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Compact Formulation for Numerical Solution of Chandrasekhar’s (boldsymbol{H})-Function 钱德拉塞卡(boldsymbol{H}) -函数数值解的紧凑公式
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-24 DOI: 10.1134/S1990341325600450
H. Öztürk, F. Anlı, A. Kadem

Chandrasekhar’s (H)-function plays an important role in applied sciences, such as radiative transfer scattering theory. In this paper a numerical solution of the nonlinear integral equation for Chandrasekhar’s (H)-function and its first derivative has been derived. In addition, numerical results for the zeroth, first, and second moments of the (H)-function are obtained. We have arranged a compact formulation for the Gauss-shifted Legendre quadrature set and used it for numerical computation. It can be seen from the derivation of the equations and application of the numerical method explained in detail that the present method can be applied to other problems in applied sciences. Numerical results consistent with those available in the literature have been obtained even in low-order approximations. Accordance between them corresponds to a difference of about 0.01(%). This explicitly illustrates the accuracy and capability of the method.

钱德拉塞卡(H)函数在辐射传递散射理论等应用科学中起着重要作用。本文导出了钱德拉塞卡(H) -函数及其一阶导数的非线性积分方程的数值解。此外,还得到了(H) -函数的第0、1、2阶矩的数值结果。我们整理了高斯位移勒让德正交集的紧凑公式,并将其用于数值计算。从方程的推导和数值方法的应用中可以看出,该方法可以应用于应用科学中的其他问题。在低阶近似下也得到了与文献一致的数值结果。它们之间的一致性约为0.01 (%)。这清楚地说明了该方法的准确性和能力。
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引用次数: 0
MOLLId: Software for Automatic Identification of Molecules and Its Application to the Spectra of Protostars from the Region RCW 120 MOLLId:分子自动识别软件及其在rcw120区原恒星光谱中的应用
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-24 DOI: 10.1134/S1990341325600498
A. A. Farafontova, M. S. Kirsanova, S. V. Salii

In this work, we present the program MOLLId (MOLecular Line Identification) for automated molecular line approximation with a Gaussian profile. Molecular identification was performed using multi-level comparison of the lines’ center frequencies and rest frequencies from the spectroscopic database. The program was tested in the identification of molecular lines in observed spectra of young stellar objects RCW 120 YSO S1 and RCW 120 YSO S2 located near the border of the RCW 120 PDR. In the spectra of the RCW 120 YSO S1 source, 100 lines of 41 molecules were identified over the level of 4–6 (sigma). In the spectra of the RCW 120 YSO S2 source, 407 lines of 79 molecules were identified over the 3–5 (sigma) level. Using the Intel Core i7-12700K CPU, identification time is equal to 6 and 8 minutes per spectral range for the YSOs S1 and S2, respectively. From the analysis of CH({}_{3})OH, CH({}_{3})CN, CH({}_{3})CCH molecules identified in RCW 120 YSO S2, we found a two-component structure and estimated the physical parameters in the LTE approximation for each of the components.

在这项工作中,我们提出了MOLLId(分子线识别)程序,用于自动逼近高斯剖面的分子线。利用光谱数据库中谱线的中心频率和休息频率的多级比较进行分子鉴定。对位于RCW 120 PDR边界附近的年轻恒星天体RCW 120 YSO S1和RCW 120 YSO S2观测光谱中的分子谱线进行了验证。在RCW 120 YSO S1源的光谱中,在4-6 (sigma)水平上鉴定了100条谱线41个分子。在RCW 120 YSO S2源的光谱中,在3-5 (sigma)水平上鉴定出407条谱线,共79个分子。使用Intel酷睿i7-12700K CPU, YSOs S1和S2在每个光谱范围内的识别时间分别为6分钟和8分钟。通过对RCW 120 YSO S2中鉴定的CH ({}_{3}) OH, CH ({}_{3}) CN, CH ({}_{3}) CCH分子的分析,我们发现了一个双组分结构,并估计了每个组分在LTE近似中的物理参数。
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引用次数: 0
Methods for Analyzing Multiwavelength Light Curves of AGNs agn多波长光曲线分析方法
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-24 DOI: 10.1134/S1990341325600589
M. L. Khabibullina, V. A. Stolyarov, P. G. Zhekanis, T. V. Mufakharov, Yu. V. Sotnikova, A. E. Volvach, G. A. Borman, T. S. Grishina, E. G. Larionova, D. A. Morozova, S. S. Savchenko, I. S. Troitskiy, Yu. V. Troitskaya, A. A. Vasilyev

