人造卫星运动中平均根数的解法

本文对人造卫星一阶摄动理论中采用的平均根数的解法进行了讨论。对无奇点变量的平均根数-2的分析表明:采用步长为三小时的半分析、半数值方法是适宜的,理论上可以达到积分十天、误差不大于10~(-6)的精度要求。     

近地卫星轨道的联合摄动

本文提出一种有效的半分析方法,给出近地卫星轨道在地球形状摄动和大气阻力摄动同样显著情况下的一阶解,相应的计算公式并不复杂,而计算速度要比数值方法快。     

土卫八的木星摄动

采用半分析半数值法求出木星对土卫八摄动的长期解及长周期解，从而能对木星的摄动给出较准确的量级估计．     

摄动函数展开式的收敛性的改进——用线性变换展开平面三体问题的摄动函数

一.绪论所有的普遍摄动方法,都是以摄动函数展开作为基础.在古典天体力学中,勒维里叶等用平近点角作自变量来展开摄动函数;韩申和纽康等用偏近点角;格耳登等用真近点角.这些方法的根本缺点是收敛范围小,而且收敛得慢.用这三种方式展开的收敛范围,在萨莫依洛娃-雅洪托娃的论文中作了具体研究.特别是在被摄动行星     

双星系中两子星的自转对双星轨道变化的后牛顿效应

在以前研究的基础上继续研究了双星两子星的自转对轨道变化的后牛顿效应，给出自转对轨道产生的长期摄动效应和周期摄动效应。理论结果表明，两子星的自转对轨道半长轴、轨道偏心率、近星点角和平近点经度均产生周期摄动效应，但对前两个轨道根数不产生长期摄动效,人对后两个轨道根数产生长期摄动效应，并利用理论结果对6颗双星系：EK Cep、GT Cep、NY Cep、V448 Cyg和V451 Oph中两子星的自转对轨道产生周期和长期摄动效应做了数值计算，数值结果显示：对于两个质量较大快速自转的双星系，由此产生的后牛顿铲应是不能忽视的。     

双星多方模型的形状及其对同步子星轨道要素的摄动影响

研究了双星多方模型的形状对同步子星轨道要素的摄动影响，假定两子星在同一轨道面上运动，推出了主星对伴星的轨道要素的摄动量，理论结果表明，双星多方模型对轨道半长轴和偏心率只有周期项摄动，无长期摄动，但对近星点和历元平近点角除有周期摄动外还有长期摄动效应。文中将理论结果应用于同步双星βＰｅｒ（大陵五双星）的计算上，除计算了两个子星的形状（椭率）外对同步子星的轨道要素变化的周期项振幅和长期项的效应做了数值     

地球非球形引力位中田谐项摄动的有关问题

在人造卫星绕地球运动中,地球非球形引力摄动是最重要的讨论了容易被忽视的田谐项摄动,尽管它对低轨卫星的影响,只相当于J2项的二阶量,又是短周期效应,但它却包含了大10多倍的地球自转项,必须给以重视.还导出包含全部阶次田谐项的摄动解,并分离出地球自转项,对轨道半长径a还增加了(J2×Jlm)联合摄动的地球自转项,既为理论分析提供依据又可用于分析法定轨和预报.     

引力常数随时间变化对双星轨道演变的长期效应(椭圆轨道情形)

给出了以偏近点角为自变量的变引力常数的摄动方程组的解.解包括轨道半长轴的长期和周期变化项,其他轨道根数在一阶解中无长期项,只有周期项.近星点经度和平经度在二阶解中显示长期项变化.给出了由于引力常数变化对双星轨道演变情况的数值估计,对结果做了讨论并给出结论.     

双星多方模型的形状及其对同步子星轨道要素的摄动影响

研究了双星多方模型的形状对同步子星轨道要素的摄动影响。假定两子星在同一轨道面上运动，推出了主星对伴星的轨道要素的摄动量。理论结果表明：双星多方模型对轨道半长轴和偏心率只有周期项摄动，无长期摄动，但对近星点和历元平近点角除有周期摄动外还有长期摄动效应。文中将理论结果应用于同步双星βＰｅｒ（大陵五双星）的计算上。除计算了两个子星的形状（椭率）外对同步子星的轨道要素变化的周期项振幅和长期项的效应做了数值计算     

任意倾角的共轨运动研究

共轨运动天体与摄动天体的半长径相同,处于1:1平运动共振中.太阳系内多个行星的特洛伊天体即为处于蝌蚪形轨道的共轨运动天体,其中一些高轨道倾角特洛伊天体的轨道运动与来源仍未被完全理解.利用一个新发展的适用于处理1:1平运动共振的摄动函数展开方式,对三维空间中的共轨运动进行考察,计算不同初始轨道根数情况下共轨轨道的共振中心、共振宽度,分析轨道类型与初始轨道根数的关系.并将分析方法所得结果与数值方法的结果相互比较验证,得到了广阔初始轨道根数空间内共轨运动的全局图景.     

A New Method to Determine the Derivatives of the Laplace Coefficients

The determination of the secular variations of the orbital elements of objects in N-body systems is based on the literal development of the perturbing function. The development makes use of the Laplace coefficients and their derivatives. In this paper a new method is described for the analytical computation of the derivatives of the Laplace coefficients. It is an explicit formula in the sense that it only contains the Laplace coefficients and the parameter on which the Laplace coefficients depend. The advantage of this method is that it is unnecessary to calculate all the derivatives up to the desired order. It is enough to calculate the Laplace coefficients. Easy coding is a further benefit of the method and it provides more accurate numerical results. The paper describes in detail the application of the method through an example and gives comparison with former methods.This revised version was published online in October 2005 with corrections to the Cover Date.     

