大口径离轴非球面镜预应力环抛方法研究

提出了一种加工离轴非球面的预应力环抛方法,基于预应力加工方法的基本原理,利用环抛机来磨制离轴非球面.设计了一套专门的加载装置,将拼接镜面中具有不同离轴量的非球面子镜转化成曲率半径相同的球面子镜进行磨制,可以在同一台环抛机上进行抛光.利用这种方法,花费连续40 h的时间,磨制了一块按照中国30 m极大口径望远镜(CFGT)主镜参数比例缩小的离轴抛物面,顶点曲率半径21.6 m,离轴量3.6 m,离轴口径为330 mm,最大非球面度为16μm.试验表明该方法效率高,适用于批量加工,特别是极大口径天文望远镜拼接主镜的大批量非球面子镜研制.     

离轴扇形镜面非球面度的计算

我国天文学家提出了中国30m口径巨型望远镜(CFGT)建议。它的主镜是由17种不同类型的离轴非球面子镜呈圆环形排列拼接而成。考虑了这些子镜磨制过程中有关参数的计算方法，比较了不同的约束条件下的非球面度，给出了每一种非球面子镜在最佳约束条件下的最接近比较球面半径和最大非球面度，并绘制出了子镜镜面上每一点磨削量的三维图，可供将来子镜磨制作为参考。     

对参数形式的严格分析式表示的施米特改正镜非球面的光线追迹

作为光学元件,施米特校正板已不仅是施米特系统的元件,并已使用于其他天文光学系统中.本文作者曾在文献[1]中给出了若干种不同类型的施米特改正镜非球面曲线的参数形式的严格分析解.其中非球面朝向球面镜的施米特改正镜(校正板)可由其系统本身组成校正板非球面的检验光学系统.在光学设计中人们愿意使用解决了检验问题的非球面.针对由参数形式严格表达的这种非球面,本文详细推导了对它的光线追迹公式,并给出了便于安排计算的格式.在推导求解过程中在一定程度上运用了经验和技巧,简化了计算.     

环火卫星运动的坐标系附加摄动及相应坐标系的选择

与处理地球卫星相关问题类似,在研究和处理环火卫星(尤其是低轨卫星)的轨道问题时,宜采用火心历元平赤道坐标系,即火心天球坐标系,其xy坐标面和x轴方向就是相应的平赤道面和平春分点方向.与地球的岁差章动现象类似,在该坐标系中,火星赤道面在空间的摆动同样会引起坐标系附加摄动.采用类似对地球岁差章动的处理方法,在一定精度前提下,基于IAU2000火星定向模型,处理了火星赤道面摆动中的岁差效应,并在此基础上,研究岁差对环火卫星轨道的影响,给出了相应的火星非球形引力位的变化及其导致的卫星轨道的坐标系附加摄动解,其表达形式简单,引用方便.与高精度数值解的比对表明,该分析解能够满足通常的精度要求.因此,在处理环火卫星(即使是低轨卫星)轨道及其相关问题时,可以采用统一坐标系:火心天球坐标系.而不必像当初处理地球卫星那样,为了避免计算坐标系附加摄动而引进一种混合型赤道坐标系,即采用瞬时真赤道面和历元平春分点方向作为其xy坐标面和x轴方向.在统一坐标系的选择下,实际工作中就不会存在坐标系转换的麻烦.     

天文知识讲座(4)——天球坐标与行星的视运动

一、天球坐标系 天体在天球上的视位置,可以用天体在天球的球面坐标来表示,天文常用的球面坐标系有地平坐标系、赤道坐标系和黄道坐标系。 1.地平坐标系 地平坐杯系有两个参量:地平高度和方位角。观测者的头顶方向与天球相交点叫天顶点(Z)。从观测者脚底方向与天球的交点叫天底(Z′)。与天顶和天底连线     

大型光学望远镜扇形子镜支撑方法的探讨

基于对大型光学望远镜子镜的要求,比较六边形和扇形两种子镜的优缺点.用有限元法分析扇形子镜在自重下的变形,确定扇形子镜的支撑点数和排列方式.并具体分析了通过18点、24点、27点三种支撑点的排列方式,分别计算不同支撑点下的子镜变形.通过计算表明,27点的支撑方式可以满足子镜的镜面RMS小于10nm的技术要求,并讨论子镜的轴向和侧向支撑方案.计算了在轴向和侧向支撑的条件下,各子镜在水平,垂直以及45°三个极限位置的镜面RMS值.     

