基于多种观测资料的双星轨道拟合研究

双星轨道拟合研究的主要目标是给出双星系统完整的运动学参数,包括质心运动学参数、二体轨道参数、恒星质量参数等.这些参数不仅是高精度、高密度星表参考架的必要组成部分,而且为恒星物理、星团和星系天文学等领域的研究提供了重要帮助.近年来,随着各种观测技术的发展和应用,特别是空间天体测量、光干涉观测和高分辨分光观测的开展,各种高精度的观测资料越来越多,双星轨道拟合也成为当前天文学研究的重要研究课题.针对联合多种观测资料的双星轨道拟合研究,本论文开展了如下几方面工作:     

依巴谷星表和第谷星表的特征和意义

主要论述依巴谷星表和第谷星表的观测特征和天体测量特征,依巴谷卫星在短期内同时测定大量高精度的恒星位置,自行和视差等五个天体测量参数以及星等和色指数,依巴谷星表和第谷星表为建立高精度的光学参考系,为研究恒星的起源,演化,分布,质量,大小和光度等,为研究双星和聚星的分布和运动,为研究星系运动和星系动力学提供了大量的高精度资料,具有重要的科学意义。     

利用长期资料改进双星轨道解的一种方法

早期的地面观测积累了大量关于双星系统的观测资料.相对于近年来的各种观测数据,这些资料兼有精度低的缺陷和时间跨度长的优势．针对同时具有长期资料和依巴谷观测数据的较长周期的双星系统(如依巴谷星表的双星和多星附表中的G型双星系统),提出一种联合拟合方法,即首先通过拟合依巴谷的观测数据IAD寻求目标函数局部极小的轨道解,然后从中选出长期资料的最优解．结合这种方法的可行性分析,讨论了适用该方法的双星系统的轨道特征．作为应用实例,研究了文献中存在两种轨道解且仅有7次长期资料可以利用的系统73Leo,通过伴星质量的外符合分析,给出了具有较高可信度的轨道解．     

双星观测量计算方法的改进及应用

双星轨道拟合是基本天文研究领域的重要内容,其给出的动力学质量、轨道参数具有重要的应用价值.前者是恒星系统动力学研究和恒星物理演化研究必不可少的参量,后者则对提高亮星星表参考架的参考星数密度具有重要意义.但是,该项研究此前普遍采用了一些近似,如切平面的变化与空间的透视效应均被忽略.对上百个含亮子星的双星系统而言,这些近似引起观测量计算的偏差已经超过了当前的观测误差(1 mas).我们以牛顿二体模型为基础,用严格的立体几何关系改进了观测量的计算方法,通过仿真和观测数据验证了方法改进的有效性.拟合的结果表明,模型参数的拟合值和子星的观测量预报均有显著的改进.因此,对于双星,尤其是太阳系邻近的远距双星,改进观测量计算方法是必须的.     

测定星表零点方法的介绍

本文对星表零点改正的定义进行了归纳,并介绍了利用太阳,月球及行星的观测确定星表分点改正及赤道改正的方法。指出,为提高星表零点改正的测定精度,必须要有较为理想的观测对象,并能获得在其整个运行轨道上尽可能均匀分布的高精度的观测资料。     

主序星的Ⅴ波段经验质光关系

恒星质量是恒星物理以及恒星系统动力学研究中一个不可或缺的参量.双星轨道拟合是获取恒星(动力学)质量的最可靠途径,而绝大部分恒星的质量仍然需要通过恒星质光关系来估计,因此,通过拟合恒星动力学质量和光度数据得到经验质光关系的工作具有重要意义.尽管主序星的Ⅴ波段质光关系由于金属丰度的影响而具有一定的弥散性,但有研究表明这种影响主要限于恒星质量小于 0.6M_⊙的情况.对于较大质量的主序星,近年来的观测拟合研究积累了比较充分的动力学质量和Ⅴ波段光度数据,从而为显著改进上述质光关系提供了可能.利用一个能合理分配两个不同量纲观测量权重的拟合方法,根据 203 颗恒星的动力学质量和光度数据给出了主序星的Ⅴ波段经验质光关系,该结果对此前结果的改进不仅具有统计显著性,而且其对恒星质量估计的相对误差已达到约 5%.因此,该结果不仅可以用于开展有关恒星物理或恒星系统动力学方面的统计性研究,而且对具体实际多星系统的长期动力学研究和短期定位研究等也有应用价值.     

