Periodic relative orbits of two spacecraft subject to differential gravity and electrostatic forcing

Coulomb forces between charged close-flying satellites can be used for formation control, and constant electric potentials enable static equilibria solutions. In this work, open-loop time-varying potential functions, which produce periodic, two-craft, Coulomb formation motions are demonstrated for the first time. This is done in the rotating Hill-Frame, with linearized gravity, and craft position components assumed in the form of simple harmonic oscillators. Substitution of the oscillatory functions into the dynamics, further constrains these functions, and yields necessary potential histories, to produce the periodic flow. The assumed position functions, however, are not arbitrary, since the dynamical model restricts what oscillatory trajectories are allowed. Specifically, a Hill-Frame integral of motion is derived, and this is used to show certain candidate periodic functions to be inadmissible. The system dynamics are then linearized to expose stability properties of the solutions, and it is established that asymptotic stability is impossible for all orbit families. Finally, the degree of instability in the assumed motions, over free parameter ranges, is determined numerically via the Floquet multipliers of the associated full-cycle state-transition matrices.     

Upper limit of the total magnetic flux in an active region according to the photometric-magnetic dynamical model

The photometric-magnetic dynamical model handles the evolution of an individual sunspot as an autonomous nonlinear, though integrable, dynamical system. One of its consequences is the prediction of an upper limit of the sunspot areas. This upper limit is analytically expressed by the model parameters, while its calculated value is verified by the observational data. In addition, an upper limit for the magnetic strength inside the sunspot is also predicted, and then, we obtain the following significant result: The upper limit of the total magnetic flux in an active region is found to be of about 7.23 × 10²³ Mx, namely, phenomenologically equal to the magnetic flux concentrated in the totality of the granules of the quiet Sun, having a typical maximum magnetic strength of about 12G. Therefore, the magnetic flux concentrated in an active region cannot exceed the magnetic flux concentrated in the photosphere as a whole.     

Dynamical evolution of high area-to-mass ratio debris released into GPS orbits

A large set of simulations, including all the relevant perturbations, was carried out to investigate the long-term dynamical evolution of fictitious high area-to-mass ratio (A/M) objects released, with a negligible velocity variation, in each of the six orbital planes used by Global Positioning System (GPS) satellites. As with similar objects discovered in near synchronous trajectories, long lifetime orbits, with mean motions of about 2 revolutions per day, were found possible for debris characterized by extremely high area-to-mass ratios. Often the lifetime exceeds 100 years up to A/M ∼ 45 m²/kg, decreasing rapidly to a few months above such a threshold. However, the details of the evolution, which are conditioned by the complex interplay of solar radiation pressure and geopotential plus luni-solar resonances, depend on the initial conditions. Different behaviors are thus possible. In any case, objects like those discovered in synchronous orbits, with A/M as high as 20–40 m²/kg, could also survive in this orbital regime, with semi-major axes close to the semi-synchronous values, with maximum eccentricities between 0.3 and 0.7, and with significant orbit pole precessions (faster and wider for increasing values of A/M), leading to inclinations between 30° and more than 90°.     

吸气式高超声速飞行器内外流同时测力试验

为研究吸气式高超声速飞行器新型测力试验技术的可行性,在马赫数Ma=6、高度H=27km模拟飞行环境下开展了风洞试验。以轴对称吸气式高超声速飞行器无舵翼简化构型为研究对象,通过合理的试验系统设计解决内外流解耦关键技术,采用两个环式六分量天平在同一车次上测量模型内外流气动力载荷。试验结果表明:内外流气动力天平测量数据和全模气动力数据准确反映了内外流解耦、内外流窜流、进气道起动/不起动以及溢流影响等物理现象;从物理上实现了内外流解耦;内流气动力对全机气动性能贡献大;内外流解耦、进气道起动时,气动力数据准确、重复性好;窜流产生的传力属于内力。试验证明,同时测力试验技术可行,为解决内外流气动数据源于不同试验所致的不确定性问题提供了有效手段。     

模拟中性大气边界层中污染物传输与扩散的动力相似讨论

文章从湍流雷诺数相等出发,推导出风洞中模拟中性大气边界层动力相似准则一充分发展的湍流中,运动相似的流动动力也相似。文章还讨论了模拟烟流抬升和扩散的相似准则,概述了国内外一些主要实验室应用的近似模拟技术。     

情报网络对生产／流通过程中的库存的影响

本文通过建立独立型、垂直型和综合型3种模型,从订货方式和服务水平两个侧面,分析、考察了在生产/流通系统中建立情报网络而对系统中的库存所产生的影响。并据此提出了“失连库存”的新概念,对其进行了定量的分析和评价。本文得到的结论不仅在多阶层库存理论的研究上是必不可少的,而且对我国发展管理信息系统等现代化管理技术都具有指导意义。     

直升机尾桨/尾梁耦合稳定性分析研究

单桨带尾桨直升机的尾旋翼设计成摆振柔软型后,带来了新的动力学问题:尾桨与尾梁耦合动不稳定性问题。本文简述了它与主旋翼/机体耦合动不稳定问题的差别,主要介绍了尾桨与尾梁耦合动不稳定性问题的分析方法,通过算例分析,为消除这种不稳定性,对一些关键设计参数提出了设计要求。     

现代对策论研究

对策论是研究斗争局势中冲突问题的数学理论,笔者长期以来在此领域进行了大量的研究探讨,本文概要介绍了主要工作。     

飞机急滚运动的解耦控制

研究了飞机急滚运动的控制问题,采用５自由度横纵向耦合模型,应用非线性解耦理论,设计了关于滚转、俯仰和侧滑角的解耦控制体。讨论了闭环系统的稳定性,给出了当系统某些固定动态不稳定时,使系统实现稳定解耦的一个方法。最后进行了仿真研究。     

飞机总能量控制系统的研究Ⅰ——原理分析与系统设计

飞机总能量控制是一种全新的综合飞行/推力控制技术,从控制飞机总能量的变化与分配出发,全面解决纵向飞行轨迹控制与速度控制之间的耦合问题;进而建立起一体化的综合飞行控制系统。用多变量系统解耦控制理论研究了这种控制系统,首先分析了总能量控制的基本思想,建立起包含飞机纵向姿态控制回路和发动机推力控制回路的飞机质点能量运动模型,然后利用输出反馈和V规范型前馈解耦策略,对此系统进行解耦分析,设计出能实现飞行轨迹与速度间解耦控制的总能量控制律,并确定出系统的设计条件;最后以波音(Boeing)707飞机为对象,进行了具体的系统设计。