The paper presents methods for analyzing multiwavelength light curves of active galactic nuclei with uneven time sampling, including the use of the structure functions, autocorrelation and cross-correlation functions, Lomb–Scargle periodograms, and weighted wavelet analysis. The structure functions allow quantitative estimation of the temporal scales of variations, correlation functions provide detection of temporal delays between different frequencies, Lomb–Scargle periodograms detect periodicities in nonuniform data, and wavelet analysis makes it possible to localize variable processes in time and to study the evolution of the signal frequency composition. The comprehensive use of these methods allows detailed investigation of the temporal and frequency structure of physical processes in active galactic nuclei, taking into account the influence of the unevenness of experimental data. The advantages and limitations of each method are considered using examples of analyzing specific sources, and their practical significance for studying the variability of active galactic nuclei is demonstrated.

提出了利用结构函数、自相关函数和互相关函数、Lomb-Scargle周期图和加权小波分析等方法分析非均匀时间采样下活动星系核的多波长光曲线。结构函数可以定量估计变化的时间尺度,相关函数可以检测不同频率之间的时间延迟,Lomb-Scargle周期图可以检测非均匀数据中的周期性,小波分析可以在时间上局部化变量过程并研究信号频率组成的演变。综合使用这些方法可以详细研究活动星系核中物理过程的时间和频率结构,同时考虑到实验数据不均匀性的影响。通过对具体源的分析,分析了每种方法的优点和局限性,并说明了它们对研究活动星系核变异性的实际意义。
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引用次数: 0
Averaged Phase Curves for Several Taxonomic Types of Asteroids 几种分类类型小行星的平均相位曲线
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-24 DOI: 10.1134/S1990341325600516
T. A. Vinogradova

A method is proposed for constructing averaged phase curves of asteroid brightness for various taxonomic types. The method is based on a large number of astrometric observations published in the Minor Planet Center catalog, for which the apparent visual magnitudes of asteroids were measured simultaneously. Thousands of asteroids of each taxonomic type S, C, E, V, Q, L, D, and X were selected, and numerical integration of the equations of motion was performed. In the course of integration, for each observation, the component of the apparent magnitude dependent on the phase angle was determined. For asteroids of a given type, all obtained values were averaged over the phase angle. As a result, averaged phase curves characterizing each taxonomic type were constructed. The large volume of observational data makes it possible to clearly reveal the character of the opposition effect for different types. A shift of the phase curves with respect to zero at a zero phase angle was noted. This shift depends on asteroid size and differs among taxonomic types. The presence of such a shift indicates a systematic error in the absolute magnitudes of asteroids published in the Minor Planet Center catalog.

提出了一种构造不同分类类型小行星亮度平均相位曲线的方法。该方法基于小行星中心目录中发表的大量天体测量观测结果,同时测量了小行星的视星等。选取S、C、E、V、Q、L、D、X各分类类型的数千颗小行星,对其运动方程进行数值积分。在积分过程中,对每次观测,确定视星等随相位角的分量。对于给定类型的小行星,所有得到的值在相位角上取平均值。建立了表征各分类类型的平均相曲线。大量的观测资料使得清晰地揭示不同类型的对差效应的特征成为可能。注意到相位曲线在零相角处相对于零的位移。这种转变取决于小行星的大小,并因分类类型而异。这种变化的存在表明在小行星中心目录中公布的小行星绝对星等存在系统误差。
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引用次数: 0
B[e] star CI Cam: a High-Resolution Spectrum Atlas in the Range of 395–780 nm B[e] star CI Cam: 395 ~ 780nm高分辨率光谱图谱
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-24 DOI: 10.1134/S1990341325600619
V. G. Klochkova, A. S. Miroshnichenko, V. N. Komarova, N. S. Tavolzhanskaya

