Fractional Pfaff-Birkhoff Principle and Birkhoff′s Equations in Terms of Riesz Fractional Derivatives

The dynamical and physical behavior of a complex system can be more accurately described by using the fractional model.With the successful use of fractional calculus in many areas of science and engineering,it is necessary to extend the classical theories and methods of analytical mechanics to the fractional dynamic system.Birkhoffian mechanics is a natural generalization of Hamiltonian mechanics,and its core is the Pfaff-Birkhoff principle and Birkhoff′s equations.The study on the Birkhoffian mechanics is an important developmental direction of modern analytical mechanics.Here,the fractional Pfaff-Birkhoff variational problem is presented and studied.The definitions of fractional derivatives,the formulae for integration by parts and some other preliminaries are firstly given.Secondly,the fractional Pfaff-Birkhoff principle and the fractional Birkhoff′s equations in terms of RieszRiemann-Liouville fractional derivatives and Riesz-Caputo fractional derivatives are presented respectively.Finally,an example is given to illustrate the application of the results.     

机载天线RCS减缩及其布局设计

机载天线系统是飞机的强散射源之一,对飞机隐身性能有着重要的影响。本文针对国外第四代战斗机机载天线系统的设计与布局,研究了具有低散射特性的机载天线系统设计技术措施,讨论了其机理和效能。对机载天线系统进行雷达散射截面积(Radar cross section,RCS)减缩设计与布局,在保证系统性能的同时,有效降低其RCS。     

CAFUC视阈下对英语专业教学改革的微观研究

英语专业是中国民航飞行学院(CAFUC)唯一的文科类专业。英语专业的教学改革是一个长期持续的课题。从CAFUC视阈角度对英语专业教学改革做出微观研究,分析了CAFUC英语专业的优劣势并预测了今后的教学思路。     

Homologous flare–CME events and their metric type II radio burst association

Active region NOAA 11158 produced many flares during its disk passage. At least two of these flares can be considered as homologous: the C6.6 flare at 06:51 UT and C9.4 flare at 12:41 UT on February 14, 2011. Both flares occurred at the same location (eastern edge of the active region) and have a similar decay of the GOES soft X-ray light curve. The associated coronal mass ejections (CMEs) were slow (334 and 337 km/s) and of similar apparent widths (43° and 44°), but they had different radio signatures. The second event was associated with a metric type II burst while the first one was not. The COR1 coronagraphs on board the STEREO spacecraft clearly show that the second CME propagated into the preceding CME that occurred 50 min before. These observations suggest that CME–CME interaction might be a key process in exciting the type II radio emission by slow CMEs.     

脉压雷达旁瓣匿影工作模式与抗干扰性能分析

旁瓣匿影是脉冲压缩雷达中常用的抗干扰技术。首先基于旁瓣匿影的一般结构,构建了脉压前匿影与脉压后匿影两种工作模式。然后重点针对不同工作模式下的雷达抗干扰性能和检测性能进行了理论分析和仿真研究。结果表明,脉压前匿影比较适合对抗压制性脉冲干扰,而脉压后匿影则更适合对抗欺骗性脉冲干扰。     

美国海基激光武器的发展

跟踪研究了美国海基激光武器的发展动态,论述了其发展历程、基本构成、作战流程和发展现状,剖析了其关键技术的攻关进展情况,预测了其未来作战应用,并得出相应结论。     

Quasars and their emission lines as cosmological probes

Quasars are the most luminous sources in the Universe. They are currently observed out to redshift z≈7$z\approx 7$ when the Universe was less than one tenth of its present age. Since their discovery 50 years ago astronomers have dreamed of using them as standard candles. Unfortunately quasars cover a very large range (8 dex) of luminosity making them far from standard. We briefly review several methods that can potentially exploit quasars properties and allow us to obtain useful constraints on principal cosmological parameters. Using our 4D Eigenvector 1 formalism we have found a way to effectively isolate quasars radiating near the Eddington limit. If the Eddington ratio is known, under several assumptions it is possible to derive distance independent luminosities. We discuss the main statistical and systematic errors involved, and whether these “standard Eddington candles” can be actually used to constrain cosmological models.     

Dynamics and control of spacecraft hovering using the geomagnetic Lorentz force

To achieve hovering, a spacecraft thrusts continuously to induce an equilibrium state at a desired position. Due to the constraints on the quantity of propellant onboard, long-time hovering around low-Earth orbits (LEO) is hardly achievable using traditional chemical propulsion. The Lorentz force, acting on an electrostatically charged spacecraft as it moves through a planetary magnetic field, provides a new propellantless method for orbital maneuvers. This paper investigates the feasibility of using the induced Lorentz force as an auxiliary means of propulsion for spacecraft hovering. Assuming that the Earth’s magnetic field is a dipole that rotates with the Earth, a dynamical model that characterizes the relative motion of Lorentz spacecraft is derived to analyze the required open-loop control acceleration for hovering. Based on this dynamical model, we first present the hovering configurations that could achieve propellantless hovering and the corresponding required specific charge of a Lorentz spacecraft. For other configurations, optimal open-loop control laws that minimize the control energy consumption are designed. Likewise, the optimal trajectories of required specific charge and control acceleration are both presented. The effect of orbital inclination on the expenditure of control energy is also analyzed. Further, we also develop a closed-loop control approach for propellantless hovering. Numerical results prove the validity of proposed control methods for hovering and show that hovering around low-Earth orbits would be achievable if the required specific charge of a Lorentz spacecraft becomes feasible in the future. Typically, hovering radially several kilometers above a target in LEO requires specific charges on the order of 0.1 C/kg.     

捷联式天线稳定平台动力学建模与仿真分析

对于体积有限制的战术导弹应用,导引头天线伺服系统的体积受到严格限制,传统的速率陀螺稳定平台的应用受到挑战,为此提出采用捷联稳定方式来解决视线稳定问题.根据弹载捷联式天线平台的结构特点及稳定原理,应用坐标变换方法,完整地建立了两自由度捷联式天线平台的运动学与动力学模型.通过分析平台框架运动学耦合关系,表明捷联稳定方式与速率陀螺稳定方式的基本区别在于信息的获取和控制方式上,速率陀螺稳定方式是一种直接硬件稳定方法,而捷联稳定方式是一种软件补偿方法.在此基础上,对框架动力学耦合特性进行了数值仿真,结果表明:弹体对框架的耦合较强,需要进行弹体解耦,而框架之间的交叉耦合相对较弱,实际设计时可以忽略.所得结果为进一步研究捷联式天线稳定平台提供了理论基础,也为小型化导引头视线稳定平台系统的工程设计提供了一种解决方案.