The 3-D lattice theory of Flower Constellations

Flower Constellations (FCs) have been extensively studied for use in optimal constellation design. The Harmonic FCs (HFCs) subset, representing the symmetric configurations, have recently been reformulated into 2-D Lattice Flower Constellations (2D-LFCs), encompassing the complete set of HFCs. Elliptic orbits are generally avoided due to the deleterious effects of Earth’s oblateness on the constellation, but here we present a novel concept for avoiding this problem and enabling more effective global coverage utilizing elliptic orbits. This new 3D Lattice Flower Constellations (3D-LFCs) framework generalizes the 2D-LFCs, Walker constellations, elliptical Walker constellations, and many of Draim’s global coverage constellations. Previous studies have shown FCs can provide improved performance in global navigation over existing Global Navigation Satellite Systems (GNSS). We found a 3D-LFC design that improved the average positioning accuracy by 3.5 % while reducing launch $\varDelta v$ Δ v requirements when compared to the existing Galileo GNSS constellation.     

3-Dimensional Necklace Flower Constellations

A new approach in satellite constellation design is presented in this paper, taking as a base the 3D Lattice Flower Constellation Theory and introducing the necklace problem in its formulation. This creates a further generalization of the Flower Constellation Theory, increasing the possibilities of constellation distribution while maintaining the characteristic symmetries of the original theory in the design.     

二维CCD图象数据压缩

本文着重指出了在今后处理大面积CCD图象数据过程中,所将面临的数据存贮困难问题.本文提出了一种有效的不丢失天文信息的压缩CCD图象数据的方法,对银纬b=-60°的一个天区的试验表明,压缩后的图象数据仅为原图象数据的1/30左右,并且可以十分方便地进行图象再现及再处理。在压缩数据过程中,我们在剑桥APM底片扫描机参数化施密特照相底片的基础上,重新安排了CCD图象上天体的对应参数,并视天体的大小及形状,有效地提取保存了天体周围矩阵信息.     

The Homoclinic Tangle of A 1:2 Resonance in a 2-D Hamiltonian System

We study in great detail the geometry of the homoclinic tangle, with respect to the energy, corresponding to an unstable periodic orbit of type 1:2, on a surface of section representing a 2-D Hamiltonian system. The tangle consists of two resonance areas, in contrast with the tangles of type-l or -{l, m, k, x = 0} considered in previous studies, that consist of only one resonance area. We study the intersections of the inner and outer lobes of the same resonance area and of the two resonance areas. The intersections of the lobes follow certain rules. The detailed study of these rules allows us to derive quantitative relations about the number of intersections and to understand the complex behavior of the higher order lobes by studying the lower order lobes. We find 1st, 2nd, 3rd, etc. order intersections formed by lobes making 1, 2, 3, etc. turns around an island. After a sufficiently high order of iterations a lobe may intersect its image and thus produce a Poincaré recurrence. Numerical results for a wide interval of energies are presented. The number of intersections changes through tangencies. In any finite interval of the energy between two tangencies of 1st order, an infinite number of higher order tangencies occur and thus, according to the Newhouse theorem, there exist nearby islands of stability.     

2-D models of rapidly rotating stars

Recent observational advances in the fields of asteroseismology and interferometry, have put in evidence the need of physically realistic models of rapidly rotating stars. In rapidly rotating stars, the centrifugal force affects dramatically the structure of the star and makes it necessary to use 2-D methods that take fully into account the deformation of the star. We compute the structure of rapidly rotating stars using 2-D spectral methods. The advantage of spectral methods compared with finite difference methods is that they can achieve the same accuracy while reducing significantly the number of grid points, thus saving computing time. The models include core convection and realistic microphysics (tabulated equation of state and opacity).     