The atlas of the spectrum of the B[e] star CI Cam obtained with the 6-m BTA telescope of the SAO RAS applying the NES spectrograph in the wavelength range of 395–780 nm with a resolution of (lambda/Deltalambdageq 60,000) is presented. The atlas identifies about 400 spectral features and illustrates the diversity of spectral features of the unique star, forming in a complex circumstellar environment. The spectrum is dominated by forceful single-peaked H I, He I emissions and numerous double-peaked permitted and forbidden emission lines of ions of chemical elements starting from the CNO triad up to metals (Mg, Al, Ti, V, Cr, Fe) with ‘‘rectangular’’ profiles. The Fe II and [Fe II] emissions predominate in the spectrum. However, several double-peaked forbidden ion emissions were also detected: [V II], [Cr II], [Ni II]. The atlas is presented graphically, with a separate figure corresponding to each échelle order. A list of identified lines, including a number of known interstellar features is presented in table form. The supergiant status of CI Cam is confirmed by the richness of its spectrum with different features of nitrogen.

本文介绍了SAO RAS 6 m BTA望远镜利用NES光谱仪在395 ~ 780 nm波长范围内获得的B[e]星CI Cam光谱图谱,分辨率为(lambda/Deltalambdageq 60,000)。该图集确定了大约400个光谱特征,并说明了在复杂的星周环境中形成的独特恒星的光谱特征的多样性。光谱主要由强力的单峰H I, He I发射和大量的双峰允许和禁止发射线的化学元素离子,从CNO三元组到金属(Mg, Al, Ti, V, Cr, Fe)具有“矩形”轮廓。Fe II和[Fe II]在光谱中占主导地位。然而,也检测到几种双峰禁止离子发射:[V II], [Cr II], [Ni II]。该地图集以图形形式呈现,并有一个单独的数字对应于每一个可变的顺序。表中列出了已识别的线条,包括一些已知的星际特征。CI Cam光谱的丰富性和不同的氮特征证实了它的超巨星地位。
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引用次数: 0
The Massive Binary System WR 20a: Light Curve Analysis in a Colliding Wind Model 大质量双星系统WR 20a:碰撞风模型中的光曲线分析
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-24 DOI: 10.1134/S1990341325600486
I. I. Antokhin, E. A. Antokhina, A. M. Cherepashchuk

The article presents the results of the analysis of optical light curves of the massive binary system WR 20a (WN 6ha (+) WN 6ha). The analysis was performed with a binary system model, extending the standard Roche model for the case when both components of the system have powerful stellar winds. The model takes into account the collision of the winds and the influence of orbital motion on the collision zone. The observational light curves in (BVI) filters were taken from previously published papers, in which they were analyzed using the standard Roche model. The main difference between the results of our work and the previous results is that in our model the radii of the components are about 25(%) smaller. As a consequence, the luminosity of the system in our model decreased by approximately 40(%), and the distance to the system by 20(%). In addition, the model was able to successfully describe the observed asymmetry of the light curve with respect to the phases of the conjunctions, which is impossible in the standard Roche model. The model light curves were also compared with the observational curves obtained by the TESS satellite and the ASAS-SN project. It was shown that, taking into account recent studies of interstellar extinction in the direction of the young open cluster Westerlund 2, the distance to WR 20a obtained in our calculations is consistent with the hypothesis that WR 20a is a member of the cluster.

本文介绍了大质量双星系统WR 20a (WR 6ha (+) WR 6ha)的光学光曲线分析结果。分析是用一个双星系统模型进行的,扩展了标准的罗氏模型,当系统的两个组成部分都有强大的恒星风时。该模型考虑了风的碰撞和轨道运动对碰撞区的影响。(BVI)滤光器中的观测光曲线取自先前发表的论文,其中使用标准罗氏模型对其进行了分析。我们的工作结果与之前的结果之间的主要区别在于,在我们的模型中,组件的半径大约小了25 (%)。因此,在我们的模型中,系统的光度下降了大约40 (%),到系统的距离减少了20 (%)。此外,该模型能够成功地描述观察到的光曲线相对于连接相位的不对称性,这在标准罗氏模型中是不可能的。并将模型光曲线与TESS卫星和ASAS-SN项目观测曲线进行了比较。结果表明,考虑到最近对年轻疏散星团Westerlund 2方向星际消光的研究,我们计算得到的到WR 20a的距离与WR 20a是该星团成员的假设是一致的。
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引用次数: 0
Magnetic Field of Chemically Peculiar Stars from SDSS/APOGEE Infrared Survey. I. HD 13404, HD 225114, and BD (boldsymbol{{+}64^{circ}}) 325 SDSS/远地点红外巡天中化学特殊恒星的磁场。1 . HD 13404, HD 225114和BD (boldsymbol{{+}64^{circ}}) 325
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-24 DOI: 10.1134/S1990341325600656
I. I. Romanyuk, I. A. Yakunin, E. P. Korchagina, A. V. Moiseeva, V. N. Aitov

