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Tsallis Statistics as a Theoretical Basis of the Empiric Kappa Distribution for Systems in a Stationary State out of Thermal Equilibrium 非热平衡稳态系统经验Kappa分布的理论基础——Tsallis统计
IF 0.8 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-05-02 DOI: 10.1134/S0038094625601458
A. V. Kolesnichenko

Kappa distributions, which make it possible to effectively model the observed distributions of particles in cosmic and astrophysical plasma media throughout the heliosphere, are now widely used. In this paper we discuss the physical foundations and theoretical justification of kappa distributions naturally appearing within the Tsallis nonextensive statistical mechanics. These distributions provide an adequate description of rarefied plasma configurations in stationary states that are out of thermal equilibrium. The main formulas for theoretical kappa distributions are presented, and their application to studies of decaying fine-scale turbulence in cosmic plasma is briefly overviewed. It has been shown that these distributions, which follow from the Tsallis entropy functional in nonextensive statistical mechanics, provide the missing link between the empirical Vasyliunas kappa distributions and theoretical power-law models of the suprathermal characteristics of astrophysical plasma media.

Kappa分布可以有效地模拟整个日球层宇宙和天体物理等离子体介质中观测到的粒子分布,现已得到广泛应用。本文讨论了在Tsallis非扩展统计力学中自然出现的kappa分布的物理基础和理论依据。这些分布充分描述了非热平衡状态下的稀薄等离子体结构。介绍了理论kappa分布的主要公式,并简要介绍了它们在宇宙等离子体中衰变精细尺度湍流研究中的应用。研究表明,这些由非扩展统计力学中的Tsallis熵泛函推导而来的分布,提供了天体物理等离子体介质超热特性的经验Vasyliunas kappa分布和理论幂律模型之间缺失的联系。
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引用次数: 0
About the Applicability of Stability Criteria to the Orbital Dynamics of Exoplanet Satellites 关于系外行星卫星轨道动力学稳定性准则的适用性
IF 0.8 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-05-02 DOI: 10.1134/S0038094626600204
A. V. Melnikov

By calculating the Lyapunov characteristic exponents in the hierarchical three-body problem (star–planet–planet’s satellite), an analysis of the applicability of a number of criteria for estimating the maximum possible value of the semimajor axis acrit of a satellite’s orbit was carried out, corresponding to its long-term stable orbital dynamics. It has been shown that the empirical criterion from the work (Domingos et al., 2006), which is often used to determine potential orbits of exomoons (satellites of exoplanets), significantly overestimates the value of acrit. In a planar problem for a prograde orbit (the directions of orbital motion of the planet and satellite coincide) of an exomoon, when estimating acrit the criterion proposed by Rosario-Franco et al. (2020) works better, for the retrograde orbit of the exomoon, the criterion from the work (Quarles et al., 2021) works better. If the angle between the orbital planes of the planet and the satellite can be significant (>30°), a reliable estimate for acrit can be obtained by numerical modeling of the long-term orbital dynamics of the exomoon and using rigorous methods of motion stability analysis (calculation of Lyapunov characteristic exponents, the MEGNO parameter, etc.).

通过计算分层三体问题(恒星-行星-行星-卫星)中的李雅普诺夫特征指数,分析了卫星轨道半长轴角最大可能值估计准则的适用性,并与卫星的长期稳定轨道动力学相对应。研究表明,经常用于确定系外卫星(系外行星的卫星)潜在轨道的经验标准(Domingos et al., 2006)明显高估了acrit的价值。对于系外行星的顺行轨道(行星和卫星的轨道运动方向重合)的平面问题,Rosario-Franco等人(2020)提出的准则在估算轨道时效果更好,对于系外行星的逆行轨道,工作(Quarles等人,2021)提出的准则效果更好。如果行星与卫星轨道平面之间的夹角可以达到显著(>30°),则可以通过对系外卫星长期轨道动力学的数值模拟和采用严格的运动稳定性分析方法(计算Lyapunov特征指数、MEGNO参数等)获得可靠的acrit估计。
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引用次数: 0
Analytical Description of Fragment Mass Distributions at Disruption of Cosmic Bodies in the Atmosphere and in Impact Experiments 大气中宇宙天体破裂和撞击实验中碎片质量分布的解析描述
IF 0.8 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-04-18 DOI: 10.1134/S0038094625601124
I. G. Brykina, L. A. Egorova

