分层源函数与日珥谱线自反变

日珥谱线自反变与源函数变化有关，本文利用分层源函数形式探讨了源函数变化形式与日珥谱线自反变的关系，结果发现，谱线发生自反变时，源函数只能向日珥内增加，理论上讲，中心源函数可以是边缘的〉１．０￣∞倍。     

分层源函数与日珥谱线自反变

日珥谱线自反变与源函数变化有关。本文利用分层源函数形式探讨了源函数变化形式与日珥谱线自反变的关系。结果发现，谱线发生自反变时，源函数只能向日珥内增加，理论上讲，中心源函数可以是边缘的＞１．０～∞倍。     

日珥发射线光谱分析的一种方法

本文提供了日珥发射线光谱分析的一种新方法。它允许源函数随光学深度变化,采用非线性最小二乘拟合,直接从观测轮廓同时确定线心光学厚度τ_0、Doppler宽度△λ_D和源函数变化因子α。 本文用这个方法给出了对文献[1]十个日珥早 Balmer 线的分析结果。这些结果表明,自反变H_α线源函数向日珥内增加,中心源函数是边缘的1.2～2.5倍;忽略源函数的这种变化,将使H_α线τ_0的确定明显偏大;日珥的自吸收减弱亦与源函数变化有关。 对日珥源函数变化的讨论,支持关于日珥辐射激发的主要机制是散射太阳入射辐射的论点。     

日珥谱线不对称性的研究 Ⅰ.视向速度对谱线轮廓的影响

本文主要从理论上用解析方法讨论日珥视向速度随深度变化对谱线轮廓对称性的影响,得到的结论具有普遍性。第二节的分析表明,日珥的谱线轮廓可表示为二项叠加,其中第一项与源函数无关,只依赖于速度场模型,源函数分布仅通过第二项对谱线轮廓产生影响。然后在源函数不随深度变化的假定下,讨论各种速度场模型的谱线轮廓是否对称。得到的结论为:(1)常源函数与常速度场结合的谱线轮廓为对称轮廓;(2)常源函数与线性对称速度场结合的谱线也是对称轮廓;(3)常源函数与线性非对称速度场结合的谱线轮廓为不对称轮廓。最后,用数值计算对理论分析结果进行了检验。     

日珥谱线不对称性的研究——Ⅱ.源函数对谱线轮廓的影响

作为文献[1]中工作的继续,本文用解析方法论证了日珥源函数随深度变化与各种速度场结合对谱线轮廓对称性的影响。得到的结论为:(1)常速度场与源函数随深度任意分布结合的谱线为对称轮廓;(2)源函数自日珥中心向前后边界线性对称增大与速度场为线性对称膨胀结合的谱线轮廓为不对称轮廓,且呈双峰结构,紫峰高于红峰;(3)源函数自日珥中心向前后边界线性增大与速度场为线性对称压缩结合的谱线轮廓是不对称的,且呈双峰结构,红峰高于紫峰;(4)源函数自日珥中心向前后边界对称减少与速度场为线性对称膨胀或线性对称压缩结合的谱线为非对称轮廓,原则上也会出现双峰结构,但可能不明显。最后,用数值计算对理论分析结果作了检验。 本文作为文[1]的继续,将用解析方法讨论源函数随深度变化对日珥谱线轮廓对称性的影响。首先讨论速度场为常数源函数随深度任意变化时谱线轮廓的对称性问题,然后讨论速度场自日珥中心对称膨胀或对称压缩与源函数自日珥中心向外边界对称增大或对称下降相结合的模型中,日珥谱线的对称性问题。     

多条太阳光球FeI线在磁场中形成及形成深度的综合分析(Ⅰ)

针对多通道滤光器太阳磁场望远镜的磁场观测定标及掌握(所采用的)谱线特征之需要,取VAL宁静太阳大气模型计算了7条Fel光球线的Stokes轮廓、形成深度、贡献函数分布,从而较为系统地对多条反常及正常Zeeman线的特征及性质作出了分析与总结,解释了在磁光效应影响下Stokes Q,U参量的形成深度曲线在近线心区域处出现陡峭峰值的原因。     

在太阳磁场大气中FeIλ 5324.19(?)谱线的形成深度

本文在用Unno-Beckers方程计算光球和黑子本影磁场内FeIλ5324.19谱线形成过程中,计算了该谱线Stokes参数随5000连续谱光学深度分布的贡献函数及形成深度随波长的变化。计算结果表明:磁光效应的存在给该线横向磁场定标参数Q、U的形成深度的确定带来一定的复杂性,对I和V的形成深度的确定没有明显的影响。结合北京天文台太阳磁场望远镜半宽0.15的双折射滤光器,确定所观测磁场信息的形成深度。当对日面中心观测,在滤光器调至线心时,I形成在光球层及黑子高度100公里左右,在偏离线心0.15时V分量形成高度亦如此,Q、U分量的情况较复杂。     

利用直接搜索法探讨环珥内源函数的深度变化

本文提出了一种利用光谱资料探讨源函数变化形式的方法;并结合直接搜索法,拟合计算了1984年2月18日太阳边缘环珥的对称谱线,探讨了谱线内源函数随光学深度变化的情况。     

用惩罚函数法拟合耀斑后环光谱

在光谱拟合分析过程中,由于谱线的不对称,目标函数呈现出较强的非线性;拟合参数增多,需要对拟合参数的定义域进行约束。本文利用完全线性化方法处理非线性目标函数,用惩罚函数法对拟合参数约束。并用这种方法,拟合计算了1984年2月18日环珥的一些不对称谱线。     

使用小波技术自动搜寻天体谱线

使用小波技术对包括恒星、近邻星系和ＡＧＮ等不同的天体光谱进行了自动处理．用小波滤波的方法将光谱中的连续谱与诸线分离;然后使用小波域隐含马尔可夫模型（ＨＭＭ）,对已去掉连续谱的光谱进行降噪,同时得到了噪声在每个光谱中的分布;在训练ＨＭＭ的过程中,使用改进的Ｔｙｉｎｇ方法增加训练数据以保证训练的可靠性;利用噪声分布确定出谱线信号的局部阈值,在已经降噪的光谱中找到吸收线和发射线;用高斯函数拟会出谱线的形状,标出线心的波长值,作为自动证认的基础．     

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.     

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.     

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.