The paper presents spectropolarimetric monitoring of three chemically peculiar stars, HD 13404, HD 225114, and BD ({+}64^{circ}) 325, whose peculiarity has been discovered during the SDSS/APOGEE IR survey. Observations were carried out with the 6-m BTA telescope equipped with a circular polarization analyzer. For the first time, the longitudinal magnetic field phase curves were constructed for these stars, and their rotational periods were refined using the TESS photometry. Significant differences in the nature of their magnetic variability were discovered: HD 13404 shows a weak modulation, probably due to the observation geometry, while HD 225114 and BD ({+}64^{circ}) 325 were revealed to have a complex magnetic field topology associated with the non-uniform surface chemical distributions.

本文介绍了在SDSS/APOGEE红外巡天中发现的三颗化学性质奇特的恒星HD 13404、HD 225114和BD ({+}64^{circ}) 325的光谱偏振监测。观测采用6米BTA望远镜,配有圆偏振分析仪。首次构建了这些恒星的纵向磁场相位曲线,并利用TESS光度法对其旋转周期进行了细化。研究人员发现,HD 13404表现出微弱的调制,这可能是由于观测的几何形状,而HD 225114和BD ({+}64^{circ}) 325则显示出复杂的磁场拓扑结构,这与表面化学分布不均匀有关。
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引用次数: 0
Catalog of Average Magnetic Phase Curves of Stars. II. Addendum to the Second Catalog 恒星平均磁相曲线表。2。第二目录增编
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-24 DOI: 10.1134/S1990341325600644
V. D. Bychkov, L. V. Bychkova

The main objectives of this work is to obtain the average magnetic phase curves of stars in order to determine their parameters for the purpose of describing their magnetic behavior and for statistical studies. This work was necessitated by two factors: the appearance of new high-accuracy magnetic measurements, which made it possible to refine the variability parameters for some previously studied stars; and the availability of new magnetic measurements for stars with rotation periods determined from high-accuracy photometry from space missions. As a result of this addition, average magnetic phase curves are currently available for 415 stars, 258 of which are Ap/Bp stars. Such a large number of Ap/Bp stars allows one not only to estimate the variability parameters but also to try to find a cause explaining the extremely slow rotation of some of these stars.

这项工作的主要目的是获得恒星的平均磁相曲线,以确定它们的参数,用于描述它们的磁行为和统计研究。这项工作有两个必要的因素:新的高精度磁测量的出现,使得改进一些先前研究过的恒星的变异性参数成为可能;还有新的恒星磁场测量方法的可用性,这些恒星的自转周期是由太空任务的高精度光度测定法确定的。由于这一增加,目前可以获得415颗恒星的平均磁相位曲线,其中258颗是Ap/Bp恒星。如此大量的Ap/Bp恒星不仅使人们能够估计变异性参数,而且还可以试图找到解释其中一些恒星极其缓慢旋转的原因。
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引用次数: 0
On the Influence of Component Orbital Motion on the Photometric Variability of DF Tau 分量轨道运动对DF - Tau光度变异性的影响
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-24 DOI: 10.1134/S1990341325600474
M. A. Burlak, K. N. Grankin, A. V. Dodin, N. V. Emelyanov, N. P. Ikonnikova, Ya. A. Lazovik, S. A. Lamzin, B. S. Safonov, I. A. Strakhov

Based on the analysis of the long-term light curve of the young binary system DF Tau spanning approximately 125 years, we infer that its brightness variations are associated with changes in the accretion rate from the circumstellar protoplanetary disk onto the primary star. We have also substantially improved the orbital parameters of DF Tau, which enables us to align its secular light curve with the evolution of the binary’s component separation. The relationship between the long-term brightness variations and the orbital motion of DF Tau, if present, appears to be inconsistent with theoretical predictions. Notably, similar discrepancies between theory and observations are also seen in other young binary systems. Furthermore, the source of the polarized radiation in the optical range is found to be located at a distance of (0overset{primeprime}{.}5) from the star, with the polarization variability showing no dependence on the orbital phase.