The mass distributions of unevaporated fragments of meteoroids and asteroids disrupted in the atmosphere, as well as the mass distributions of fragments of bodies disrupted in impact experiments modeling the fragmentation of asteroids at collisions in outer space, are considered. Analytical description of these distributions is carried out using the method (Brykina and Egorova, 2021), which expresses the cumulative number of fragments depending on the fragment mass, the total mass of fragments, the mass and number of maximum fragments and a free parameter—the power index. We described the results of impact experiments on the disruption of the Allende, Mbale, NWA 620, MOR 001 meteorite samples and Mauna Loa basalt samples available in the literature. We constructed and described the distributions of the Bruderheim, Villalbeto de la Peña, St-Robert, and Motopi Pan meteorites, recovered after observed passages of cosmic bodies through the atmosphere, as well as the distributions of meteorites whose falls occurred thousands of years ago: the Gold Basin, Jiddat al Harasis 073, Whitecourt, Campo del Cielo, and Canyon Diablo. The results of the description of experimental distributions confirm the previously proposed analytical dependence of the power index on the specific impact energy. Based on the description of fragment mass distributions for 22 meteorite falls, the dependence of the power index on the number of fragments in a meteorite collection is analyzed. The features of various distributions are pointed out.

考虑了在大气中破碎的流星体和小行星的未蒸发碎片的质量分布,以及在外太空碰撞中模拟小行星破碎的撞击实验中破碎的物体碎片的质量分布。使用(Brykina和Egorova, 2021)的方法对这些分布进行了分析描述,该方法根据碎片质量、碎片总质量、最大碎片的质量和数量以及一个自由参数-功率指数来表示碎片的累积数量。我们描述了文献中对阿连德、Mbale、NWA 620、MOR 001陨石样本和莫纳罗亚玄武岩样本的撞击实验结果。我们构建并描述了Bruderheim, Villalbeto de la Peña, St-Robert和Motopi Pan陨石的分布,这些陨石是在观测到宇宙物体穿过大气层后恢复的,以及几千年前坠落的陨石的分布:Gold Basin, Jiddat al Harasis 073, Whitecourt, Campo del Cielo和Canyon Diablo。实验分布描述的结果证实了先前提出的功率指数对比冲击能的分析依赖。通过对22次陨石落块质量分布的描述,分析了能量指数对陨石落块数量的依赖关系。指出了各种分布的特点。
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引用次数: 0
Determination of the Mercury’s Internal Dipole Parameters using MESSENGER Spacecraft Data 利用信使号航天器数据测定水星内部偶极子参数
IF 0.8 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-04-13 DOI: 10.1134/S0038094625601434
A. S. Lavrukhin, I. I. Alexeev, D. V. Nevsky

Using data on Mercury’s magnetic equatorial plane crossings by the MESSENGER spacecraft, we refine the position of Mercury’s planetary dipole. Magnetic equatorial plane crossings provide precise dipole offsets for each orbit. Using data on the interplanetary magnetic field (IMF) magnitude and direction during MESSENGER flybys, we determine the influence of the IMF on the equatorial plane crossing position and refine the previously determined dipole offset for orbits with insignificant IMF contributions.

利用信使号宇宙飞船在水星磁赤道平面交叉的数据,我们精确地确定了水星行星偶极子的位置。磁赤道平面交叉点为每个轨道提供精确的偶极子偏移量。利用信使号飞越期间的行星际磁场(IMF)大小和方向的数据,我们确定了IMF对赤道平面交叉位置的影响,并改进了先前确定的对IMF贡献不显著的轨道的偶极子偏移量。
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引用次数: 0
Designing Halo Orbits Passing through the Trajectories of Near-Earth Asteroids 设计通过近地小行星轨迹的光晕轨道
IF 0.8 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-04-13 DOI: 10.1134/S0038094625601379
M. V. Pupkov, N. A. Eismont, O. L. Starinova, K. S. Fedyaev, V. A. Zubko, O. S. Chernenko

The paper proposes an approach to constructing orbits in the vicinity of a Sun–Earth libration point, which ensures the approach of a spacecraft to asteroids flying nearby. The use of halo orbits near collinear L1 and L2 libration points, which are located at a distance of one and a half million kilometers from Earth, for the purpose of studying asteroids has three important advantages compared to previously implemented missions. Firstly, the trajectories of potentially hazardous asteroids approaching the Earth may pass by these libration points. Obtaining new scientific information about celestial bodies of this type is the most preferable in the context of the problem of asteroid–comet hazard. Secondly, the asteroid’s approach to both Earth and the spacecraft occurs at close moments in time, which could ensure the latter’s flight at a minimal distance from the surface of the celestial body and lead to the acquisition of fundamentally new data about the object of study. Thirdly, after approaching the asteroid, the spacecraft continues to operate near the libration point and can be used to solve other scientific problems. Using the example of the flight to the asteroids Apophis, 2001 WN5 and 1997 XF11, the results of calculations of such orbits for spacecraft that are already operating near the L2 Sun–Earth libration point are presented (James Webb Space Telescope, Euclid and Spectrum-Roentgen-Gamma). The values of the characteristic velocity required to perform a maneuver of this type demonstrate the potential of the proposed concept.