大型光学望远镜扇形子镜拼接设计及仿真分析

目前,国际上大型望远镜拼接镜面采用的拼接子镜几乎都是六边形而没有采用扇形。比较六边形子镜和扇形子镜各方面的优缺点,建立六边形和扇形子镜的有限元模型,均采用18点轴向支撑,优化支撑方式,计算各子镜在自重作用下,镜面在水平位置,倾斜45°和垂直位置时的变形参数RMS值。结果表明在面积和支撑点数目均相同的条件下,扇形子镜在理论上可以获得与六边形子镜近似的镜面RMS值,但是在实际应用中扇形子镜的支撑,镜面调控与六边形子镜相比将更加复杂困难。     

机架模型下指向误差数据的筛选与分析

对地平式望远镜机架模型拟合的指向误差数据进行分析,介绍了指向误差数据的获取方法.采用最小二乘法求解修正系数,结合方位轴和高度轴的位置拟合指向修正量.在显著性水平α=0.05下进行残差分析,剔除偏离过大的点以提高拟合精度.通过计算均方根误差、相关系数、F检验的P值验证了机架模型的有效性.结果说明增加测试数据后,未经残差检...     

轴准直器的参数测定

叙述了在保证观测高精度的要求下，配置轴准直器的必要性，介绍了轴准直器的测定原理和系统的众多参数，以及在对星过记录时刻修正值中剩下的几个必须测定的参数，并介绍了这些参数的测定方法和测定结果。     

1.2m地平式望远镜视场旋转角的理论计算

利用光线追迹法和矩阵光学的方法分析了1.2m天文望远镜折轴平面反射镜系统在望远镜的方位轴、高度轴转动时所引起的像方视场的旋转,分别用两种方法给出了一致的目标图像旋转与望远镜高度角、方位角之间变化的函数关系式,并将地平式装置引起的物方视场旋转在球面坐标系下的旋转量转换到平面直角坐标系中,最终得到整个望远镜系统的视场旋转量,为实时改正这些旋转量提供了理论依据.     

On the theory of the oblateness of the Sun

In this paper we first emphasize why it is important to know the successive zonal harmonics of the Sun's figure with high accuracy: mainly fundamental astrometry, helioseismology, planetary motions and relativistic effects. Then we briefly comment why the Sun appears oblate, going back to primitive definitions in order to underline some discrepancies in theories and to emphasize again the relevant hypotheses. We propose a new theoretical approach entirely based on an expansion in terms of Legendre's functions, including the differential rotation of the Sun at the surface. This permits linking the two first spherical harmonic coefficients (J ₂ and J ₄) with the geometric parameters that can be measured on the Sun (equatorial and polar radii). We emphasize the difficulties in inferring gravitational oblateness from visual measurements of the geometric oblateness, and more generally a dynamical flattening. Results are given for different observed rotational laws. It is shown that the surface oblateness is surely upper bounded by 11 milliarcsecond. As a consequence of the observed surface and sub-surface differential rotation laws, we deduce a measure of the two first gravitational harmonics, the quadrupole and the octopole moment of the Sun: J ₂=−(6.13±2.52)×10⁻⁷ if all observed data are taken into account, and respectively, J ₂=−(6.84±3.75)×10⁻⁷ if only sunspot data are considered, and J ₂=−(3.49±1.86)×10⁻⁷ in the case of helioseismic data alone. The value deduced from all available data for the octopole is: J ₄=(2.8±2.1)×10⁻¹². These values are compared to some others found in the literature. Supplementary material to this paper is available in electronic form at http://dx.doi.org/10.1023/A:1005238718479     

Accounting for the viscosity of the fluid core in the problem of the physical libration of the moon

A two-component theoretical model of the physical libration of the Moon in longitude is constructed with account taken of the viscosity of the core. In the new version, a hydrodynamic problem of motion of a fluid filling a solid rotating shell is solved. It is found that surfaces of equal angular velocity are spherical, and a velocity field of the fluid core of the Moon is described by elementary functions. A distribution of the internal pressure in the core is found. An angular momentum exchange between the fluid core and solid mantle is described by a third-order differential equation with a right-hand side. The roots of a characteristic equation are studied and the stability of rotation is proved. A libration angle as a function of time is found using the derived solution of the differential equation. Limiting cases of infinitely large and infinitely small viscosity are considered and an effect of lag of a libration phase from a phase of action of an external moment of forces is ascertained. This makes it possible to estimate the viscosity and sizes of the lunar fluid core from data of observations.     