Auroral ion velocity distribution function: Generalized polynomial solution of Boltzmann's equation

The ion distribution function is calculated for the E and the F regions of the auroral latitudes. In these regions the plasma is weakly ionized and there exist convective electric fields which may attain very significant intensities. Boltzmann's equation is solved in the limit where the ion-neutral collision frequency is much lower than the ion gyrofrequency. This solution is obtained in the form of a generalized polynomial series expansion starting from a good zeroth-order approximation. With this weight function, and considering a development to the order of the 32 moments, good approximations are obtained for high electric fields. The resonant charge exchange model and the polarization model are successively considered. The Post-Rosenbluth instability threshold is discussed for the above two models.     

谱线形成深度的理论及其应用（Ⅱ）：响应函数的发展

作为系列文章的第二篇，给出了响应函数概念的发展概貌及关于其意义的讨论。这一概念从以单纯考察表面观测量如何随定一深度处物理量的扰动作出反应发展到由此考虑可得出谱线参量结构方面的信息。     

Bianchi type I cosmological perfect fluid model in scale invariant theory

The intention of this paper is to study the perfect fluid distribution in scale invariant theory of gravity when the space-time is described by Bianchi type I metric with a time dependent gauge function. The cosmological equations for this space-time with gauge function are solved and some physical properties of the model are discussed. This revised version was published online in July 2006 with corrections to the Cover Date.     

大气折射母函数方法、大气折射解析解和映射函数

回顾了作为实用天文学和大地测量学中基本研究课题之一的大气折射映射函数研究的进展。介绍了近几年上海天文台发展的大气折射母函数方法 ,以及由此导出的大气折射解析解。对如今广泛地应用在空间测量技术中的几种映射函数做出评述 ;分析了NMF模型的优点和不足之处。介绍了由大气折射母函数方法引出的大气延迟新连分式映射函数和天文大气折射的映射函数方法。利用VLBI实验中高度截止角与基线长度重复率的关系、探空气球 (radiosonde)观测资料、PRARE资料比较了各种映射函数的结果。特别指出了映射函数方法对天文大气折射和光学波段测距精度的改进。讨论了大气折射计算中的主要误差源。     

IDEAL CURRENT LAYERS AND KINK INSTABILITY IN LINE-TIED CORONAL LOOPS

The development of the kink instability in line-tied coronal loops is studied using a cylindrical MHD code. When the twist of magnetic field lines of the initial configuration exceeds a critical value, an ideal kink mode develops and drives this unstable equilibrium towards a secondary bifurcated equilibrium containing an electric current concentration. Contrary to a periodic untied configuration where a current sheet is ideally generated, the current layer is non-singular with a non-zero thickness and a finite amplitude. This current concentration extends along all the loop length and takes the form of an helical ribbon of intense current. The numerical results give an algebraic linear-like scaling of the characteristics of the current layer (amplitude and thickness) as a function of the aspect ratio of the loop. An interpretation in terms of axial field-line bending of the three-dimensional kinked equilibrium is proposed.     

CPLD技术及其在现代时统中的应用

对CPLD(复杂可编程逻辑器件)技术的基本特征和发展趋势作了简要介绍,揭示了该技术在现代数字系统中的重要地位及作用.利用CPLD对时统设备IRIG-B码产生器进行集成,其实验结果表明,集成了的B码产生器不但简单、可靠,而且便于调试,克服了以往硬件电路复杂的缺点.     

Solitary waves of vortices

We study the propagation of solitary waves of vortices within a spherical shell which constitutes the uppermost layer of a solid planet. This solid-liquid configuration rotates with constant angular velocity about an axis which is fixed with respect to the solid surface. The fluid within the shell is inviscid, incompressible, and of constant density. The motion imparted by the planetary rotation upon this fluid mass is governed by the Laplace tidal equation from which the potential of the extraplanetary forces has been deleted. Consistent with this ocean model, we establish that the stream function of a solitary wave of vortices must satisfy a third-order partial differential equation. We obtain solutions to this wave equation by imposing the condition that the vertical component of vorticity be functionally related to the stream function. We find that this dependence must necessarily be of the exponential type and that the solution to the wave equation then reduces to a quadrature depending on some arbitrary parameters. We prove that we can always choose the values of these parameters in order to approximate the integral in question by means of an analytic function: we reach a representation of the stream function of a solitary wave of vortices in terms of hyperbolic functions of time and position.This paper is dedicated to the memory of Professor Zdenek Kopal.     

The meteor radar response function: Theory and application to narrow beam MST radar

The meteor radar response function is an important tool for analyzing meteor backscatter observed by radar systems. We extend previous work on the development of the response function to include a non-uniform meteor ionization profile, provided by meteor ablation theory, in contrast to what has been assumed in the past. This has the advantage that the height distribution of meteors expected to be observed by a radar meteor system may be accurately modeled. Such modeling leads to meteor height distributions that have implications for the composition of those meteoroids ablating at high altitudes which may be observed by “non-traditional” meteor radars operating at MF/HF. The response function is then employed to investigate meteor backscatter observed by narrow beam MST radars which in recent years have been used increasingly to observe meteors.     

Spectral averaging of the point spread function for Yohkoh's SXT

The point spread function of the soft X-ray telescope (SXT) aboard the Yohkoh spacecraft is a Moffat function with elliptical characteristics. This function has two parameters, a and b, that are wavelength dependent in the X-ray region of interest. Since most SXT data analysis is performed with respect to plasma temperature rather than wavelength, it is useful to spectrally average these two parameters over wavelength with temperature as the free variable. The results of this spectral averaging are given here for users of SXT data.