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Study of the Variability of the Galactic Cosmic Ray Flux Based on Data from the MGNS (ESA–JAXA BepiColombo), HEND (NASA Mars Odyssey), and LEND (NASA LRO) Experiments 基于MGNS (ESA-JAXA BepiColombo)、HEND (NASA火星奥德赛)和LEND (NASA LRO)实验数据的银河宇宙射线通量变异性研究
IF 0.7 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-10-13 DOI: 10.1134/S0038094626600629
A. S. Kozyrev, V. D. Gubarev, I. G. Mitrofanov, A. B. Sanin, M. L. Litvak

Based on data from the MGNS neutron detector on board the BepiColombo spacecraft from 2019 to 2024, we analyzed the neutron flux produced by the interaction of galactic cosmic ray (GCR) protons with the spacecraft materials. A comparison was made with data from the HEND detector on board the Mars Odyssey spacecraft and the LEND detector on board the Lunar Reconnaissance Orbiter (LRO). It has been shown that as solar activity increased, the flux of secondary neutrons from the Moon and Mars decreased by ~50%, while the neutron flux from the materials of the BepiColombo spacecraft decreased by ~64%. The obtained data are interpreted as evidence of a stronger modulation by solar activity of the low-energy (E ≲ 1 GeV/nucleon) component of GCR compared to the high-energy component.

基于BepiColombo航天器上的MGNS中子探测器2019 - 2024年的数据,我们分析了银河宇宙射线(GCR)质子与航天器材料相互作用产生的中子通量。与火星奥德赛号航天器上的HEND探测器和月球勘测轨道器(LRO)上的LEND探测器的数据进行了比较。结果表明,随着太阳活动的增加,来自月球和火星的次级中子通量减少了约50%,而来自BepiColombo航天器材料的中子通量减少了约64%。所得数据被解释为太阳活动对GCR的低能(E > 1 GeV/核子)组分的调制强于高能组分的证据。
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引用次数: 0
Erratum to: Approach of the Orion’s Sword Complex (NGC 1977, NGC 1980, NGC 1981, M 42) and the Exoplanetary System TOI-2796 对猎户座剑复合体(NGC 1977, NGC 1980, NGC 1981, m42)和系外行星系统TOI-2796的勘误
IF 0.7 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-10-13 DOI: 10.1134/S0038094626600873
L. A. Maksimova, M. D. Sizova, S. V. Vereshchagin
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引用次数: 0
Estimate of the Input of Suprathermal Oxygen Atoms to the Atmospheric Drag of Low-Earth-Orbiting-Eartn-Satellites 超热氧原子输入对低地球轨道-地球-卫星大气阻力的估计
IF 0.7 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-10-13 DOI: 10.1134/S0038094626600824
V. I. Shematovich, A. G. Zhilkin, G. N. Tsurikov, D. V. Bisikalo

Suprathermal particles form in the Earth’s upper atmosphere with energies an order of magnitude greater than the average kinetic energy of surrounding gas particles. In the polar regions, the main mechanism for the formation of such particles is due to the precipitation of auroral electrons of magnetospheric origin. Intense formation of suprathermal oxygen atoms Oh during geomagnetic storms can cause additional braking of low-Earth orbiting (LEO) satellites in polar orbits due to the high accommodation of these atoms with the satellite surface. During extreme solar events, these processes can significantly reduce the accuracy of LEO satellite dynamics forecasts based on empirical upper-atmosphere models. Therefore, theoretical calculations using kinetic models are particularly relevant when analyzing such events. In this paper, we evaluate the contribution of suprathermal oxygen atoms to the atmospheric drag of LEO satellite in polar orbits during extreme geomagnetic storms. To this end, (a) the kinetics of Oh formation and transport in the upper atmosphere are calculated and (b) the motion of LEO satellite in the disturbed atmosphere is modeled. Based on calculation results, it has been established for the first time that, due to the influence of suprathermal oxygen atoms produced in large quantities during extreme geomagnetic storms, the positions of LEO satellite at altitudes of 400–800 km can deviate from those predicted by empirical models by up to 5 m in altitude and up to 350 m along the orbit. These deviations amount to 40% (for satellite with an orbital altitude of 400 km) to 300% (for orbital altitudes of approximately 800 km) of the typical errors of the predictive models. This demonstrates the need to account for suprathermal particles and utilize kinetic models to accurately predict the motion of LEO satellite during extreme solar events.