主序星的V波段经验质光关系

恒星质量是恒星物理以及恒星系统动力学研究中一个不可或缺的参量.双星轨道拟合是获取恒星(动力学)质量的最可靠途径,而绝大部分恒星的质量仍然需要通过恒星质光关系来估计,因此,通过拟合恒星动力学质量和光度数据得到经验质光关系的工作具有重要意义.尽管主序星的V波段质光关系由于金属丰度的影响而具有一定的弥散性,但有研究表明这种影响主要限于恒星质量小于0.6M_⊙的情况.对于较大质量的主序星,近年来的观测拟合研究积累了比较充分的动力学质量和V波段光度数据,从而为显著改进上述质光关系提供了可能.利用一个能合理分配两个不同量纲观测量权重的拟合方法,根据203颗恒星的动力学质量和光度数据给出了主序星的V波段经验质光关系,该结果对此前结果的改进不仅具有统计显著性,而且其对恒星质量估计的相对误差已达到约5%.因此,该结果不仅可以用于开展有关恒星物理或恒星系统动力学方面的统计性研究,而且对具体实际多星系统的长期动力学研究和短期定位研究等也有应用价值.     

双星系统中行星的形成及动力学

自1995年在类太阳恒星周围发现第1颗太阳系外行星(简称系外行星)以来,到目前为止发现的系外行星数目已达500多个.恒星一般诞生在双星系统中,因此在双星系统中发现行星是很自然的.目前的观测统计显示,双星系统中具有行星的恒星比例大概为17％.显然这个比例应该看成一个下限,因为很强的观测选择效应使很多行星观测计划避开了双星系统.目前发现的有行星的双星系统大都为S型,即一颗伴星围绕着里面的恒星-行星系统公转.一般S型的双星轨道间距在100 AU以上,不过目前也发现了4个S型双星轨道间距在20 AU左右.这些系统包括Gamma Cephei、GJ 86、HD41004和HD 196885.除了以上介绍的S型双星,还有一类叫P型,即行星围绕两个恒星公转.P型的双星到目前为止只发现并确认了两例.本论文将主要研究S型双星系统中的行星形成. 在第1章,我们首先概括了到目前为止有关单星和双星系统中行星的观测特征.然后,我们系统地介绍了有关行星形成的理论模型,特别是这些理论模型应用到双星系统中时需要考虑的情况变化.双星系统中,由于伴星的引力扰动,行星形成与之在单星系统中相比变得更加复杂.伴星的引力可以激发起星子的轨道,从而使得它们的碰撞速度增大到大于星子的表面逃逸速度,甚至大于使星子碎裂的极限速度.行星形成的中间(第2)阶段—从星子到行星胚胎,因此变得问题重重和扑朔迷离.我们接下来的内容将主要集中在这个问题很多的中间阶段,看星子能否以及如何顺利通过这个阶段.     