2-D hydrodynamical simulations of wind compressed disks

We present results of 2-D hydrodynamical simulations of a radiatively driven stellar wind from a rapidly rotating Be-star. These generally confirm predictions of the semi-analytic Wind-Compressed-Disk model recently proposed by Bjorkman and Cassinelli to explain the circumstellar disks inferred observationally to exist around such rapidly rotating stars. However, our numerical simulations are able to incorporate several important effects not accounted for in the simple model, including a dynamical treatment of the outward radiative driving and gas pressure, as well as a rotationally distorted, oblate stellar surface. This enables us to model quantitatively the compressed wind and shock that forms the equatorial disk. The simulation results thus do differ in several important details from the simple model, showing, for example, an inner diskinflow not possible in the heuristic approach of assuming a fixed outward velocity law. There is also no evidence for the predicted detachment of the disk that arises in the fixed outflow picture. The peak equatorward velocity in the dynamical models is furthermore about a factor of two smaller than the analytically predicted value of 50% the stellar equatorial rotation speed. As a result, the dynamical disks are somewhat weaker than predicted, with a wider opening angle, lower disk/pole density ratio, and smaller shock velocity jump (each by roughly the same factor of two).     

Artificial granules in 2-D solar models

Two-dimensional, hydrodynamic, time-dependent models of solar granulation have been used to determine characteristics of artificial granules. It is found that the evolution of granules which subsequently fragment, respectively disappear, is fundamentally different. Dissolution of artificial granules is the basic process (48%–58%) in 2-D models. The number of small-scale and short-lived granules increases continuously toward the smaller scales. The main contributor to the total area are the granules with sizes about 900–1000 km. The mean lifetime of artificial granules is estimated to be 6–11 min.     

基于iHCO通信卫星的CAPS星座优化研究

中国区域定位系统(Chinese Area Positioning System,CAPS)把寿命末期的地球静止轨道(Geostationary Earth Orbit,GEO)通信卫星推到比GEO轨道高约200 km的倾斜高圆轨道(inclined Highly Circular Orbit,iHCO),卫星相对地球向西漂移。利用该类卫星组建CAPS导航星座,可以实现全球范围内的导航通信覆盖。重点开展基于iHCO通信卫星的CAPS星座优化研究,结果表明:利用GEO通信卫星和iHCO通信卫星组成的星座可以实现较好的空间星座布局,可以满足一般导航用户的需要。     

传统星座的五帝座考证

中国传统星座中的紫微垣五帝内座和太微垣五帝座,都是古人为天上最高统治者天帝,在一年不同的五时处于不同方位处理政务而设的坐位。将五帝座作黄帝和四方之帝的坐位是"纬书"类的附会,与星座命名的本义相悖,由此造成不必要的混乱,一直延续至今,因此就有必要进行考证,给予澄清。     

Observations of line asymmetries with a 2-D diode array

From two-dimensional Reticon spectra obtained at the Gregory Coudé Telescope (Tenerife) two Fei lines were studied. It is shown that the resultant line bisectors could be separated according to their origination in granular-intergranular regions and that the resolved bisectors no longer had a C-shape form.Paper presented at the 11th European Regional Astronomical Meetings of the IAU on New Windows to the Universe, held 3–8 July, 1989 Tenerife, Canary Islands, Spain.     

THE MAGNETIC FIELD 2-D STRUCTURE OF COMET HALLEY

We discussed the 2 - D structure and the distribution of magnetic field in comet Halley. We further compared our 1 - D results of distribution along the Giotto encounter trajectory with magnetic field measurements experiment on Giott.     

2-D Code for Simulating a Hollow Gas Puff Z-Pinch

We compare the dynamics of plasma in a hollow gas puff Z-pinch device, obtained with Schlieren pictures, with the predictions of a 2-D MHD Lagrangian code. We show that agreement between the model and experiment require an axially variable line density and width of the injected gas.     

2-D Numerical Simulation of the Ambipolar Filamentation of Turbulent Magnetic Fields

Magnetic fields play an important role in astrophysics and they often dominate the behavior of magnetized media. We simulate the mechanism (Tagger et al., 1995) by which turbulence in a weakly ionized plasma, as it cascades to the ambipolar scale (where the neutrals are imperfectly coupled to the ions) leads to a filamentation of the magnetic flux tubes: the turbulent velocity of the neutrals is higher in the more ionized regions, because they are better coupled to the ions. This results in a non-linear ponderomotive (<v.∇ v>) force driving them out of the ionized regions, so that the initial ionization inhomogeneities are strongly amplified. This effect causes the ions and magnetic field to condense and separate from the neutrals, resulting in a filamentary structure. We present the first results of a 2-D, 2-fluid (ions and neutrals) simulation, where a magnetized, weakly ionized plasma is submitted to turbulence in the ambipolar frequency range. We discuss the efficiency of this mechanism, the filamentary structure it should produce, and its relevance to the astrophysical context. This revised version was published online in July 2006 with corrections to the Cover Date.     

