宇宙弦与大尺度结构的形成

宇宙弦模型为解决宇宙大尺度结构的形成提供了一种新的途径。比之其他的模型,它有一系列优点,如统一地说明各种尺度上的相关函数,说明超星系团的存在,说明初始扰动与背景辐射均匀性之间的协调。本文系统地介绍了这些方面的进展。     

星系形成环境与宇宙中的空洞

本文讨论了初始扰动谱中大尺度负密度扰动对星系尺度扰动峰值的局域密度的影响，以及空洞演化中边界壳层非线性发展的作用。结果表明它们并不能解释空洞的形成。但考虑星系相互作用在可见星系形成中的关键作用，把星系群与星系团的存在作为形成的必要条件时，可以用负密度扰动对星系团和星系群的局域密度的调制，解释３０─６０Ｍｐｃ的空洞形成。对于更大尺度空洞的形成，则必须考虑对标准冷暗物质模型谱作出修正。     

星系形成环境与宇宙中的空洞

本讨论了寝扰动谱中大尺度负密度扰动对星系尺度扰动峰值的局域密度的影响，以及空洞演化中边界壳层非线性发展的作用，结果表明它们并不能解释空洞的形成，但考虑星系相互作用在可见星系形成中的关键作用，把星系群与星系的存在作为形成的必要条件时，可以用负密度扰动对星系团和星系群的局域密度的调制，解释３０－６０Ｍｐｃ的空洞形成，对于更大尺度空洞的形成，则必须考虑对标准冷暗物质模型谱作出修正。     

星系形成和冷暗物质模型——(Ⅰ)暗物质与初始扰动谱

本文力求给出近年来在星系形成理论研究中对了解从原初扰动起源到重子物质与暗物质分离过程所取得的各项重要进展的线索,并指示冷暗物质模型结合星系有偏袒形成的概念,可使关于宇宙不同尺度结构的大量观测事实得到合理的解释。第一部分介绍与扰动起源、谱形和增长等有关的问题,着重说明宇宙暴胀概念和非重子暗物质的存在所起的关键作用,指出不仅重子暗物质为主的,而且热的非重子暗物质为主的模型存在严重的困难。     

宇宙的大尺度结构

在宇宙的已观测的范围内,从尺度10~(10)cm直到10~(26)cm可视物质的分布是不均匀的。对星系三维分布的研究结果表明,绝大多数的星系集中在由星系的带、群和团组成的超星系团中;而在超星系团之间是几乎没有可视天体的巨洞。宇宙的大尺度结构(在尺度10Mpc—10~2Mpc上星系分布不均匀性的特征)似乎是网状的。对类星体红移分布的统计分析结果表明,在大尺度结构中可能有周期性分布的成分。周期尺度是10~2Mpc的数量级。 在另一方面,关于微波背景辐射的温度起伏的观测(δT/T 10~(-5),在角尺度10′—180°的范围)表明,宇宙中的物质在更大尺度(10~3Mpc)上的分布是均匀的。 大尺度结构是怎样从早期均匀的背景宇宙中增长起来的?这是在宇宙学中最重要也是最困难的问题上一;要解决这个问题需要有关于宇宙的完善的模型。目前所流行的、关于大尺度结构的理论,基本上是以膨胀宇宙论和密度扰动的理论为基础的理论。 在绝热密度扰动(假定初始扰动是绝热的)的方案中,有两种观念特别值得注意: 1,宇宙密度波的观念。在早期宇宙中的扰动有可能在氢复合前形成有物理意义的相干波列;这种波——“宇宙密度波”在氢复合之后有可能影响物质的分布。作为宇宙密度波的可观测遗迹,可以解释已观测的星系分布不均匀性的上限尺度,以及在类星     

星系大尺度本动速度

本文从高斯型的初始质量密度扰动出发,采用球对称演化模型计算了星系大尺度本动速度随尺度的分布。采用这样一种模型可以避免通常流体模型中线性增长以及窗函数的假设,对不同的宇宙物质主导成分的讨论表明,在各种情况下本动速度的期待值v_p在大尺度上的分布是随着尺度的增大而逐渐减小,这与流体模型以及宇宙弦模型下的趋势是一致的,但对所有参数的可能取值所作的计算表明,理论结果很难解释Dressler等人在r～60h~(-1)Mpc的尺度上观测到的大的本动速度,这很可能是由于在本星系群(LG)之外r 60h~(-1)Mpc的远处存在着一个大质量的物质凝聚区域。     

