A Study of Oscillations near a Resonance during the Descent of a Spacecraft in the Atmosphere

An analysis of the stability of the resonance motion of a spacecraft with a small asymmetry during its descent in the atmosphere is carried out. In the vicinity of the main resonance, the action–angle variables are introduced and an equation of the variation of action is composed. A conclusion related to the stability of the resonance motion is made from the investigation of this equation. Sufficient conditions of stability of the resonance motion of a spacecraft are obtained and represented in a form convenient for analysis.     

地月高能共振循环轨道的快速计算及最优选择

针对现有高能共振循环轨道计算方法存在计算量大、有可能改变轨道共振特性和不能构造共振比大于2.3的地月循环轨道等缺点,本文提出了一种地月圆型限制性三体问题下高能共振循环轨道的快速计算方法。首先根据轨道在月球附近的组成弧段对高能共振循环轨道进行分类;然后根据轨道类型构建二体开普勒椭圆轨道;再进一步计算圆型限制性三体问题下的地月高能共振循环轨道;最后根据能量、稳定性、时间周期、近地点高度和近月点高度对所计算出的地月高能共振循环轨道进行最优选择。仿真结果表明,本文所提出的方法简单有效,能够计算出共振比为5:2的地月高能共振循环轨道。     

Periodic motions of a nearly dynamically symmetric satellite in the neighborhood of hyperboloidal precession

The motion of a satellite close to a dynamically symmetric solid body in a Newtonian gravitational field over a circular orbit is studied. The system of differential equations describing the body’s motion is close to a system with cyclic coordinate. New classes of periodic motions are constructed in the neighborhood of a known partial solution to an unperturbed problem, hyperboloidal precession of a dynamically symmetric satellite. In the resonance case, when the ratio of one frequency of small oscillations of a reduced system with two degrees of freedom in the neighborhood of a stable equilibrium position to the frequency of cyclic coordinate variation is close to an integer number, there exist one or three families of periodic motions that are analytic in terms of fractional powers of a small parameter. A study of stability of these motions was performed with the help of KAM (Kolmogorov-Arnold-Moser) theoty. Faling the described resonance there exists a unique family of periodic motions that is analytic in terms of integer powers of a small parameter. The check-up of stability of these motrons was carried out. We distinguished the cases of parametric resonance, resonances of the third and fourth orders, and a non-resonant case. In the resonance cases our study relies on well-known results on stability of Hamiltonian systems during resonances [1]. In the non-resonant case we use the KAM theory [2].     

Parametric excitation of gyroscopic waves in Thomson-Delaney cells of the ocean of Jovian moon Europa

A possible mechanism (of parametric resonance type) of excitation of planetary gyroscopic waves in Thomson-Delaney cells of the ocean of Jovian moon Europa is considered. It is assumed that the basis of this mechanism is a variation of liquid depth in a cell caused by tidal oscillations under the action of gravitational perturbing influence of Galilean satellites of Jupiter. Such a model leads to a system of linear differential equations with periodic coefficients of the Hill’s type. Under some additional assumptions it changes over into a system of independent Mathieu equations. The regions of parametric resonance of this system are constructed.     

Theory of type III radio bursts in the interplanetary space. II. Study of instability of the electron beam-solar wind plasma system in a linear approximation

Frequency characteristics of disturbances of a one-dimensionally inhomogeneous electron beam-solar wind plasma system are studied in the geometrical optics approximation on the basis of the Maxwell equations closed by the material equation obtained earlier. The corresponding dispersion equation is derived and solved. It is found that resonance interaction of a wave with an electron beam can occur only at two spatial points. Perhaps, such a short-time (point-like) mechanism of the resonance clarifies one of the main problems of physics of electron beams generated by solar flares: their time of existence is much longer than the time following from the previous theoretical estimates of the beam energy loss rate due to radiation.     

