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SPTN: Transformer-based spacecraft pose estimation network for space objects tracking SPTN:用于空间目标跟踪的基于变压器的航天器姿态估计网络
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-10-01 DOI: 10.1007/s42064-024-0260-2
Yunting Gui, Yifan Qi, Xueming Xiao, Boyu Lin, Hutao Cui, Xiangyu Huang

In this work, we presents a novel transformer-based spacecraft pose estimation network, SPTN, for space-object tracking. SPTN consists of a transformer-based backbone with the proposed WBlock module, an innovative neck structure, LBiFPN, and a multitask head. Such a framework will be more effective in feature extraction and fusion while maintaining a lightweight structure compared to CNN-based methods. The proposed WBlock is embedded with window partitioning and hierarchical attention mechanisms to enhance feature extraction. The novel LBiFPN neck module is designed to fuse features at different levels, facilitating a deeper feature integration. Extensive experiments are conducted on the SPEED+ and SHIRT datasets to evaluate the performance of the proposed method. The results show that our SPTN model achieved competitive detection accuracy compared to current state-of-the-art methods while maintaining minimum parameters.

在这项工作中,我们提出了一种新的基于变压器的航天器姿态估计网络SPTN,用于空间目标跟踪。SPTN由基于变压器的主干网(采用WBlock模块)、创新的颈部结构、LBiFPN和多任务头部组成。与基于cnn的方法相比,该框架在保持轻量级结构的同时,在特征提取和融合方面更加有效。本文提出的WBlock嵌入了窗口划分和分层关注机制,以增强特征提取。新颖的LBiFPN颈部模块旨在融合不同层次的特征,促进更深层次的特征集成。在SPEED+和SHIRT数据集上进行了大量的实验来评估所提出方法的性能。结果表明,与目前最先进的方法相比,我们的SPTN模型在保持最小参数的同时实现了具有竞争力的检测精度。
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引用次数: 0
Intelligent strategy resolution methods and mechanism analysis in two-on-one impulsive orbital pursuit–evasion games 二对一脉冲轨道追逃博弈智能策略解析方法及机制分析
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-09-30 DOI: 10.1007/s42064-025-0262-8
Liran Zhao, Qinbo Sun, Zhaohui Dang

This paper conducts a comprehensive study on the multi-constrained two-on-one impulsive orbital pursuit–evasion game (OPEG). Firstly, considering constraints such as maneuverability, fuel reserves, and mission duration, a mathematical game model for the two-on-one impulsive OPEG is established, which transforms the two-on-one impulsive OPEG, where cooperation and competition coexist, into a multi-constrained three-party optimization problem suitable for solving with multi-agent deep reinforcement learning. Then, an intelligent solution method for cooperative game strategies based on the Multi-Agent Deep Deterministic Policy Gradient (MADDPG) algorithm is proposed. In the reward function design section, a reward function based on fixed-time triggering is introduced to address the information loss problem caused by long impulse intervals. To ensure good convergence of the algorithm and guide the spacecraft to learn effective cooperative strategies during training, an immediate reward function is designed, incorporating outcome rewards, guidance rewards, and cooperative rewards. Numerical simulations validate the feasibility and effectiveness of the proposed method. To further analyze the cooperative mechanisms learned by the spacecraft during algorithm training, a comparative experiment with the one-on-one impulsive OPEG is designed. The experimental results demonstrate that the two pursuers in the two-on-one impulsive OPEG not only develop various strategies such as “pre-emptive interception”, “pincer interception”, and “trailing pursuit” during training, but also improve mission success rates and reduce mission durations through coordinated efforts. Additionally, this paper reveals the impact of the relative initial state distribution between the two pursuing spacecraft and the evading spacecraft on the effectiveness of cooperation.

本文对多约束二对一脉冲轨道追逃对策(OPEG)进行了全面的研究。首先,考虑机动性、燃料储备、任务持续时间等约束,建立了二对一脉冲OPEG的数学博弈模型,将合作与竞争并存的二对一脉冲OPEG转化为适合多智能体深度强化学习求解的多约束三方优化问题;然后,提出了一种基于多智能体深度确定性策略梯度(madpg)算法的合作博弈策略智能求解方法。在奖励函数设计部分,引入了一种基于定时触发的奖励函数,解决了长脉冲间隔造成的信息丢失问题。为了保证算法的良好收敛性,引导航天器在训练过程中学习有效的合作策略,设计了即时奖励函数,包括结果奖励、指导奖励和合作奖励。数值仿真验证了该方法的可行性和有效性。为了进一步分析航天器在算法训练过程中学习到的合作机制,设计了与单对单脉冲OPEG的对比实验。实验结果表明,二对一脉冲OPEG中,两个追踪者在训练过程中不仅制定了“先发制人拦截”、“钳形拦截”、“尾随追击”等多种策略,而且通过协同努力,提高了任务成功率,缩短了任务持续时间。此外,本文还揭示了追逐航天器和逃避航天器之间的相对初始状态分布对合作有效性的影响。
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引用次数: 0
Concurrent optimization of modular robots for planetary landforms: A terrain-guided approach based on STGCN-GA 行星地形模块化机器人并行优化:基于STGCN-GA的地形制导方法
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-09-29 DOI: 10.1007/s42064-024-0259-8
Peng Zhao, Meibao Yao, Xueming Xiao, Hutao Cui

Modular robots can adapt to various task scenarios and environments by rearranging their structural components and dimensions. However, their potential for versatility has not been fully explored in nonlaboratory environments, particularly on unstructured planetary terrains. This difficulty lies in the fact that the morphology and behavior of modular robots are highly intertwined with the terrain on which they stand. Achieving a concurrent design of robot configuration and motion strategy is essential to preserve the optimality of the reconfiguration schemes, as the completeness of the solution space can only be guaranteed if both are considered simultaneously. However, it is also challenging owing to the enormous joint candidate space. Existing research based on evolutionary algorithms, machine learning, or hybrid methods suffer from a range of limitations such as low goal-orientation and inadequate feature utilization. To this end, we incorporate a terrain-guided module and the spatio-temporal graph convolutional network architecture into the co-optimization framework to guide the optimization using agent features in both the spatial and temporal dimensions, which further accelerates the search and enhances the adaptability of modular robots. We conducted simulations using the Webots platform to validate our proposed method. Comparative studies showed that our framework produced reconfiguration schemes that exhibit highly efficient and appropriate morphology and behavioral adaptations toward several terrains.