类Crab脉冲星的三维磁层外隙模型

利用三维脉冲星磁层模型研究了磁层外隙的几何结构,首先用自治模型确定“外隙”的垂直尺度,在该模型中外隙尺度受回流的外隙流（带有隙加速的带电粒子发射的曲率光子）加热极帽而产生的热光子的碰撞而成对生成所限,外隙的横向尺度也受本地对生成所限,在脉冲星的磁层中,原则上有两个拓扑分离的外隙,允许同时进入和流出粒子,不过,流入粒子流产生的辐射形态受隙了本地对生成和恒星附近的磁对生成的严格制约,根据外隙及其本地结构的三维模型计算了类Crab脉冲星的辐射和相位分解谱。     

微波背景辐射各向异性的计算中可能出现的偏差

复合期间物质与辐射密度的扰动会引起自由电子的不均匀空间分布,即电离率可能存在着某种与物质和辐射的涨落相对应的空间扰动。这就会使得通常对微波背景辐射各向异性的计算中存在偏差。对较大尺度的扰动(M(?)M_1)通常的计算值可能偏大,而对较小尺度的扰动(M<相似文献   

倾斜冷暗物质谱与宇宙中可观测结构

为了缓解标准冷暗物质模型在解释一些观测现象时所遇到的困难，本文考察了倾斜冷暗物质谱模型。在ＢＢＫＳ原初扰动场统计理论的基础上，本文根据天体质量函数的计算公式和背景－天体相互作用的估计方法，计算了星系群和星系团的质量函数，并与最新观测质量函数作了对比，又分析和计算了在各种空洞尺度上天体密度的变化。计算结果表明，倾斜冷暗物质谱模型在与ＣＯＢＥ卫星观测结果相容的前提下，能在上述两个方面缓解标准冷暗物质模型所遇到的困难。     

滞弹地球自转速率的潮汐变化

本文根据勒夫数和负荷载夫数的数值扰动原理，利用ｈａｎｄｌｅｒ摆动的理论周期作为滞弹吸收带模型参数估计的约束条件，讨论了地幔滞弹性对有效勒夫数ｋ的直接影响，以及滞弹地球对平均海潮的响应所产生的间接扰动，分析了它们对带谐潮尺度因子ｋ／Ｃ的影响，由此定义了一个具有动力学海潮、滞弹地幔和液核地球的世界时ＵＴ１潮汐变化序列，与天文新技术观测结果相比较表明，高频带谐潮变化的理论值与实测值是一致的。频散效应对低     

On the origin of the solar system and the exceptional position of the Sun in the Galaxy

The solar system's position in the Galaxy is an exclusive one, since the Sun is close to the corotation circle, which is the place where the angular velocity of the galactic differential rotation is equal to that of density waves displaying as spiral arms. Each galaxy contains only one corotation circle; therefore, it is an exceptional place. In the Galaxy, the deviation of the Sun from the corotation is very small — it is equal to ΔR/R _⊙≈0.03, where ΔR=R _c ?R _⊙,R _c is the corotation distance from the galactic center andR _⊙ is the Sun's distance from the galactic center. The special conditions of the Sun's position in the Galaxy explain the origin of the fundamental cosmogony timescalesT ₁≈4.6×10⁹ yr,T ₂?10⁸ yr,T ₃?10⁶ yr detected by the radioactive decay of various nuclides. The timescaleT ₁ (the solar system's ‘lifetime’) is the protosolar cloud lifetime in a space between the galactic spiral arms. The timescaleT ₂ is the presolar cloud lifetime in a spiral arm.T ₃ is a timescale of hydrodynamical processes of a cloud-wave interaction. The possibility of the natural explanation of the cosmogony timescales by the unified process (on condition that the Sun is near the state of corotation) can become an argument in favour of the fact that the nearness to the corotation is necessary for the formation of systems similar to the Solar system. If the special position of the Sun is not incidental, then the corotation circles of our Galaxy, as well as those of other galaxies, are just regions where situations similar to ours are likely to be found.     