本文提出了一种在日地振动点附近构造轨道的方法,以保证航天器接近附近飞行的小行星。在距离地球150万公里的共线L1和L2振动点附近使用光环轨道来研究小行星,与以前实施的任务相比,有三个重要的优势。首先,有潜在危险的小行星接近地球的轨迹可能会经过这些振动点。在小行星-彗星危险问题的背景下,获得关于这类天体的新的科学信息是最可取的。其次,小行星接近地球和航天器的时间都很近,这可以确保后者在距离天体表面最小的距离上飞行,从而获得关于研究对象的全新数据。第三,在接近小行星后,航天器继续在振动点附近运行,可用于解决其他科学问题。以飞向小行星阿波菲斯、2001年WN5和1997年XF11为例,给出了已经在L2日地振动点附近运行的航天器的这种轨道的计算结果(詹姆斯·韦伯太空望远镜、欧几里得和光谱-伦琴-伽马)。执行这种机动所需的特征速度值证明了所提出概念的潜力。
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引用次数: 0
Mеthodological Principles for Processing Scientific Data of the Radar Complex RLK-L 雷达复合体RLK-L科学数据处理的方法学原理
IF 0.8 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-04-13 DOI: 10.1134/S0038094625601264
V. N. Marchuk, O. V. Yushkova

To study the surface, dielectric properties and structure of the lunar ground, the radar complex RLK-L is being installed on the Luna-26 orbiter. The complex consists of two radars operating in different frequency ranges. In this paper, we present the main parameters of the radar equipment and discuss the design and methods for processing scientific data.

为了研究月球地面的表面、介电特性和结构,雷达复合体RLK-L正在月球-26轨道器上安装。该综合体由两个在不同频率范围内工作的雷达组成。本文介绍了雷达设备的主要参数,并讨论了科学数据的设计和处理方法。
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引用次数: 0
Possibility of Liquid Water Formation in Icy Bodies Due to the Process of Rapid Recombination of Accumulated Radicals 冰体中积累自由基快速重组形成液态水的可能性
IF 0.8 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-04-13 DOI: 10.1134/S0038094625601355
A. K. Pavlov, G. A. Kucherov, A. Y. Merkulova

Active energy-release processes with uncertain energy sources have been observed on various icy bodies in the Solar System. In this paper, we consider a spontaneous recombination of radicals accumulated in water ice as a potential energy source, which could lead to liquid water formation beneath an icy body’s surface. We simulated the propagation of the recombination process through a small, 1-km-radius icy body with an initial temperature of 10 K consisting of amorphous ice, dust, and volatile gases trapped in the amorphous ice. Our results show that the recombination front rapidly propagates throughout the body, outrunning all other processes, including gas diffusion. If a sufficient concentration of radicals accumulates, the temperature and the pressure behind the recombination front could be sufficient to the formation of liquid water inside the icy body. The time during which these conditions can be maintained inside the body is determined by the diffusion of the gases released from the amorphous ice. For a 1-km body with a porosity of 0.65 and a dust-to-ice mass ratio of 1, this time is approximately 50 years. The recombination process weakly depends on the initial temperature of the icy body and can occur at very large heliocentric distances, including comets in the Oort cloud.

在太阳系的各种冰体上观测到能量来源不确定的主动能量释放过程。在本文中,我们认为积累在水冰中的自由基的自发重组是一种潜在的能量来源,这可能导致冰体表面下形成液态水。我们模拟了复合过程在一个初始温度为10 K、半径为1 km的小冰体中的传播,该冰体由非晶冰、尘埃和非晶冰中的挥发性气体组成。我们的研究结果表明,重组锋面在全身迅速传播,超过了包括气体扩散在内的所有其他过程。如果自由基的浓度足够高,复合锋后的温度和压力就足以在冰体内部形成液态水。这些条件能够在体内维持的时间是由从非晶冰中释放的气体的扩散决定的。对于一个直径1公里、孔隙率为0.65、尘冰质量比为1的天体来说,这个时间大约是50年。重组过程对冰体初始温度的依赖性很弱,并且可以发生在非常大的日心距离上,包括奥尔特云中的彗星。
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引用次数: 0
Application of Artificial Neural Networks to Identify Orbital Resonances in the Motion of Artificial Earth Satellites 人工神经网络在人造地球卫星轨道共振识别中的应用
IF 0.8 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-04-13 DOI: 10.1134/S0038094625601197
S. Wijaya, I. V. Tomilova, T. V. Bordovitsyna