在地球上层大气中形成的超热粒子,其能量比周围气体粒子的平均动能大一个数量级。在极地地区,这种粒子形成的主要机制是由于磁层起源的极光电子的沉淀。在地磁风暴期间,超热氧原子的强烈形成会导致极地轨道上的低地球轨道(LEO)卫星的额外制动,因为这些原子与卫星表面的高度调节。在极端太阳事件期间,这些过程会显著降低基于经验高层大气模式的LEO卫星动力学预报的精度。因此,在分析此类事件时,使用动力学模型进行理论计算尤为重要。本文研究了极端地磁风暴期间,超热氧原子对极轨LEO卫星大气阻力的贡献。为此,(a)计算了上层大气中Oh形成和输运的动力学,(b)模拟了LEO卫星在扰动大气中的运动。根据计算结果,首次确定了由于极端地磁风暴期间大量产生的超热氧原子的影响,400-800 km高度的近地轨道卫星位置与经验模型预测的高度偏差可达5 m,沿轨道偏差可达350 m。这些偏差相当于预测模式典型误差的40%(轨道高度为400公里的卫星)至300%(轨道高度约为800公里的卫星)。这表明需要考虑超热粒子,并利用动力学模型来准确预测极端太阳事件期间LEO卫星的运动。
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引用次数: 0
Titan Gravity and Tidal Love Number Simulation: Synthetic Observations of Cassini and Tianwen Titan Orbits 土卫六重力和潮爱数模拟:卡西尼号和天文学家轨道的综合观测
IF 0.7 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-10-13 DOI: 10.1134/S0038094626600654
Hongxing Zhang, Zohaib Afzal, Jianguo Yan, Shangbiao Sun, Jean-Pierre Barriot

This study evaluates how a future Tianwen-Titan orbiter could improve Titan gravity-field and tidal Love-number recovery when combined with a Cassini-based simulated tracking baseline. A multi-arc covariance framework implemented with the Tudat astrodynamics toolbox is used to compare two representative orbiter geometries: a 40° mid-inclination orbit for repeated low- and mid-latitude sampling and a 90° polar orbit for global latitudinal coverage. For periapsis altitudes of 1500 and 1000 km, the lower-altitude cases extend the recoverable gravity spectrum from 10°–11° to 12°–15°. At 1500 km, the 40° configuration reduces the formal uncertainty of k2 from about 0.067–0.070 in the Cassini baseline to approximately 0.002 and improves C22 to about 0.0025 × 10–6. The 90° configuration more strongly constrains odd zonal harmonics, reducing J3 and J5 uncertainties by factors of about 10 and 24. These results indicate that mid-inclination and polar orbiters provide complementary sensitivity for future Titan gravity science and interior structure interpretation.

这项研究评估了未来的天文-土卫六轨道飞行器如何在结合基于卡西尼的模拟跟踪基线的情况下改善土卫六重力场和潮汐勒夫数恢复。使用Tudat天体动力学工具箱实现的多弧协方差框架来比较两种具有代表性的轨道几何形状:用于重复低纬度和中纬度采样的40°中倾角轨道和用于全球纬度覆盖的90°极地轨道。在海拔1500和1000 km处,较低海拔情况下,可采重力谱从10°~ 11°扩展到12°~ 15°。在1500公里处,40°的配置将k2的形式不确定性从卡西尼基线的约0.067-0.070降低到约0.002,并将C22提高到约0.0025 × 10-6。90°结构更强烈地约束了奇次纬向谐波,使J3和J5的不确定性分别降低了10和24倍。这些结果表明,中倾角轨道器和极地轨道器为未来的土卫六重力科学和内部结构解释提供了互补的灵敏度。
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引用次数: 0
Polarimetric and Photometric Characteristics of the Interstellar Comet 3I/ATLAS: Main Features 星际彗星3I/ATLAS的偏振光度特征:主要特征
IF 0.7 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-10-13 DOI: 10.1134/S0038094626600678
N. Kiselev, M. Shcherbina, D. Petrov, E. Zhuzhulina, M. Chazov, N. Karpov, A. Shein, A. Salakhotdinova, I. Sokolov, D. Andreev, N. Kapitanov, G. Dyachenko