Perturbations by the oblateness of the Earth and by the planets in the motion of the Moon

Perturbations in the motion of the Moon are computed for the effect by the oblateness of the Earth and for the indirect effect of planets. Based on Delaunay's analytical solution of the main problem, the computations are performed by a method of Fourier series operation. The effect of the oblateness of the Earth is obtained to the second order, partly adopting an analytical evaluation. Both in longitude and latitude are found a few terms whose coefficient differs from the current lunar ephemeris based on Brown's theory by about 0.01. While, concerning the indirect effect of planets, several periodic terms in the current ephemeris seem to have errors reaching 0.05.As for the secular variations of and due to the figure of the Earth and the indirect effect of planets, the newly-computed values agree within 1/cy with Brown's results reduced to the same values of the parameters. Further, the accelerations in the mean longitude, and caused by the secular changes in the eccentricity of the Earth's orbite and in the obliquity of the ecliptic are obtained. The comparison with Brown shows an agreement within 0.3/cy² for the former cause and 0.02/cy² for the latter. An error is found in the argument of the principal term for the perturbations due to the ecliptic motion in the current ephemeris.Proceedings of the Conference on Analytical Methods and Ephemerides: Theory and Observations of the Moon and Planets. Facultés universitaires Notre Dame de la Paix, Namur, Belgium, 28–31 July, 1980.     

On the model of the accumulation of the moon compatible with the data on the composition and the age of lunar rocks

It is suggested that the overall early melting of the lunar surface is not necessary for the explanation of facts and that the structure of highlands is more complicated than a solidified anorthositic ‘plot’. The early heating of the interior of the Moon up to 1000K is really needed for the subsequent thermal history with the maximum melting 3.5 × 10⁹ yr ago, to give the observed ages for mare basalts. This may be considered as an indication that the Moon during the accumulation retained a portion of its gravitational energy converted into heat, which may occur only at rapid processes. A rapid (t < 10³ yr) accretion of the Moon from the circumterrestrial swarm of small particles would give necessary temperature, but it is not compatible with the characteristic time 10⁸ yr of the replenishment of this swarm which is the same as the time-scale of the accumulation of the Earth. It is shown that there were conditions in the circumterrestial swarm for the formation at a first stage of a few large protomoons. Their number and position is evaluated from the simple formal laws of the growth of satellites in the vicinity of a planet. Such ‘systems’ of protomoons are compared with the observed multiple systems, and the conclusion is reached that there could have been not more than 2–3 large protomoons with the Earth. The tidal evolution of protomoon orbits was short not only for the present value of the tidal phase-lag but also for a considerably smaller value. The coalescence of protomoons into a single Moon had to occur before the formation of the observed relief on the Moon. If we accept the age 3.9 × 10⁹ yr for the excavation of the Imbrium basin and ascribe the latter to the impact of an Earth satellite, this collision had to be roughly at 30R, whereR is the radius of the Earth, because the Moon at that time had to be somewhere at this distance. Therefore, the protomoons had to be orbiting inside 20–25R, and their coalescence had to occur more than 4.0x10⁹ yr ago. The energy release at coalescence is equivalent to several hundred degrees and even 1000 K. The process is very rapid (of the order of one hour). Therefore, the model is valid for the initial conditions of the Moon.     

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.     

On some problems concerning the calculation of the form of the magnetopause and the electric field on the magnetopause in the framework of the continuum medium model

In order to understand the reason of the existence of the electric field in the magnetosphere, and for the theoretical evaluation of its value, it is necessary to find the solution of the problem of determination of the magnetosphere boundary form in the frameworks of the continuum medium model which takes into account part of the magnetospheric plasma movement in supporting the magnetospheric boundary equilibrium. A number of problems for finding the distribution of the pressure, the density, the magnetic field and the electric field on the particular tangential discontinuity is considered in the case when the form of discontinuity is set (the direct problem) and a number of problems for finding the form of the discontinuity and the distribution of the above-mentioned physical quantities on the discontinuity is considered when the law of the change of the external pressure along the boundary is set (for example, with the help of the approximate Newton equation). The problem which is considered here, which deals with the calculation of the boundary form and with the calculation of the distribution of the corresponding physical quantities on the discontinuity of the 1st kind for the compressible fluid with the magnetic field with field lines which are perpendicular to the plane of the flow in question, concerns the last sort of problems. The comparison of the results of the calculation with the data in the equatorial cross-section of the magnetosphere demonstrates that the calculated form of the boundary, the value of the velocity of the return flow and the value of the electric field on the magnetopause, agree satisfactorily with the observational data.