天文学研究发展趋势分析--恒星与恒星系统

对在1981-2000年世界上所发表的和中国学者所发表的有关恒星与恒星系统的论文作统计发现：此期间世界上这一领域的发展较平稳，而我国的发展快速．这反映了改革开放后，我国基础学科研究大有进展．从各分支所占的比重和发展来看，我国在恒星与恒星系统的研究与世界同期有几乎相同的分布，因此总体上我国在这一领域的发展基本正常．当然有些分支发展较快，如有关超新星及其遗迹、星际介质和恒星形成区、化学丰度的研究等，这和一些较强的研究团组形成有关；在双星研究方面，我国则与世界发展一致，双星研究始终是恒星研究领域的重点；而在世界范围内较突出的关于银河系的研究，在我国却相对较弱．恒星和恒星系统这一研究领域20年的论文数统计显示，我国学者所发表的论文只占世界总论文数的1．3％，虽然在最后5年有大幅上升，但也只占2．0％，这与我国IAU会员数所占比例相比是偏少的．就世界整体而言，恒星领域的研究进展与整个天文学领域相比是较慢的，显然这与一批能做深空探测和高能波段观测的设备投入有关．因此，除了对恒星及恒星系统领域作统计分析外，对整个天文学领域各大分支作分析可能对制定今后我国天文学发展计划更有利。     

群星的族谱——天文学星表纵览（2）

梅西叶搜寻彗星时发现的众多模糊天体,为天文学开辟了新的研究领域。新的目标刺激了新的观测手段和方法,新的发现也彻底改变了人们对宇宙的理解,星表也从此不再局限于恒星。要理清历史的发展脉络我们只能分头来看了。     

A New Algorithm in Computations of Binary Stars’ Observational Quantities and Its Application

The determination of the orbital parameters of binaries is an important constituent of fundamental astronomy. It is the only reliable way to determine the stellar mass, which is crucial for the studies of stellar dynamics and evolution. And the orbital parameters can be used to compute the motions of component stars, which could improve the population of reference stars in the bright star catalogue reference frame. However, the previous studies on the determination of binaries’ orbital parameters adopted some approximations in the computation of observational quantities. According to the statistical results of hundreds of binaries with bright component stars, it could be found that the approximations in the variation of the tangent plane and the prospective effect of the reference plane have made the deviations of computed observational quantities become larger than the present observational precision (1 mas). In this paper, a new algorithm based on the two-body model and the rigorous relation of solid geometry for computing observational quantities is presented. This new algorithm has been verified by fitting the simulation and actually-observed data. And the fitting results show that the fitted parameters solved by the new algorithm usually have a higher confidence than that solved by the approximate algorithm. Therefore, the new algorithm has certain improvements in the determination of the orbital parameters of binaries, especially, for the wide binaries nearby the solar system.     

GAIA and Population II Visual Binaries

The results of a kinematical population classification of 497 Hipparcos orbital binaries are discussed. Less than 10% of the stars from the sample belong to the thick disk. Only seven stars have halo kinematics. There are no direct dynamical mass determinations for extreme halo stars. Some suggestions, concerning Population II visual binaries for which ground-based astrometric observations in combination with GAIA data will be useful in the future for the better determination of orbits for long period Population II binaries, are offered. This revised version was published online in July 2006 with corrections to the Cover Date.     

Observations of double stars at Pulkovo with 65 cm Zeiss refractor

Some results of the photographic observations of double stars with 65 cm refractor of Pulkovo observatory are presented. We use the apparent motion parameters (AMP) method which allows to determine the orbits and to carry out the dynamical investigation of wide binaries on the basis of a short arc of their orbital motion. We have determined more than 40 orbits for wide pairs and also the sum of masses and in some cases—the mass-ratio of components. The references to our works and the basic results of observations are contained in Kisselev et al. [2004. Catalogue of relative positions of visual double stars made on the observations with 26^″ refractor of Pulkovo observatory. Strassbourg, I/297]. We apply two ways of revealing the hidden mass of our stars, namely: revealing of possible perturbations from comparison of observational and calculated positions using differences O-C (for instance, perturbations in the orbital motion of ADS 15571) and also by means of comparison of the sum of the masses obtained by us and the sum of the masses obtained by means of the mass-luminosity relation. An excess of masses of about 1-3 solar masses is detected for binaries: ADS 497, ADS 8450 and ADS 10329 by means of last method.The estimations of the masses for some binaries are discussed. Also we justify the necessity of precise parallaxes and relative radial velocities of stars, which could be measured by space telescopes such as the GAIA as the additional parameters for determination of orbits of binaries.     