不稳定燃烧抑制剂对RDX—CMDB浇注推进剂的影响

对五种物质组成的七种单一或复合不稳定燃烧抑制剂在ＲＤＸ－ＣＭＤＢ（黑索今－复合改性双基）浇注推进剂中应用了研究，发现其中白刚玉（Ａｌ２Ｏ３）和ＳｉＣ对不稳定燃烧的抑制效果较佳。其加入方式和加入量地共不稳定燃烧抑制作用有较大的影响。当白刚 粒度与推进剂中燃烧催化剂的粒度相当时，其粒度变化对剂燃烧性能的影响较明显。且与其在螺压、粒铸推进剂中规律相似，即粒度减小，推进剂燃速增大。     

Resonance Effects when Moving a Small Spacecraft around the Center of Mass in a Deployable Tether System

Cosmic Research - The resonance motions of a small spacecraft relative to the center of mass when deploying a tether system are analyzed. The tether system is deployed from a base spacecraft moving...     

Bifurcation Regime of a Synchronous Resonance in the Translational–Rotational Motion of Nonspherical Natural Satellites of Planets

Period-doubling bifurcations of the synchronous spin-orbit resonance in the motion of a nonspherical natural planetary satellite along the elliptic orbit are studied. The satellite spin axis is assumed to coincide with the axis of its largest principal moment of inertia and is perpendicular to the orbital plane. The period-doubling bifurcations take place when the value of satellite's dynamical asymmetry parameter falls in the parametric resonance domain. Theoretical dependences of the amplitude of the bifurcation oscillations of a satellite at the pericenter of its orbit upon the eccentricity and dynamical asymmetry parameter are investigated. Three different methods of calculating the amplitude of bifurcation oscillations are presented and compared. These theoretical estimates can be used to predict the opportunity to observe the bifurcation regime. The possibility of the occurrence of the bifurcation regime in the motion of natural planetary satellites is studied. It is concluded that the bifurcation regime is possible in the motion of Deimos, Epimetheus, Helen, Pandora, and Phobos. Phobos is the most probable candidate for finding the bifurcation regime of a synchronous rotation. The identification of such a regime would allow one to impose stringent constraints on the values of the inertial parameters of the satellite observed.     

Analytical solutions that interpret the evolution of dual-frequency space-based systems in the case of orbital Lindblad resonance,taking into account the Rayleigh dissipation: I

As a part of a planetary version of the three-body problem in the orbital dual-frequency first-order resonance, with allowance for the Rayleigh dissipation, analytical solutions are obtained, which interpret the dynamic evolution of the orbital elements of components of the system under consideration.     

Estimation of the Probability of Capture into a Resonance Mode of Motion for a Spacecraft during Its Descent in the Atmosphere

The estimation of the probability of capture into a resonance mode of motion is considered for a spacecraft with a small asymmetry during its entry into the atmosphere. It is assumed that the initial conditions of spacecraft motion are distributed uniformly in some sufficiently small domain. The problem is solved for the equations of spacecraft motion linear with respect to the angle of attack. An analytical estimate of the probability of the spacecraft capture into the resonance corresponding to an ascending branch of the velocity head is obtained. The emphasis in the analysis of the estimate is made on the effect of the spacecraft asymmetry type on the probability of capture. A comparison of the estimate with the results of numerical computation is carried out. A model problem concerning the construction of the domain of the spacecraft center of mass locations, most dangerous from the point of view of the realization of the stable resonant modes of motion, is solved.     

由转速判断涡轮盘行波谐振

为找出液体火箭发动机涡轮盘疲劳裂纹故障产生的原因,对包含燃气在冲击式涡轮腔内形成的旋转激励与盘行波模态耦合谐振在内的盘的各种可能的耦合谐振进行了分析研究。在其它耦合谐振的可能性被排除后,将前者作为研究重点,并给出发生此种行波谐振的危险耦合转速范围计算公式。对某发动机大量热试转速数据作了分析,给出判断此类耦合谐振的判断依据。     

The motion of a synchronous satellite in a system similar to the earth-moon system

The stationary motions of a synchronous axisymmetric satellite are studied in the field of attraction by the Earth and a third body whose parameters are close to those of the Moon. Equations of motion are written in canonical variables that take into account the resonance character of the problem. The plots characterizing the dependence of the rotation parameters of the satellite relative to the center of mass on the elements of satellite’s translational motion are presented. A picture is given that represents the initial configuration of the system for implementing stationary motions.     

