应用于射电天文的低噪声温度测量方法

噪声温度是接收机和低噪声放大器最重要的性能指标,是了解设备性能好坏的关键因素。随着电子技术的快速发展,接收机和低噪声放大器的噪声温度变得越来越低,准确而快速地测量接收机和低噪声放大器的噪声温度变得非常困难。介绍了6种在射电天文中经常使用的测量低噪声温度的方法,这些测量方法具有准确可靠、简单易行的优点。叙述了测量原理并给出了一些测量方法的测量结果,对影响测量噪声温度精度并且易被忽视的因素也做了详细讨论。     

Conditionally periodic solutions of the canonical systems of differential equations in non-autonomous resonant case

A formal method of constructing of conditionally periodic solutions of canonical systems of differential equations in the vicinity of a commemsurability of frequencies is proposed. The method is a union of the rapid convergence method and (well-known in celestial mechanics) Delaunay-Zeipel's method of canonical transformations. For a successful application of the method an existence of stationary resonant solutions of an averaged system of the differential equations is necessary.     

A method of computing the gravitational field of an axially symmetric flat galaxy

A method has been developed for computing the gravitational force field of an axially symmetric flat galaxy from its surface mass density. The method is simple to program, fast, and accurate. An inversion formula is derived that allows computation of surface density from rotation curves by use of any method that converts density to force. The method is compared with a method of Clutton-Brock that utilizes Hankel transforms of Laguerre functions.     

A method solving kepler's equation without transcendental function evaluations

We developed two approximations of the Newton-Raphson method. The one is a sort of discretization, namely to search an approximate solution on pre-specified grid points. The other is a Taylor series expansion. A combination of these was applied to solving Kepler's equation for the elliptic case. The resulting method requires no evaluation of transcendental functions. Numerical measurements showed that, in the case of Intel Pentium processor, the new method is three times as fast as the original Newton-Raphson method. Also it is more than 2.5 times as fast as Halley's method, Nijenhuis's method, and others.     

星表系统差及其计算方法

本文对星表系统差的性质进行了讨论，并分析和评估了目前常用的星表系统差计算方法的优、缺点，从而提出了一个新的星表系统差计算方法．同时也提出了星表系统差计算精度的检验标准．最后对用不同方法计算的系统差进行了分析比较．结果表明，新方法的系统差计算精度好于目前常用的解析方法．     

The X- Y-, and H-matrices for molecular scattering

A method is described to calculate theX-,Y-, andH-matrices for molecular scattering in a homogeneous plane-parallel atmosphere. This method is based on the method of discrete ordinates by Chandrasekhar. A sample of results in 7 decimals is given and the accuracy of the method presented is discussed.     

人卫观测中拖长星像的中心定位

提出应用于人造卫星观测中确定拖长星像中心的平均几何中心法 ,介绍了该方法的基本原理与实现步骤。将中值滤波应用于CCD数据的预处理并收到较好的效果。利用实际观测资料初步验证了平均几何中心法 ,结果表明 ,与通常采用的重心法相比 ,此方法对人卫观测中的拖长星像进行中心定位的精度较高。     

An Encke-type special perturbation method

In this paper, a combination analytical-numerical integration method for solving the differential equations of a modified set of Lagrange's planetary equations is described. The integration method is an Encke-type method because it involves integrating the deviations between the actual trajectory and a reference trajectory. The reference trajectory is obtained from an analytical solution containing the dominant secular and periodic effects of the gravitational field of the primary body. A set of nonsingular elements is used so that the method will be valid for all circular and elliptical motions. It is shown that the method is an accurate and efficient means of satellite ephemeris generation.This paper was presented at the AIAA/AAS Meeting, Princeton University, August 1969.     

A Robust Method of Preliminary Orbit Determination

The preliminary orbit determination with optical angular measure- ments plays an important role in the survey of space objects. The classical method of orbit computation based on the least square error estimation is not robust while outliers occur in the observation. A robust method is proposed by employing the least absolute deviation estimation. The method reduces the problem of orbit determination to a linear programming problem, and gives the variance of the estimation with the bootstrap method. Numerical check shows that the method is effective and robust, and has a high breakdown point.     

高精度时间间隔测量技术与方法

时间间隔测量技术,尤其是高精度的时间间隔测量技术意义重大。不论是电信通讯、芯片设计等工程实践,还是原子物理、天文观测实验等理论研究,以及激光测距、卫星定位等航天军事技术,都离不开高精度的时间间隔测量技术。经过几十年的研究,目前已经有多种测量方法。在阐明插值原理之后,依次介绍了直接计数法、扩展法、时间幅度转换法、游标法、抽头延迟线法和差分延迟线法等主要方法。然后对影响测量的几个因素,包括非线性和不定态作了讨论。针对这些不良影响,还探讨了一些提高精度和稳定度的方法,比如非线性校正、PLL(Phase Lock Loop)和DLL (Delay Lock Loop)技术。最后,对时间间隔测量技术的前景作了展望。     