The simulation of atmospheric ozone distribution with a 2-D model and validation against LIARS and TOMS data

A two-dimensional model of radiative, dynamical and photochemical processes in the atmosphere has been developed and used for the simulation of ozone distribution. The results of numerical simulations are compared with LIARS and TOMS measurements. The comparison shows that the overall agreement between simulated and LIARS stratospheric ozone data is within 5–15% for almost all of the stratosphere except for the high latitudes of the winter hemisphere. This kind of disagreement is a common problem for all 2-D models, which cannot resonably reproduce planetary and gravity wave breaking processes over high latitudes. Validation of the simulated total ozone against TOMS data also shows a good overall agreement. The the total ozone difference between the 2-D model results and TOMS measurements is within 5–10% in both Northern and Southern hemispheres during all seasons except 40°S-60°S from June to October. In this region, the difference between simulated and TOMS total ozone is 30%.     

2-D spectroscopy of polar-ring galaxies candidates. II. The peculiar galaxies NGC 2748 and UGC 4385

This article is devoted to the analysis of new observational data obtained on the 6-m telescope using multimode instrument SCORPIO for two peculiar galaxies NGC 2748 and UGC 4385. Using scanning Fabry-Perot interferometer (FPI) large-scale velocity fields of ionized gas in lines Hα and [N II] λ6584 Å for NGC 2748 and in line Hα for UGC 4385 and the maps of brightness distribution in continuum and in corresponding lines for both galaxies were constructed. Observational data obtained in the long-slit mode of spectroscopy gave information about the kinematics of stellar component. The analysis of the received materials for NGC 2748 have shown that this object is a disky galaxy with stellar shell which rotates around the major axis of main body. The origin of such shell is most likely connected with the capture and disruption of dwarf companion. The structure of ionized gas velocity field of UGC 4385 appeared to be very complex. The most regular part of the field which concerns the supposed ring is best represented by the model of circular rotation with expansion. In addition long-slit observations showed that the optical spectra of two bright in the infrared region condensations resemble the spectra of galaxies’ nuclei. A supposition was made that UGC 4385 is two galaxies in the stage of head-on collision.     

The theory of stellar winds

We present a brief overview of the theory of stellar winds with a strong emphasis on the radiation-driven outflows from massive stars. The resulting implications for the evolution and fate of massive stars are also discussed. Furthermore, we relate the effects of mass loss to the angular momentum evolution, which is particularly relevant for the production of long and soft gamma-ray bursts. Mass-loss rates are not only a function of the metallicity, but are also found to depend on temperature, particularly in the region of the bi-stability jump at 21 000 Kelvin. We highlight the role of the bi-stability jump for Luminous Blue Variable (LBV) stars, and discuss suggestions that LBVs might be direct progenitors of supernovae. We emphasize that radiation-driven wind studies rely heavily on the input opacity data and linelists, and that these are thus of fundamental importance to both the mass-loss predictions themselves, as well as to our overall understanding of the lives and deaths of massive stars.     

A 2-D model for the support of a polar-crown solar prominence

We present a 2-D potential-field model for the magnetic structure in the environment of a typical quiescent polar-crown prominence. The field is computed using the general method of Titov (1992) in which a curved current sheet, representing the prominence, is supported in equilibrium by upwardly directed Lorentz forces to balance the prominence weight. The mass density of the prominence sheet is computed in this solution using a simple force balance and observed values of the photospheric and prominence magnetic field. This calculation gives a mass density of the correct order of magnitude. The prominence sheet is surrounded by an inverse-polarity field configuration adjacent to a region of vertical, open polar field in agreement with observations.A perturbation analysis provides a method for studying the evolution of the current sheet as the parameters of the system are varied together with an examination of the splitting of an X-type neutral point into a current sheet.Program Systems Institute of the Russian Academy of Sciences, Pereslavl-Zalessky 152140, Russia.