Influence of time variable geopotential models on precise orbits of altimetry satellites,global and regional mean sea level trends

During the last decade a significant progress has been reached in the investigation of the gravity field of the Earth. Besides static, also time variable geopotential models have been recently created. In this paper we investigate the impact of the recent time variable geopotential models on altimetry satellite orbits and such altimetry products based on these orbits, as global and regional mean sea level trends. We show that the modeling of time variable gravity improves the orbit solutions, at least for the GRACE period where time variable gravity is sufficiently accurately observed by this mission. Our analysis includes six geopotential models jointly developed by GFZ German Research Centre for Geosciences and Space Geodesy Research Group (CNES/GRGS) Toulouse: the stationary model EIGEN-GL04S, a stationary version of EIGEN-6S (EIGEN-6S_stat), a corrected version of EIGEN-6S and three enhanced versions of EIGEN-6S called EIGEN-6S2, EIGEN-6S2A and EIGEN-6S2B. By “stationary” we mean “containing periodic parameters such as annual and semi-annual variations, but no secular (drift) terms”. We computed precise orbits for the radar altimetry satellites ERS-1, ERS-2, TOPEX/Poseidon, and Envisat over 20 years between 1991 and 2011. The orbit, single-mission and multi-mission altimetry crossover analyses show that the time variable models EIGEN-6S_corrected, EIGEN-6S2 and its two precursors EIGEN-6S2A/B perform notably better than the stationary models for the GRACE period from 2003 onwards. Thus, using EIGEN-6S2 and EIGEN-6S2A/B we have got 3.6% smaller root mean square fits of satellite laser ranging observations for Envisat, as when using EIGEN-GL04S. However, for the pre-GRACE period 1991–2003, the stationary geopotential models EIGEN-GL04S and EIGEN-6S_stat as well as EIGEN-6S2 having no drift terms for degree 3–50 at this time interval perform superior compared to EIGEN-6S_correct and EIGEN-6S2A/B which contain drifts for this period. We found, that the time variable geopotential models have a low (0.1–0.2 mm/yr) impact on our results for the global mean sea level trend. However, we found strong East/West differences up to 3 mm/yr in the regional mean sea level trends when using orbits of all four satellites based on time variable and stationary geopotential models. We show that these differences are related to the relative drifts of the centers-of-origin between the orbit solutions based on the time variable and stationary geopotential models. From the results of our detailed study, we conclude that the final version of the time variable gravity field model EIGEN-6S2 performs best for the four satellites tested. This model provides the most reliable and mission-consistent sea level estimates for the whole time period from 1992 to 2010. This model is of maximum spherical harmonic degree and order 260 and contains time series for drifts as well as annual and semiannual variations of the spherical harmonic coefficients for degree 2–50.     

Assessing and minimizing collisions in satellite mega-constellations

We aim to provide satellite operators and researchers with an efficient means for evaluating and mitigating collision risk during the design process of mega-constellations. We first introduce a novel algorithm for conjunction prediction that relies on large-scale numerical simulations and uses a sequence of filters to greatly reduce its computational expense. We then use this brute-force algorithm to establish baselines of endogenous (intra-constellation), or self-induced, conjunction events for the FCC-reported designs of the OneWeb LEO and SpaceX Starlink mega-constellations. We demonstrate how these deterministic results can be used to validate more computationally efficient, stochastic techniques for close-encounter prediction by adopting a new probabilistic approach from Solar-System dynamics as a simple test case. Finally, we show how our methodology can be applied during the design phase of large constellations by investigating Minimum Space Occupancy (MiSO) orbits, a generalization of classical frozen orbits that holistically account for the perturbed-Keplerian dynamics of the Earth-satellite-Moon-Sun system. The results indicate that the adoption of MiSO orbital configurations of the proposed mega-constellations can significantly reduce the risk of endogenous collisions with nearly indistinguishable adjustments to the nominal orbital elements of the constellation satellites.     