基于有效点扩散函数的高精度测光

介绍了利用有效点扩散函数拟合方法得到CCD图像中恒星仪器星等的过程。对国家天文台1 m望远镜观测的16幅CCD图像进行实际测量,结果表明:亮星的内部测量平均精度为0.015 mag,最高精度可达0.001 5 mag,而暗星则达到0.043 mag。与Gauss拟合测光方法相比平均精度提高了3倍多,精度标准偏差是0.005,说明该测量方法比较稳定,是一种更优的测光方法。     

A numerical method to determine the electromagnetic field of the pulsar magnetosphere with inclined magnetic moment

A numerical method to determine the electromagnetic field of a steadily rotating magnetosphere with an inclined magnetic moment under a given boundary condition on an arbitrary shaped boundary surface is presented. The region may include the light cylinder. The present method, together with a companion method giving particle motion and creation, makes an iterative scheme to obtain a global model of the pulsar magnetosphere. A key problem for explaining the particle acceleration in pulsars is to solve field-aligned electric field in an accelerating region bounded by an ideal-MHD region. The present method is fit to connect a solution for the non-ideal-MHD region with another solution for the ideal-MHD region on a boundary surface whose location should also be solved (i.e., a floating boundary). The integration scheme is based on the boundary element method and it has great advantage as compared with other methods like the finite difference method and the Fourier transformation method.     

一种计算垂线偏差的抗差最小二乘严密解法

针对当前利用大地水准面模型求解垂线偏差精度不高、稳健性差的问题,设计了一种严密的垂线偏差抗差最小二乘解法.首先,基于大地水准面与垂线偏差的关系,采用EGM2008 (Earth Gravity Model 2008)重力场模型计算参数初始解;然后,引入中位数抗差法,并选用Huber权函数计算等价权,迭代计算出稳健的垂线偏差最小二乘解;最后,结合两个实测算例对设计方法进行验证.试验结果表明,该方法计算的垂线偏差分量与约定真值最大偏差在0.5′′左右,相较于对比方法精度更高;同时,该方法能有效抵抗粗差值的影响,具有较强的稳健性.     

Two-parameter Lie transforms

A method to construct Lie transforms is offered. The method is a direct generalization of Deprit's method. Full details of the theoretical problem are given only in the two-parameter case.     

A new method for the determination of an intermediate orbit using three positions of a small body on the celestial sphere

We propose a new method for the determination of the preliminary orbit of a small celestial body using three pairs of its angular coordinates in three moments of time. The method is based on the use of the intermediate orbit we constructed earlier using three position vectors and the corresponding time moments. This intermediate orbit accounts for the main part of the perturbations of the motion of the body under study. We compare the results obtained by the classical Lagrange-Gauss method, Herrick-Gibbs method, generalized Herrick-Gibbs method, and the new method by the examples of the determination of the orbit of the small planet 1566 Icarus. The comparison showed that the new method is a highly efficient tool for the study of perturbed motion. It is especially efficient when applied to high-precision observational data covering short arcs of the orbit.     

Sunspot number time series: Exponential fitting and solar behavior

A new method to determine the experimental north direction of a heliogram is suggested and a method of reduction for the measurements is given. The accuracy achievable by this method exceeds that generally used.     

An improved algorithm due to laguerre for the solution of Kepler's equation

A root-finding method due to Laguerre (1834–1886) is applied to the solution of the Kepler problem. The speed of convergence of this method is compared with that of Newton's method and several higher-order Newton methods for the problem formulated in both conventional and universal variables and for both elliptic and hyperbolic orbits. In many thousands of trials the Laguerre method never failed to converge to the correct solution, even from exceptionally poor starting approximations. The non-local robustness and speed of convergence of the Laguerre method should make it the preferred method for the solution of Kepler's equation.     

Exponentially-fitted and trigonometrically-fitted methods for long-term integration of orbital problems

An explicit symmetric six-step method is presented in this paper. The new method is exponentially-fitted and trigonometrically-fitted and is of algebraic order six. Numerical results from the application to well known periodic orbital problems show the efficiency of the new method.     

调相白噪声背景中高稳频率源参数估计

调相白噪声背景中高稳频率源参数的估计是一个应用广泛的信号处理问题 ,给出了利用平方拟合估计频率源参数的方法 ,它是最小平方误差意义下的估计 ,并根据模拟的数据对这种方法作了验证。     

Support Vector Machine combined with K-Nearest Neighbors for Solar Flare Forecasting

A method combining the support vector machine (SVM) the K-Nearest Neighbors (KNN), labelled the SVM-KNN method, is used to construct a solar flare forecasting model. Based on a proven relationship between SVM and KNN, the SVM-KNN method improves the SVM algorithm of classification by taking advantage of the KNN algorithm according to the distribution of test samples in a feature space. In our flare forecast study, sunspots and 10cm radio flux data observed during Solar Cycle 23 are taken as predictors, and whether an M class flare will occur for each active region within two days will be predicted. The SVM- KNN method is compared with the SVM and Neural networks-based method. The test results indicate that the rate of correct predictions from the SVM-KNN method is higher than that from the other two methods. This method shows promise as a practicable future forecasting model.