The aim of this study is to determine the polarimetric and photometric characteristics of the interstellar comet 3I/2025 N1 (ATLAS), as well as to model the physical properties of particles in its coma. Observations of the comet were carried out using the POLSHAKH polarimeters on the 2.6-m telescope of the Crimean Astrophysical Observatory, the telescope Zeiss-2000 of shared research facility “Terskol observatory” of Institute of Astronomy of the RAS, and the SCORPIO-2 instrument on the 6-m telescope of the Special Astrophysical Observatory during the period from November 18, 2025 to January 26, 2026.The following main results were obtained.• Among all comets observed to date, comet 3I/ATLAS showed the highest absolute values of the degree of linear polarization on the negative and positive branches of the phase curve. The following parameters of the polarization phase curve were determined: Pmin = –3.01% ± 0.05%, αmin = 5.46° ± 0.05°, polarimetric slope h = 0.53 ± 0.01 (% per angular degree) and inversion angle αinv = 17.6° ± 0.8°.• The spectral polarization gradient ΔP(λ)/Δλ = 0.004 ± 0.001 (% per nm) at a phase angle of about 25°. This is less than the average spectral polarization gradient of 0.008 (% per nm) for comets in the Solar System.• In November 2025, the B–V, V–R, and R–I colors were ≈0.4m, and g–r = 0.71m.• Dust productivity Afρ amounted to 5461 ± 70 cm for the r‑sdss filter and a coma diameter of 22696 km at a heliocentric distance of 1.710 AU.• The best fit to the observed polarization phase curve is achieved by modeling conjugate random Gaussian particles with roughness (G_{{50}}^{7}left( {0.5} right)) for a particle mixture consisting of 95% amorphous carbon, 4.5% magnesium-rich silicates, and 0.5% water ice.

本研究的目的是确定星际彗星3I/2025 N1 (ATLAS)的偏振和光度特征,并模拟其昏迷中粒子的物理性质。从2025年11月18日至2026年1月26日,在克里米亚天体物理天文台2.6米望远镜上使用POLSHAKH偏光计,在俄罗斯科学院天文研究所“Terskol天文台”共享研究设施蔡司-2000望远镜上使用蔡司-2000望远镜,在特殊天体物理天文台6米望远镜上使用天蝎座-2仪器对彗星进行了观测。得到了以下主要结果。•在迄今观测到的所有彗星中,彗星3I/ATLAS在相位曲线的负分支和正分支上显示出最高的线极化度绝对值。确定了极化相位曲线的以下参数:Pmin = -3.01% ± 0.05%, αmin = 5.46° ± 0.05°, polarimetric slope h = 0.53 ± 0.01 (% per angular degree) and inversion angle αinv = 17.6° ± 0.8°.• The spectral polarization gradient ΔP(λ)/Δλ = 0.004 ± 0.001 (% per nm) at a phase angle of about 25°. This is less than the average spectral polarization gradient of 0.008 (% per nm) for comets in the Solar System.• In November 2025, the B–V, V–R, and R–I colors were ≈0.4m, and g–r = 0.71m.• Dust productivity Afρ amounted to 5461 ± 70 cm for the r‑sdss filter and a coma diameter of 22696 km at a heliocentric distance of 1.710 AU.• The best fit to the observed polarization phase curve is achieved by modeling conjugate random Gaussian particles with roughness (G_{{50}}^{7}left( {0.5} right)) for a particle mixture consisting of 95% amorphous carbon, 4.5% magnesium-rich silicates, and 0.5% water ice.
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引用次数: 0
Estimation of the Risk of Asteroid Impact with the Earth Using the Initial Confidence Density 用初始置信密度估计小行星撞击地球的风险
IF 0.7 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-09-22 DOI: 10.1134/S0038094626600356
A. P. Baturin

A method has been developed for compressing part of the cloud of virtual trajectories of an asteroid. The method is based on the use of a probability density defined in the confidence region of the initial motion parameters. The method is designed to increase the number of points in the vicinity of collision points in the initial trajectory dispersion. To find these points, the method of conditional minimization of the confidence coefficient is used. The filling is carried out by constructing a six‑dimensional rectangle in the vicinity of the collision points, using the averaged value of the confidence probability density at these points. The method has been tested by estimating the probability of collision of three potentially hazardous asteroids approaching Earth.