Rotation of the elastic Earth: the role of the angular-velocity-dependence of the elasticity-caused perturbation

We calculate the so-called convective term, which shows up in the expression for the angular velocity of the elastic Earth, within the Andoyer formalism. The term emerges due to the fact that the elasticity-caused perturbation depends not only on the instantaneous orientation of the Earth but also on its instantaneous angular velocity. We demonstrate that this term makes a considerable contribution into the overall angular velocity. At the same time the convective term turns out to be automatically included into the correction to the nutation series due to the elasticity, if the series is defined by the perturbation of the figure axis (and not of the rotational axis) in accordance with the current IAU resolution. Hence it is not necessary to take the effect of the convective term into consideration in the perturbation of the elastic Earth as far as the nutation is related to the motion of the figure axis.     

Impact of the Quadrupole Moment of the Sun on the Dynamics of the Earth-Moon System

Range of values of the Sun's mass quadrupole moment of coefficient J₂ arising both from experimental and theoretical determinations enlarge across literature on two orders of magnitude, from around 10^-7 until to 10^-5. The accurate knowledge of the Moon's physical librations, for which the Lunar Laser Ranging data reach an outstanding precision level, prove to be appropriate to reduce the interval of J₂ values by giving an upper bound of J₂. A solar quadrupole moment as high as 1.1 10^-5 given either from the upper bounds of the error bars of the observations, or from the Roche's theory, is not compatible with the knowledge of the lunar librations accurately modeled and observed with the LLR experiment. The suitable values of J₂ have to be smaller than 3.0 10^-6. As a consequence, this upper bound of 3.0 10^-6 is accepted to study the impact of the Sun's quadrupole moment of mass on the dynamics of the Earth-Moon system. Such as effect (with J₂ = 5.5±1.3 × 10^-6) has been already tested in 1983 by Campbell & Moffat using analytical approximate equations, and thus for the orbits of Mercury, Venus, the Earth and Icarus. The approximate equations are no longer sufficient compared with present observational data and exact equations are required. As if to compute the effect on the lunar librations, we have used our BJV relativistic model of solar system integration including the spin-orbit coupled motion of the Moon. The model is solved by numerical integration. The BJV model stems from general relativity by using the DSX formalism for purposes of celestial mechanics when it is about to deal with a system of n extended, weakly self-gravitating, rotating and deformable bodies in mutual interactions. The resulting effects on the orbital elements of the Earth have been computed and plotted over 160 and 1600 years. The impact of the quadrupole moment of the Sun on the Earth's orbital motion is mainly characterized by variations of , , and . As a consequence, the Sun's quadrupole moment of mass could play a sensible role over long time periods of integration of solar system models. This revised version was published online in July 2006 with corrections to the Cover Date.     

On the role of the motion of the photospheric footpoints of the magnetic field lines

By means of a simple relation between the velocity v of the fluid particle and the velocity v_f of the photospheric footpoint of the magnetic field line v_z and B_z being respectively the components of v and the magnetic field B normal to the photospheric surface, it is shown formally that through the phtospheric surface the transport of all the quantities attributed to the magnetic field, such as the magnetic flux, the magnetic energy and the helicity, is independent of v_z, and v_f is the only kinematical quantity on which the transport depends. In addition, in the neighborhood of the neutral line the velocity v_l of the moving curve of constant B_z is found to be equal approximately to the component of v or v_f in the direction of v_l. Since v_l can be measured or extimated, so can the components of v and v_f near the neutral line.     

Determination of the temperature of the solar corona from the spectrum of the electron-scattering continuum

When the K-corona is formed by the scattering of photospheric radiation from free electrons, the Fraunhofer lines are greatly broadened by the thermal motions of the hot electrons. This paper discusses the possibility of measuring the coronal electron temperature from the residual depressions in the K-coronal spectrum. If the ratio of the intensities at 4100 Å and 3900 Å can be measured to an accuracy of ±1%, the coronal temperature can be inferred to an accuracy of ±0.2 MK. The temperature of a coronal inhomogeneity may also be measured by this method, provided the position angle is known.Now at Fraunhofer Institute, Freiburg, Germany.     

Calculation of the global system of the field-aligned currents on the dayside of the magnetosphere

Using the well-known equation for the normal component of the current which exist near the tangential discontinuity in the plasma in the case of the frozen-in magnetic field, and supposing that the current closes in the ionosphere in the auroral oval in the region 1, one calculates and compares with the data of observations the dependence of the density of the field-aligned current at the level of the ionosphere on the local time.     

On the systematic errors of the determinations of the absolute orientation of the meridian marks

The classical method of determination of the absolute azimuth (or Bessel's parameter n) can secure sufficiently precision for RA from observations of stars at high geographical latitudes during polar night only.