钡星系统轨道根数分布及丰度的Monte-Carlo模拟计算

采用星风质量吸积的角动量守恒模型，用Monte—Carlo方法研究了普通红巨星双星系统和钡星的轨道根数的变化规律，由于钡星系统是由普通红巨星双星系统演化而来，因此钡星系统的轨道偏心率及周期的分布显示了经过质量吸积后双星系统的最终轨道特征。计算结果表明，随着星风吸积过程的进行，在星风质量损失阶段系统轨道半长轴将增大，导致轨道周期增大，而偏心率变化不大，由此可以解释普通红巨星双星系统和钡星系统的轨道根数的分布规律和变化情况以及钡星重元素丰度分布特征。     

Magellanic Cloud WC/WO Wolf–Rayet stars – II. Colliding winds in binaries

A search for evidence of colliding winds is undertaken among the four certain Magellanic Cloud WC/WO spectroscopic binaries found in the companion Paper I, as well as among two Galactic WC/WO binaries of very similar subtype. Two methods of analysis, which allow the determination of orbital inclination and parameters relating to the shock cone from spectroscopic studies of colliding winds, are attempted. In the first method, Lührs' spectroscopic model is fitted to the moderately strong C  iii 5696-Å excess line emission arising in the shock cone for the stars Br22 and WR 9. The four other systems show only very weak C  iii 5696-Å emission. Lührs' model follows well the mean displacement of the line in velocity space, but is unable to reproduce details in the line profile and fails to give a reliable estimate of the orbital inclination. In the second method, an alternative attempt is also made to fit the variation of more global quantities, full width at half-maximum and radial velocity of the excess emission, with phase. This method also gives satisfactory results in a qualitative way, but shows numerical degeneracy with orbital inclination. Colliding wind effects on the very strong C  iv 5808-Å Wolf–Rayet emission line, present in all six binaries, are also found to behave qualitatively as expected. After allowing for line enhancement in colliding wind binaries, it now appears that all Magellanic Cloud WC/WO stars occupy a very narrow range in spectral subclass: WC4/WO3.     

Population Synthesis of Binary Be Stars with Degenerate Companions in the Galaxy

Using the numerical code (`Scenario Machine') we study of number and physical properties of binary Be stars. Evolutionary tracks leading to a formation of the observational binary systems are presented. We conclude that synchronization must be taken into account when calculating binary Be star evolution and calculate the minimal orbital period for Be/evolved companion binary. The obtained distributions over orbital parameters are in good agreement with the observational lack of short-period Be/X-ray binaries. According to our calculations 70% of all Be stars must have a white dwarf. The white dwarfs in these systems should be hot enough with the surface temperature distribution peaking at 10000–20000 K. Their detection is possible during the period of the lack of Be star envelope by the detection of white dwarf extremely UV and soft X-ray emission. This method of registration appears to be particularly promising for `single' early-type Be stars because in these systems the white dwarfs must have a very high surface temperature. However, the loss of the Be disc-like envelope does not often occur and it is a rather rare event for many Be stars. The best possibility of white dwarf detection is given by the study of helium spectral lines found in emission from several Be stars. The ultraviolet continuum energy of these Be stars is found to be not enough to produce the observed helium emission. Besides, we also discuss the orbital properties of binary Be star systems with other evolved companions such as helium stars and neutron stars and give a possible explanation for the lack of Be/black hole binaries. This revised version was published online in July 2006 with corrections to the Cover Date.     

