求解一维非线性守恒律的一类MmB差分格式

本文构造了一维非线性双曲型守恒方程的一类ＭｍＢ差分格式,并推广到方程组情形。数值计算结果表明,格式具有高分辨率且不会产生数值为振荡。     

利用航天器分舱段振动试验数据获取整器响应的方法

未来大型组合体航天器振动试验可能难以在现有设备上进行,需要进行分舱考核。文章针对此问题开展了利用分舱段振动试验获取整器响应的方法研究。提出的方法为:根据不同界面下模态的映射关系,利用单舱段的振动试验数据辨识出舱段的两端固支模态;采用模态综合技术计算出整器组合体模态参数,拟合出结构的加速度响应传递函数;结合整器的加速度试验条件可以给出整器的试验响应曲线。仿真验证结果表明该方法合理可行,具有工程应用价值。     

一种验证科氏加速度存在的实验装置及其动力学分析

科氏加速度是理论力学中公认的教学重点和难点,如何将科氏加速度形象地展示出来一直是学者与高校老师追求的目标。针对这一知识点,结合地球仪的外形,巧妙地实现了小球在科氏地球仪上旋转运动和直线运动的完美结合。根据科氏加速度理论,设计转速可调的旋转平台,在平台上设置能实现不同速度的直线运动装置,小球在旋转平台上作直线运动,从而受到科氏力的作用。初始状态时,安装在运动装置内的钢球处于平衡状态;工作时,由于科氏力的作用,钢球压迫弹簧,弹簧发生变形,利用滑轮、引线和位移补偿丝杆组成的传递机构,将弹簧变形量传递到显示装置,从而显示科氏加速度的存在。与现有科氏加速度验证实验装置所不同的是,此装置结构新颖,能吸引学生深入理解和掌握科氏加速度的概念。     

RELATIONSHIPS FOR MOTION DESCRIBED IN ANY TWO ROTATIONAL REFERENCE FRAMES

In this paper the definitions of the relative derivatives of a vector with respect to time in any reference frame by using the notation of vectrix are proposed. It is further shown that with the help of vectrix one can treat the relative derivatives more clearly and more rigorously when multiple reference frames are concerned. Very useful relationships between the first order relative derivatives described in any two reference frames are derived. Relationships for the second order relative derivatives are also presented in detail. A new concept called "rotation induced acceleration" which is caused by the rotation of two reference frames when motion is necessarily described in them is presented. The result obtained in this paper is the generalization of the acceleration theorem given in conventional theoretical mechanics.     

Cosmic ray acceleration by supernova shocks

We analyse the results of recent measurements of nonthermal emission from individual supernova remnants (SNRs) and their correspondence to the nonlinear kinetic theory of cosmic ray (CR) acceleration in SNRs. It is shown that the theory fits these data in a satisfactory way and provides the strong evidences for the efficient CR production in SNRs accompanied by significant magnetic field amplification. Magnetic field amplification leads to considerable increase of CR maximum energy so that the spectrum of CRs accelerated in SNRs is consistent with the requirements for the formation of Galactic CR spectrum up to the energy ∼10¹⁷ eV.     

基于离心加速度信息的单站无源测距定位方法

针对只测向（B0）方法具有收敛速度慢、定位误差大等缺点，提出了一种利用角度及其变化率、离心加速度等信息进行单站无源测距定位的新方法。对该方法的单次测距误差进行了分析，经多次测量定位计算机仿真结果表明，该方法比只测角定位方法、角度及其变化率定位方法具有更高的定位精度和更快的收敛速度，并且具有更广的应用范围。     

The role of radial perpendicular diffusion and latitude dependent acceleration along the solar wind termination shock

A numerical model, based on Parker’s transport equation, describing the modulation of anomalous cosmic rays and containing diffusive shock acceleration is applied. The role of radial perpendicular diffusion at the solar wind termination shock, and as the dominant diffusion coefficient in the outer heliosphere, is studied, in particular the role it plays in the effectiveness of the acceleration of anomalous protons and helium when its latitude dependence is changed. It is found that the latitudinal enhancement of radial perpendicular diffusion towards the heliospheric poles and along the termination shock has a prominent effect on the acceleration of these particles. It results in a ‘break’ in the energy spectrum for anomalous protons at ∼6.0 MeV, causing the spectral index to change from E^−1.38 to E^−2.23, but for anomalous helium at ∼3.0 MeV, changing the spectral index from E^−1.38 to E^−2.30. When approaching the simulated TS, the changes in the modulated spectra as they unfold to a ‘steady’ power law shape at energies below 50 MeV are much less prominent as a function of radial distances when radial perpendicular diffusion is increased with heliolatitude.     

Distribution and variability of accelerated electrons at Mars

We investigate accelerated electrons observed by Mars Global Surveyor (MGS), using data from the Electron Reflectometer (ER) instrument. We find three different types of accelerated electron events. Current sheet events occur over regions with weak or no crustal fields, have the highest electron energy fluxes, and are likely located on draped magnetotail fields. Extended events occur over regions with moderate crustal magnetic fields, and are most often observed on closed magnetic field lines. Localized events have the lowest energy fluxes, occur in strong magnetic cusp regions, and are the most likely kind of event to be found on open magnetic field lines. Some localized events have clear signatures of field-aligned currents; these events have much higher electron fluxes, and are preferentially observed on radially oriented open magnetic field lines. Electron acceleration events, especially localized events, are similar in many ways to events observed in the terrestrial auroral zone. However, physical processes related to those found in the terrestrial cusp and/or plasmasheet could also be responsible for accelerating electrons at Mars.     

The Role of Magnetic Reconnection in CME Acceleration

Observations carried out from the coronagraphs on board space missions (LASCO/SOHO, Solar Maximum and Skylab) and ground-based facilities (HAO/Mauna Loa Observatory) show that coronal mass ejections (CMEs) can be classified into two classes based on their kinematics evolution. These two classes of CMEs are so-called fast and slow CMEs. The fast CME starts with a high initial speed that remains more or less constant; it is also called the constant-speed CME. On the other hand, the slow CME starts with a low initial speed, but shows a gradual acceleration; it is also called the accelerated and slow CME. Low and Zhang [Astrophys. J. 564, L53–L56, 2002] suggested that these two classes of CMEs could be a result of a difference in the initial topology of the magnetic fields associated with the underlying quiescent prominences. A normal prominence magnetic field topology will lead to a fast CME, while an inverse quiescent prominence results in a slow CME, because of the nature of the magnetic reconnection processes. In a recent study given by Wu et al. [Solar Phys. 225, 157–175, 2004], it was shown that an inverse quiescent prominence magnetic topology also could produce a fast CME. In this study, we perform a numerical MHD simulation for CMEs occurring in both normal and inverse quiescent prominence magnetic topology. This study demonstrates three major physical processes responsible for destabilization of these two types of prominence magnetic field topologies that can launch CMEs. These three initiation processes are identical to those used by Wu et al. [Solar Phys. 225, 157–175, 2004]. The simulations show that both fast and slow CMEs can be initiated from these two different types of magnetic topologies. However, the normal quiescent prominence magnetic topology does show the possibility for launching a reconnection island (or secondary O-line) that might be thought of as a “CME’’.     

基于摄动理论的爆高确定方法研究

分别讨论了两种通过飞行时间确定爆高的方法:解析计算修正法和时间偏导数法,这两种方法都是通过计算延迟时间来确定爆高,具有自主性强、可靠性高的特点。计算了两种方法在不同干扰条件下的结果,分析了造成计算偏差的原因。计算结果表明,两种方法的计算误差都非常小,均可应用于弹道导弹爆高确定。