已经开发了一种压缩部分小行星虚拟轨迹云的方法。该方法基于在初始运动参数置信区域定义的概率密度。该方法旨在增加初始弹道弥散中碰撞点附近的点数。为了找到这些点,使用了条件最小化置信度系数的方法。填充是通过在碰撞点附近构造一个六维矩形来进行的,使用这些点的置信概率密度的平均值。该方法已经通过估计三颗潜在危险小行星接近地球的碰撞概率进行了测试。
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引用次数: 0
Near-Surface Lunar Plasma Characteristics Derived from Chandrayaan-3 RAMBHA-LP Measurements 月船3号RAMBHA-LP测量得出的月球近表面等离子体特性
IF 0.7 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-09-22 DOI: 10.1134/S0038094626600599
Purnima Kumari

We present an independent analysis of near-surface lunar plasma parameters derived from the RAMBHA-LP payload aboard the Chandrayaan-3 lander during daytime operations from August 24 to September 3, 2023. Although Manju et al. (2025) already provided a detailed characterization using RAMBHA-LP measurements combined with ionospheric modeling, the present work re-examines the plasma conditions using a fully reproducible Python-based workflow applied to publicly available sweep data. Electron temperature and electron density are obtained from current–voltage characteristics, assuming orbital-motion-limited collection by a spherical probe. The plasma potential is determined from the peak in the current derivative, and fixed voltage intervals in the electron-retarding region are used for log–linear fits to estimate temperature and density. To ensure reliable parameter extraction, we apply a normalized root mean square error criterion in log-current space, rejecting sweeps with values above 0.20. The derived electron temperatures mostly range from 3000 to 13 000 K, with 2-h averages reaching about 10 000 to 13 000 K, while daytime electron densities typically fall between approximately 200 and 430 cm–3 and occasionally approach 600 cm–3. These results are broadly consistent with previous RAMBHA-LP findings. In addition, we evaluate how fit-window selection, error thresholds, and temporal averaging influence the retrieved values, showing that the overall time evolution of the plasma remains robust. The open-source workflow and validated time series offered here provide a reusable baseline for future studies of lunar surface charging and plasma–surface interactions relevant to exploration systems.

本文对月船3号着陆器上RAMBHA-LP载荷在2023年8月24日至9月3日日间运行期间获得的近地表等离子体参数进行了独立分析。尽管Manju等人(2025)已经使用RAMBHA-LP测量结合电离层建模提供了详细的表征,但目前的工作使用完全可重复的基于python的工作流重新检查了等离子体条件,该工作流应用于公开可用的扫描数据。电子温度和电子密度由电流-电压特性得到,假设球形探针的轨道运动受限收集。等离子体电位由电流导数的峰值确定,电子延迟区的固定电压区间采用对数线性拟合来估计温度和密度。为了确保可靠的参数提取,我们在对数电流空间中应用标准化的均方根误差准则,拒绝值大于0.20的扫描。得到的电子温度大多在3000至13000 K之间,2小时平均温度约为10000至13000 K,而白天的电子密度通常在200至430 cm-3之间,偶尔接近600 cm-3。这些结果与先前的RAMBHA-LP研究结果大致一致。此外,我们评估了拟合窗口选择、误差阈值和时间平均如何影响检索值,表明等离子体的整体时间演变仍然是稳健的。这里提供的开源工作流程和经过验证的时间序列为未来研究月球表面充电和与探测系统相关的等离子体表面相互作用提供了可重复使用的基线。
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引用次数: 0
Spatial Distribution and Evolution of Volcanic Centers in Ulfrun and Beta Regiones on Venus 金星Ulfrun和Beta地区火山中心的空间分布与演化
IF 0.7 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-09-22 DOI: 10.1134/S0038094626600587
D. G. Malyshev, M. A. Ivanov, V. E. Rozhin, A. S. Shimolina

Based on radar images and topographic data from the Magellan mission, a comparative study of coronae and large volcanoes in Ulfrun and Beta Regiones on Venus has been performed. The geological context of the areas, the spatial distribution of volcanic centers, the morphology of coronae and large volcanoes, and the stratigraphic relationships between them and the surrounding structures are considered. It is shown that in Ulfrun Regio, central volcanism is closely associated with rift zones, whereas in Beta Regio it also occurs outside of rift-related settings. Morphological comparison shows that coronae in both study areas have a similar set of structural elements but differ in the expression of radial deformation and the scale of lava fields. Large volcanoes in both areas are associated with extensive lava fields; however, in Ulfrun Regio they are more often confined to rift zone branches, while in Beta Regio individual centers demonstrate more independent development. The obtained data indicate a multi-stage evolution of central volcanism and allow the differences between the areas to be interpreted as a result of different structural controls and crustal structure.