On the stabilizing effect of Solar Radiation Pressure in the Earth-Moon system

Solar sails change the natural dynamics of systems: Trajectories that are driven by gravitational forces can be displaced and changed because of the effect of Solar Radiation Pressure (SRP). Moreover, if the lightness number of the sail is large enough, the instability of certain orbits can be diminished and even removed. In this paper we modify two models for the motion of a probe in the Earth-Moon system that include the effect of Sun’s gravity to take also into account the effect of SRP. These models, the Bicircular Problem (BCP) and the Quasi-Bicircular Problem (QBCP), are periodic perturbations of the Earth-Moon Restricted Three Body Problem (RTBP). The models are modified to consider the effect of the SRP upon a solar sail. We provide examples of periodic orbits that are stabilized (or made less unstable) due to the effect of SRP.     

氨—空气混合物高浓度气体吸收中的数据回归

本文论述了回归分析在数据处理中的应用，通过氨－空气混合物高浓度气体吸收中的数据处理这一实例，介绍如何将非线性问题转化为线性问题的处理过程，给出建立经验公式为检验所建公式可用性的方法。     

航空直流起动发电机起动过程分析

航空直流起动发电机驱动飞机发动机起动要经历多次换路,分析了每次换路的物理过程,建立了起动过程的动态模型和状态方程。利用该数学模型计算了航空直流起动发电机的起动过程,所计算的物理量包括电流、转速、转矩等。按计算结果画出了动态曲线,使用软件MATLAB编程实现计算。     

壁面湍流模型对湍流分离流动数值模拟的影响

本文用三种近壁湍流模型计算了二个二维的湍流分离流动：单包流动和多包流动。结果表明：二层模型和低Reynolds数模型具有类似的特性。它们基本上给出合理的分离流动结构。壁函数的方法由于对数律的假定基本上不适合于计算湍流的分离流动。     

舰载飞机的滑跳起飞过程及其数学描述

简要地阐述了舰载飞机滑跳起飞的过程，给出了描述滑跳起飞跑道斜坡段形状的实用工程计算公式，并逐一建立了舰载飞机滑跳起飞在每个起飞阶段的运动方程，特别是在斜坡两轮滑跑段的运动方程（数学模型）。这些数学模型有助于分析舰载飞机滑跳起飞的动态特性。     

江苏省农业生产结构优化决策系统的研究

按照系统适度开放、供需协调发展、充分利用现有和潜在资源的原则,对现状农业生产结构进行评估。采用定性与定量相结合和系统分析方法,建立数模优化方案,从中筛选出最佳方案和实现对策,促进“二高一优”农业生产结构的发展。     

跨音速压气机转子中三维湍流流场计算及涡系分析

从叶轮机械转动坐标系中的三维、可压、湍流、Ｒｅｙｎｏｌｄｓ平均Ｎ－Ｓ方程组出发,用Ｂａｌｄ－ｗｉｎ－Ｌｏｍａｘ湍流模式使方程组闭合;结合有限体积离散并采用隐式矢通量分裂技术;求解了西德宇航院（ＤＦＶＬＲ）的单级跨音速压气机转子内的三维湍流流场。计算结果可分辨出该转子内三维流场的细微结构、激波的空间曲面;得到马蹄涡、通道涡、尾迹涡和角涡的形态及其发展,流场的三维性非常明显。计算得到的壁面极限流线图可反映出压气机中分离流动的拓扑结构     

基于人工神经网络的多模型目标跟踪算法

针对在目标跟踪中单模型跟踪算法难以应对目标运动形式的变化,而多模型跟踪算法存在结构固定、跟踪精度被非匹配模型削弱且模型切换缓慢的矛盾,文章提出了一种基于人工神经网络的多模型目标跟踪算法。通过分析目标几种基本运动模式的轨迹特点,归纳出目标运动轨迹的特征向量。利用训练好的BP神经网络对滑窗里的轨迹段进行运动模型识别,按结果进行跟踪模型切换,达到使跟踪算法实时适应目标运动状态的目的。仿真结果证明了该算法的有效性,且与传统的多模型算法相比,具有结构更加简单、更强的灵活性和拓展性的特点。