Prospects of high angular resolution measurements of binary stars properties with VLTI

We present a program for observations of spectroscopic binaries with VLTI. The aim of such observations is to obtain high accuracy measurements of stellar parameters, in particular masses, combining the visual orbit with spectroscopic orbital elements. We selected a sample of spectroscopic binaries, including pre-main sequence stars, using the estimated angular nodal separation as a criterion for feasibility. A cross-check with the 4th catalog of measurements of binary stars (Hartkopf, 2001) was carried out and we discuss the statistical properties of the sample. This revised version was published online in July 2006 with corrections to the Cover Date.     

Neutron Stars in X-ray Binaries and their Environments

Neutron stars in X-ray binary systems are fascinating objects that display a wide range of timing and spectral phenomena in the X-rays. Not only parameters of the neutron stars, like magnetic field strength and spin period evolve in their active binary phase, the neutron stars also affect the binary systems and their immediate surroundings in many ways. Here we discuss some aspects of the interactions of the neutron stars with their environments that are revelaed from their X-ray emission. We discuss some recent developments involving the process of accretion onto high magnetic field neutron stars: accretion stream structure and formation, shape of pulse profile and its changes with accretion torque. Various recent studies of reprocessing of X-rays in the accretion disk surface, vertical structures of the accretion disk and wind of companion star are also discussed here. The X-ray pulsars among the binary neutron stars provide excellent handle to make accurate measurement of the orbital parameters and thus also evolution of the binray orbits that take place over time scale of a fraction of a million years to tens of millions of years. The orbital period evolution of X-ray binaries have shown them to be rather complex systems. Orbital evolution of X-ray binaries can also be carried out from timing of the X-ray eclipses and there have been some surprising results in that direction, including orbital period glitches in two X-ray binaries and possible detection of the most massive circum-binary planet around a Low Mass X-ray Binary.     

Magnetic braking of Ap/Bp stars: application to compact black-hole X-ray binaries

We examine the proposal that the subset of neutron-star and black-hole X-ray binaries that form with Ap or Bp star companions will experience systemic angular-momentum losses due to magnetic braking, not otherwise operative with intermediate-mass companion stars. We suggest that for donor stars possessing the anomalously high magnetic fields associated with Ap and Bp stars, a magnetically coupled, irradiation-driven stellar wind can lead to substantial systemic loss of angular momentum. Hence, these systems, which would otherwise not be expected to experience 'magnetic braking', evolve to shorter orbital periods during mass transfer. In this paper, we detail how such a magnetic braking scenario operates. We apply it to a specific astrophysics problem involving the formation of compact black-hole binaries with low-mass donor stars. At present, it is not understood how these systems form, given that low-mass companion stars are not likely to provide sufficient gravitational potential to unbind the envelope of the massive progenitor of the black hole during a prior 'common-envelope' phase. On the other hand, intermediate-mass companions, such as Ap and Bp stars, could more readily eject the common envelope. However, in the absence of magnetic braking, such systems tend to evolve to long orbital periods. We show that, with the proposed magnetic braking properties afforded by Ap and Bp companions, such a scenario can lead to the formation of compact black-hole binaries with orbital periods, donor masses, lifetimes and production rates that are in accord with the observations. In spite of these successes, our models reveal a significant discrepancy between the calculated effective temperatures and the observed spectral types of the donor stars. Finally, we show that this temperature discrepancy would still exist for other scenarios invoking initially intermediate-mass donor stars, and this presents a substantial unresolved mystery.     

Wide Binaries from Few-Body Interactions

The orbital properties of wide binaries are modified by stellar encounters during their lifetimes as field stars. The few body process is particularly efficient right after the star formation in star clusters. In this article we review the orbital parameters which we expect from the few-body process. First, the solutions of the General Three-Body Problem are described, and then a detailed discussion of the theory relevant to binaries follows. Among other things, Öpik's law of the distribution of semi- major axes of the binaries is derived. In addition, we summarize recent results from the few-body problem of extended bodies which may be relevant to the early dynamical evolution of protostellar clouds.