应用圆盘工装谐振实现高量级随机振动

针对高量级随机振动试验提出了一种利用工装谐振原理在振动台上实现高量级振动的试验方法。首先在理论上分析振动台系统的圆盘工装的振动特性,利用谐振原理设计了结构响应放大装置,并在理论上分析了该装置的结构响应放大的可行性,最后应用该装置成功完成了伺服机构高量级步进随机振动试验,验证了其在高量级随机振动试验中的有效性。     

Long-term evolution of Galileo operational orbits by canonical perturbation theory

Galileo operational orbits are slightly affected by the 3 to 5 tesseral resonance, an effect that can be much more important in the case of disposal orbits. Proceeding by canonical perturbation theory we show that the part of the long-term Hamiltonian corresponding to the non-centralities of the Earth's gravitational potential can be replaced by an intermediary that shows the pendulum dynamics of the 3 to 5 tesseral resonance problem. Inclusion of lunisolar perturbations requires a semi-analytical integration, which is compared with the corresponding results from the well-established Draper Semi-analytical Satellite Theory.     

航天器共振轨道研究

建立航天器非开普勒运动理论是航天技术发展的必然。提出了一类非开普勒轨道——共振轨 道。共振是自然界的一种普遍现象,当发生共振时,很小的输入可以使系统的状态产生较大 变化。研究表明航天器在推力作用下的非开普勒运动在参数平面内可以视为一种受迫振 动,也会发生共振现象。因此,可以利用共振原理来研究航天器的运动,称这样一类非开普 勒轨道为共振轨道。首先通过合理地选择轨道描述参数、时间尺度和推力描述方式建立 航天器共振轨道的动力学模型。然后讨论航天器在推力作用下轨道运动的振动规律,并给出 共振轨道的概念及轨道方程。最后提出基于共振轨道的机动轨道设计方法。
     

超导核磁共振技术在航天员生命保障中的应用前景探究

长期空间飞行会对航天员的身心健康造成一定的不利影响,开展航天员生命保障的研究是非常必要的。核磁共振技术是疾病检查诊断的重要手段,同样在航天员生命保障医疗中将发挥重要的作用。文章结合国内外相关研究进展以及航天员选拔、训练和航天员医监医保的相关知识,探究了超导核磁共振技术在航天员生命保障中的应用前景。     

振动对安全发火机构性能影响的研究

通过对安全发火机构的随机振动响应分析得出，振动条件下产品出现的安全、工作状态转换失效等一系列故障与机构高频共振密切相关。为解决出现的问题，对产品内部结构设计进行了改进；并为机构增加了减振器，从而使机构上振动强度从标准水平的数倍降低到标准水平的40％以下，振动试验结果表明，机构高频共振问题得到解决，给机构功能带来致命影响的故障不再出现，其可靠性较原来水平有了很大提高。     

振动试验夹具共振频率设计要求研究

为了使振动试验夹具的频率设计要求更加符合工程实际,文章对传统设计要求进行了总结,根据随机振动理论研究了传统设计要求与试验实际情况的差异。研究表明传统设计要满足一阶固有频率最大化的要求,而该要求存在不足：一是建立试验系统动力学模型时未考虑试件的质量及刚度,二是未考虑夹具与振动台连接的边界条件,三是未考虑载荷激励方向与模态关系。针对这些不足,文章提出了夹具共振频率最大化设计要求。分别采用传统的一阶固有频率最大化设计要求和共振频率最大化设计要求对某导弹夹具进行了设计,对比研究结果表明采用共振频率最大化设计要求所设计的夹具共振频率更高、质量更小。     

Features of the radial diffusion of energetic electrons in the middle Jovian magnetosphere

In this paper, the radial diffusion of energetic electrons in the Jovian radiation belts is considered. It is noted that the influence of global resonance in the electron radiation belts on the ring current provides original electrical pulses in the middle magnetosphere. The values of the random transfer of energetic electrons across the magnetic shells, which are associated with electrical pulses, are determined. An expression for radial diffusion is obtained. The functional form and radial diffusion coefficient are compared with those known from Jovian magnetosphere experimental data.