基于麦哲伦任务的雷达图像和地形数据,对金星Ulfrun和Beta地区的日冕和大型火山进行了比较研究。考虑了该地区的地质背景、火山中心的空间分布、日冕和大型火山的形态以及它们与周围构造的地层关系。结果表明,在乌尔润地区,中央火山活动与裂谷带密切相关,而在贝塔地区,中央火山活动也发生在裂谷相关环境之外。形态对比表明,两个研究区日冕具有相似的构造要素,但在径向变形表达和熔岩场规模上存在差异。这两个地区的大型火山都与广阔的熔岩场有关;然而,在乌伦地区,它们更多地局限于裂谷带分支,而在贝塔地区,单个中心表现出更独立的发展。所获得的数据表明,中心火山作用的演化是多阶段的,并允许将不同地区之间的差异解释为不同的构造控制和地壳结构的结果。
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引用次数: 0
Earth’s Biosphere Atmospheric Transport: A Key to Venus’s Biosphere 地球生物圈大气运输:金星生物圈的关键
IF 0.7 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-09-10 DOI: 10.1134/S0038094626600538
M. V. Ragulskaya, V. N. Snytnikov

The mechanism of explosive mutations of pathogenic viruses during low solar activity at the minima of various solar cycles is examined, coupled with the low effectiveness of virus pandemic social lockdowns. A hypothesis is proposed for atmospheric circulation and virus mutations linked to solar activity and cosmic ray cycles. Several stages of viral migration and mutation are proposed: the ascent of viruses with aero plankton into the atmosphere to altitudes of up to 11–15 km, their mutation under the influence of cosmic rays and shortwave solar radiation, and the subsequent precipitation of mutated viruses to the Earth’s surface via rain at distances of up to 2500–3000 km from the initial outbreak virus site. At an altitude of 5 km, the bioefficiency and mutational impact of cosmic rays increases tenfold, and at altitudes of 11 km, it increases 100-fold. At the same time, localized long-lived areas with increased virus concentrations (or stable fluxes) arise in the troposphere layers of the atmosphere and the tropopause, subject to the constant active mutational impact of solar and galactic cosmic rays, as well as ultraviolet and X-ray radiation from the Sun. The cyclical nature of mutations is tied to solar cycle extrema: peaks in solar cosmic rays and shortwave solar radiation at the solar cycle maximum and peaks in galactic cosmic rays at the solar cycle minimum. Subsequent concentration of moisture on aeroplankton during cloud formation facilitates subsequent precipitation, which carries mutated virus and bacterial colonies in the upper troposphere back into the near-surface atmosphere, soil, and water bodies. This mechanism ensures atmospheric circulation and mutations of viruses/aeroplankton and triggers the emergence of viral pandemics at any solar activity extrema, including the minima of solar activity cycles of various scales, from the 11-year cycle to the centennial one. The atmospheric circulation of pathogenic viruses and their mutations explains the low effectiveness of social terrestrial lockdowns during viral pandemics. The discussed mechanism of atmospheric circulation transport, cyclicity, and mutations of atmospheric bioplankton may be highly promising for constructing models of a possible atmospheric biosphere on Venus, and for the development of the Russian Venera-D space mission. The Venusian atmosphere has a wide range of pressures and temperatures, structured, stable macrocirculation, and a distinct separation of the boundaries of different environments, which allows for the effective, sustainable formation, development, and transfer of diverse ecological niches within the planet’s atmosphere.