Traditional manual analysis of graphical data reflecting the behavior of critical arguments of orbital resonances is a very labor-intensive process. To address this problem, an attempt was made to apply convolutional neural networks (CNNs) to automatically classify orbital resonances based on graphical representations of critical arguments. It is shown that the model trained on the resonance argument plots obtained for objects from the 1 : 2 orbital resonance region demonstrated high accuracy on test data from this resonance region but showed a significant decrease in performance when applied to other resonance regions of 2 : 1 and 3 : 1 due to the presence of previously unseen graphical examples. After retraining the model on a more diverse dataset including all three resonance regions investigated, a more accurate model was developed, achieving an average classification accuracy of 98%. The study not only confirmed the high effectiveness of CNN for automating resonance classification but also highlighted the critical importance of using a diverse training dataset to build a highly accurate classification model.

传统的手工分析反映轨道共振关键参数行为的图形数据是一个非常劳动密集型的过程。为了解决这个问题,尝试应用卷积神经网络(cnn)基于关键参数的图形表示来自动分类轨道共振。结果表明,在1:1轨道共振区域获得的物体的共振参数图上训练的模型在该共振区域的测试数据上显示出较高的准确性,但由于存在以前未见过的图形样例,当应用于2:1和3:1的其他共振区域时,表现出明显的性能下降。在更多样化的数据集(包括所调查的所有三个共振区域)上重新训练模型后,开发出更准确的模型,平均分类准确率达到98%。该研究不仅证实了CNN在自动共振分类方面的高效,同时也强调了使用多样化的训练数据集来构建高度精确的分类模型的重要性。
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引用次数: 0
The Fusion Crust of Meteorites is the Result of Changes in the Meteoroid Material under the Influence of Atmospheric Ablation 陨石的熔合壳是在大气烧蚀作用下流星体物质发生变化的结果
IF 0.8 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-04-13 DOI: 10.1134/S0038094625601239
E. V. Petrova, V. I. Grokhovsky

The paper provides an overview of the phenomenon of “fusion crust of chondrites.” The processes of crust formation, ablation, emission and registration of radiation spectra, the phase and structural composition of the fusion crust substance in comparison with the internal substance, and experiments with a plasma torch to model ablation processes are considered. It was shown that preliminary characterization of meteorite matter is possible based on the recorded spectrum of their bolides. Information is provided on the transformation of the composition of meteorite matter as a result of ablation and confirmation of the possibility of accumulation of elements heavier than Ni and Co in the fusion crust of ordinary chondrites. The decrease in the content of iron-containing phases in the fusion crust and changes in the composition of silicates are consistent with the spectral data of experimental ablation and the spectra of fireballs.

本文综述了“球粒陨石融合壳”现象。考虑了地壳的形成过程、烧蚀过程、辐射光谱的发射和配准过程、熔融地壳物质的相和结构组成与内部物质的比较以及用等离子体炬模拟烧蚀过程的实验。结果表明,根据所记录的陨星物质的光谱,对陨星物质进行初步表征是可能的。提供了由于烧蚀而导致的陨石物质组成转变的信息,并证实了在普通球粒陨石的融合壳中可能积累比Ni和Co更重的元素。熔合壳中含铁相含量的下降和硅酸盐成分的变化与实验烧蚀光谱数据和火球光谱一致。
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引用次数: 0
Non-Hydrostatic Stresses in the Interior of Venus beneath the Atla and Beta Regions 在阿特拉和贝塔区域之下的金星内部的非流体静力应力
IF 0.8 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-04-13 DOI: 10.1134/S0038094625601148
A. V. Batov, T. V. Gudkova

The stresses in the interior of Venus beneath the Atla and Beta regions were calculated. We presented the distribution of non-hydrostatic stresses in the interior of Venus based on a joint interpretation of topography data and the nonequilibrium part of the gravitational field. A system of elastic equilibrium equations for a self-gravitating planet using topography and gravitational field data is solved on a grid with a resolution of 1° × 1° in latitude and longitude. Tensile stresses reach 20–30 MPa to the north and east of Beta region and to the northwest and south of Atla region, while shear stresses exceed 30 MPa in the central parts of the uplifts.

计算了在阿特拉区和贝塔区之下金星内部的应力。基于地形数据和引力场的非平衡部分的联合解释,我们提出了金星内部非流体静力应力的分布。利用地形和引力场数据,在经纬度分辨率为1°× 1°的网格上求解了自重力行星的弹性平衡方程组。贝塔地区北部和东部、阿特拉地区西北部和南部的拉应力达到20 ~ 30 MPa,隆升中部的剪切应力超过30 MPa。
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引用次数: 0
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Solar System Research
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