通过对年轻双星系统DF - Tau近125年的长期光曲线分析,我们推测其亮度变化与原行星盘向主星的吸积速率变化有关。我们还大幅改进了DF Tau的轨道参数,这使我们能够将其长期光曲线与双星组分分离的演变对齐。DF Tau的长期亮度变化与轨道运动之间的关系,如果存在的话,似乎与理论预测不一致。值得注意的是,在其他年轻的双星系统中也可以看到类似的理论和观测之间的差异。此外,在光学范围内,发现偏振辐射源位于距离恒星(0overset{primeprime}{.}5)的距离处,偏振变异性与轨道相位无关。
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引用次数: 0
Distances of Galaxy Groups and Clusters Measured Using Fundamental Planes 用基本平面测量星系团和星系团的距离
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-24 DOI: 10.1134/S1990341325600309
F. G. Kopylova, A. I. Kopylov

In this paper, we continue our research on constructing the optimal fundamental plane (FP) of galaxy groups and clusters for measuring their distances. This work was carried out using archival data from the SDSS and 2MASX catalogs. We present the fundamental planes (scaling relations of dynamical and photometric parameters) of 205 galaxy groups and clusters ((z<0.15)). We found that in the near infrared ((K)-filter), the distribution of galaxy clusters is well approximated by three-parameter planes of the form (R_{e}proptosigma^{1.01pm 0.05}langle I_{e}rangle{{}^{-0.32pm 0.03}}) and (R_{e}propto N^{0.43pm 0.01}langle I_{e}rangle^{-0.40pm 0.02}) and a four-parameter plane of the form (R_{e}proptosigma^{0.15pm 0.06}langle I_{e}rangle^{-0.39pm 0.02}N^{0.38pm 0.02}). The fundamental planes have logarithmic standard deviations of 0.060, 0.036, and 0.035. If we use the fundamental planes to measure distances of galaxy systems, these deviations correspond to 14(%) and 8(%) errors in the distance of a single cluster. Using the four-parameter fundamental plane, we obtained the scatter of the Hubble constant (H_{0}=70pm 5.6text{ km s}^{-1}) Mpc({}^{-1}). Using three fundamental planes of galaxy clusters, it was found that the velocity of the average drift motion in the three-degree cosmic microwave background (CMB) system of five superclusters of galaxies from the SDSS region is (langle V_{textrm{pec}}rangle={+}241pm 180text{ km s}^{-1}).

在本文中,我们继续研究构造星系团和星系团的最优基平面(FP)来测量它们的距离。这项工作是使用来自SDSS和2MASX目录的档案数据进行的。我们给出了205个星系团和星系团的基本平面(动力学和光度参数的标度关系)((z<0.15))。我们发现,在近红外((K) -滤光片)中,星系团的分布可以很好地近似于(R_{e}proptosigma^{1.01pm 0.05}langle I_{e}rangle{{}^{-0.32pm 0.03}})和(R_{e}propto N^{0.43pm 0.01}langle I_{e}rangle^{-0.40pm 0.02})形式的三参数平面和(R_{e}proptosigma^{0.15pm 0.06}langle I_{e}rangle^{-0.39pm 0.02}N^{0.38pm 0.02})形式的四参数平面。基本平面的对数标准差分别为0.060、0.036和0.035。如果我们用基本平面来测量星系系统的距离,这些偏差对应于单个星团距离的14 (%)和8 (%)误差。利用四参数基本平面,我们得到了哈勃常数(H_{0}=70pm 5.6text{ km s}^{-1}) Mpc ({}^{-1})的散射。利用星系团的三个基本平面,得到了SDSS区域5个超星系团的三度宇宙微波背景(CMB)系统的平均漂移运动速度为(langle V_{textrm{pec}}rangle={+}241pm 180text{ km s}^{-1})。
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引用次数: 0
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