在各种太阳活动周期最小的太阳活动低期间,再加上病毒大流行社会封锁的低有效性,研究了致病性病毒爆发突变的机制。提出了与太阳活动和宇宙射线周期有关的大气环流和病毒突变的假设。提出了病毒迁移和突变的几个阶段:病毒与浮游空气一起上升到高达11-15公里的大气高度,它们在宇宙射线和短波太阳辐射的影响下发生突变,随后突变病毒通过雨水在距离最初爆发病毒地点高达2500-3000公里的地方沉淀到地球表面。在海拔5公里处,宇宙射线的生物效率和突变影响增加了10倍,在海拔11公里处,增加了100倍。与此同时,在大气层对流层和对流层顶出现了病毒浓度增加(或通量稳定)的局部长寿命区域,受到太阳和银河宇宙射线以及太阳紫外线和x射线的持续活跃突变影响。突变的周期性与太阳周期极端有关:太阳宇宙射线和短波太阳辐射的峰值出现在太阳周期最大值,银河宇宙射线的峰值出现在太阳周期最小值。在云的形成过程中,随后在浮游生物上的水分浓度有利于随后的降水,从而将对流层上层的变异病毒和细菌菌落带回近地表大气、土壤和水体。这一机制确保了大气环流和病毒/浮游生物的突变,并在任何太阳活动极值期,包括从11年周期到百年周期的各种尺度太阳活动周期的极小期,触发了病毒大流行的出现。致病性病毒及其突变的大气环流解释了在病毒大流行期间社会陆地封锁的低有效性。所讨论的大气环流输送、循环性和大气浮游生物突变的机制,对于构建金星可能的大气生物圈模型和俄罗斯金星- d太空任务的发展具有重要的前景。金星大气具有广泛的压力和温度范围,结构稳定的大环流,以及不同环境边界的明显分离,这使得地球大气中各种生态位的有效,可持续的形成,发展和转移成为可能。
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引用次数: 0
Statistical Analysis and Neural Network Approximation of Mass-Optimal, Free-Final-Time Trajectories Using Kolmogorov–Arnold Networks for Multi-Target Rendezvous Planning 基于Kolmogorov-Arnold网络的质量最优自由最后时间轨迹的统计分析和神经网络逼近
IF 0.7 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-09-10 DOI: 10.1134/S0038094626600496
Zhuojin Li, V. V. Koryanov

This paper addresses the statistical analysis and prediction of characteristics for mass-optimal, free-final-time (MOFFT) transfer trajectories of spacecraft equipped with electric propulsion systems. Transitioning from single-target flybys to multi-target asteroid missions requires evaluating numerous orbital transfer options. Classical indirect methods for solving MOFFT trajectory problems suffer from severe sensitivity of the boundary value problem to the initial guess of costate variables. To overcome this, a two-level parameter homotopy continuation scheme is proposed. This approach enabled the generation of a large-scale dataset and, through subsequent statistical analysis, the determination of an optimal empirical coefficient k to achieve an efficient balance between propellant consumption and flight time. To resolve the absence of an a priori initial guess when solving boundary value problems, a proxy model based on Fast Kolmogorov–Arnold Networks (FastKAN) was developed. It is demonstrated that incorporating FastKAN significantly enhances the convergence probability of the numerical shooting method without requiring a priori approximations. The trained FastKAN model is integrated into a beam search algorithm to plan multi-target rendezvous sequences. This approach is shown to nearly double the number of visited asteroids, given identical resource constraints, compared to planning based on time-optimal trajectories, thereby ensuring high ballistic efficiency and increasing the potential scientific value of the designed missions.

研究了电力推进航天器质量最优自由最后时刻(MOFFT)传递轨迹特性的统计分析与预测。从单目标飞越到多目标小行星任务的过渡需要评估许多轨道转移方案。经典的求解MOFFT轨迹问题的间接方法存在边值问题对协态变量初始猜测的严重敏感性。为了克服这一问题,提出了一种两级参数同伦延拓方案。这种方法能够生成大规模数据集,并通过随后的统计分析确定最佳经验系数k,以实现推进剂消耗和飞行时间之间的有效平衡。为了解决边值问题中缺乏先验初始猜测的问题,提出了一种基于Fast Kolmogorov-Arnold网络(FastKAN)的代理模型。结果表明,在不需要先验近似的情况下,引入FastKAN显著提高了数值射击方法的收敛概率。将训练后的FastKAN模型集成到波束搜索算法中,规划多目标交会序列。与基于时间最优轨迹的规划相比,在相同的资源约束下,这种方法可以使访问小行星的数量增加近一倍,从而确保高弹道效率并增加设计任务的潜在科学价值。
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