项式算法.最后通过一个算例说明了该算法的应用.     

An efficient and globally optimal solution to perspective-n-line problem

This research develops an accurate and efficient method for the Perspective-n-Line(Pn L)problem. The developed method addresses and solves Pn L via exploiting the problem’s geometry in a non-linear least squares fashion. Specifically, by representing the rotation matrix with a novel quaternion parameterization, the Pn L problem is first decomposed into four independent subproblems. Then, each subproblem is reformulated as an unconstrained minimization problem, in which the Kronecker product is a...     

我国高校教学质量保证体系存在的问题及完善的对策

教学质量保证体系是高校运行的中心环节,也是形成高校核心竞争力的根本措施。我国高等教育已经进入大众化阶段,开始由教育大国向教育强国迈进。在这个过程中,我们将面临一系列的机遇和挑战,为了实现我国高等教育长久、持续、平稳发展,必须及时解决教学质量保证体系中存在的问题,促进教学质量保证体系的健康发展。     

平面热应力问题的组合杂交有限元方法

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PC硬件中的2000年问题及解决方案

阐述了ＰＣ机定时系统的工作原理,对ＰＣ机硬件中２０００年问题进行了研究,针对ＰＣ机硬件中２０００年问题的特点提出了可行的测试和解决方法,介绍了一个通用的测试ＰＣ机硬件中２０００问题的工具：ＹＭＡＲＫ２０００。     

改进型Gappy POD翼型反设计方法

 为了提高基本Gappy本征正交分解(POD)翼型反设计方法的精度,在原始方法快照采样过程中,调整参数化方法,并用已产生翼型中压力分布最接近目标压力分布的翼型替换基础扰动翼型,形成最优快照替换采样法。在迭代求解阶段,根据迭代产生的压力分布与迭代产生的翼型实际压力分布之间的误差,引入校正快照,并据此调整目标压力分布,形成校正迭代法。实际算例表明,最优快照替换采样法所采集快照张成的空间较原始采样法更接近设计目标。而校正迭代法较原始迭代法能明显提高反设计精度。但最佳模态数量的选择对于Gappy POD翼型反设计方法仍然是一个难点。     

Close relative motion on distant retrograde orbits

Distant Retrograde Orbits (DROs) in the Earth-Moon system have great potential to support varieties of missions due to the favorable stability and orbital positions. Thus, the close relative motion on DROs should be analyzed to design formations to assist or extend the DRO missions. However, as the reference DROs are obtained through numerical methods, the close relative motions on DROs are non-analytical, which severely limits the design of relative trajectories. In this paper, a novel approach is proposed to construct the analytical solution of bounded close relative motion on DROs. The linear dynamics of relative motion on DRO is established at first. The preliminary forms of the general solutions are obtained based on the Floquet theory. And the general solutions are classified as different modes depending on their periodic components. A new parameterization is applied to each mode, which allows us to explore the geometries of quasi-periodic modes in detail. In each mode, the solutions are integrated as a uniform expression and their periodic components are expanded as truncated Fourier series. In this way, the analytical bounded relative motion on DRO is obtained. Based on the analytical expression, the characteristics of different modes are comprehensively analyzed. The natural periodic mode is always located on the single side of the target spacecraft on DRO and is appropriate to be the parking orbits of the rendezvous and docking. On the basis of quasi-periodic modes, quasi-elliptical fly-around relative trajectories are designed with the assistance of only two impulses per period. The fly-around formation can support observations to targets on DRO from multiple viewing angles. And the fly-around formation is validated in a more practical ephemeris model.     

一类微分方程正解存在唯一性的研究

对微分方程正解的存在性的探讨已经很丰富,但当微分方程是超线性时,证明正解唯一的讨论并不多,为此讨论了一类自治渐近(超)线性微分方程的正解存在唯一性问题.给出了一个正解存在唯一的充分条件。     

无线传感器网中的加权距离节点选择法

节点选择存在于无线传感器网的目标跟踪问题中,主要任务是从多个传感器中选取合适节点跟踪当前目标,满足跟踪精度、算法计算量的要求.提出一种适用于测角传感器节点的加权距离选择法,该算法利用目标状态预测的分布及节点的探测模型,通过计算节点距目标几何距离及加权系数,选择具有最小加权距离的传感器点进行探测,避开了贝叶斯滤波,在减少计算量的同时具有很好的选择精度.仿真结果表明,本算法大幅度减少了计算量,同时可达到和熵值法相当的跟踪定位效果.