模块化机器人可以通过重新排列其结构部件和尺寸来适应各种任务场景和环境。然而,在非实验室环境中,特别是在非结构化的行星地形上,它们的多功能性潜力尚未得到充分探索。这种困难在于模块化机器人的形态和行为与它们所处的地形高度交织在一起。实现机器人构型和运动策略的并行设计是保证重构方案最优性的关键,因为只有同时考虑构型和运动策略才能保证解空间的完备性。然而,由于联合候选空间巨大,这也具有挑战性。现有的基于进化算法、机器学习或混合方法的研究存在一系列局限性,如低目标导向和特征利用不足。为此,我们在协同优化框架中引入地形引导模块和时空图卷积网络架构,利用智能体的时空特征指导优化,进一步加快了搜索速度,增强了模块化机器人的自适应能力。我们使用Webots平台进行了模拟,以验证我们提出的方法。比较研究表明,我们的框架产生的重构方案对几种地形表现出高效和适当的形态和行为适应。
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引用次数: 0
Reduced-order uncertainty propagation for heliocentric gravitational wave observatories using semi-analytical sensitive directions 利用半解析敏感方向的日心引力波天文台的降阶不确定性传播
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-09-26 DOI: 10.1007/s42064-024-0255-z
Xingyu Zhou, Chen Cheng, Zhe Zhang, Xiangyu Li

Orbit insertion uncertainties can significantly affect the configuration stability of heliocentric gravitational wave (GW) observatories, necessitating valid configuration uncertainty propagation techniques. Current configuration uncertainty propagation methods suffer from drawbacks related to their high computational complexity. To this end, this study proposes a novel configuration uncertainty propagation method for heliocentric GW observatories to reduce the computational complexity. First, the angular momentum and phase angle were found to be the two core variables for the orbit propagation of heliocentric GW observatories, the analytical solutions of which were derived using a perturbation-averaging technique. Subsequently, a first-order sensitivity matrix of the configuration stability index with respect to the initial states was derived based on the analytical solutions of the angular momentum and phase angle. Semi-analytically sensitive directions were obtained based on the derived sensitivity matrix, which was further employed to reduce the terms of configuration uncertainty propagation. The performance of the proposed method was validated using the example of a Laser Interferometer Space Antenna (LISA) project by comparing it with several competitive methods. The numerical results show that the proposed reduced-order method has a relative error close to that of the conventional full-state method and reduces the computational complexity by more than 46.

轨道插入不确定性会显著影响日心引力波天文台的构型稳定性,因此需要有效的构型不确定性传播技术。当前的构型不确定性传播方法存在计算复杂度高的缺点。为此,本研究提出了一种新的日心GW观测台构型不确定性传播方法,以降低计算复杂度。首先,发现角动量和相位角是日心GW天文台轨道传播的两个核心变量,并利用摄动平均技术推导了其解析解。然后,根据角动量和相位角的解析解,推导出构型稳定指数相对于初始状态的一阶灵敏度矩阵。在推导灵敏度矩阵的基础上得到半解析敏感方向,并进一步利用该灵敏度矩阵减少构型不确定性传播项。以激光干涉仪空间天线(LISA)工程为例,与几种竞争方法进行了比较,验证了该方法的有效性。数值结果表明,所提出的降阶方法的相对误差接近传统的全状态方法,计算复杂度降低了46%以上。
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引用次数: 0
Application of singular perturbation theory to space flight dynamics problems 奇异摄动理论在空间飞行动力学问题中的应用
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-09-26 DOI: 10.1007/s42064-024-0233-5
Danilo Zona, Giulio Avanzini, Fabrizio Giulietti, Alessandro Palmas

Singular perturbation theory is applied for analytically estimating the effects of small acceleration terms on spacecraft orbital dynamics, which are representative of the action of a drag force or of an electric low-thrust propulsion system. The effects of density variation with altitude and thrust magnitude as a function of distance from the primary body are included in the analysis. Comparisons with results obtained from numerical integration and other analytical and semianalytical methods demonstrate the validity of the approach in predicting the secular variation of orbit parameters in planar motion, with advantages in terms of accuracy and/or computational cost with respect to other approximations.

应用奇异摄动理论分析了小加速度项对航天器轨道动力学的影响,这些小加速度项代表了拖曳力或电力低推力推进系统的作用。分析中考虑了密度随高度变化的影响和推力大小随距离的变化的影响。与数值积分和其他解析半解析方法的结果比较表明,该方法在预测轨道参数在平面运动中的长期变化方面是有效的,与其他近似方法相比,在精度和/或计算成本方面具有优势。
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引用次数: 0
Observer-based dual hybrid nonfragile tracking control for satellite swarm reconstruction 基于观测器的卫星群重构双混合非脆弱跟踪控制
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-09-26 DOI: 10.1007/s42064-024-0242-4
Chuang Liu, Yijie Luo, Bailiang Lyu, Keke Shi

This paper investigates the tracking control problem of satellite swarm reconstruction, where relative motion information in unknown and coexisting perturbations in both the observer and controller is addressed. Considering the multisource complex disturbances due to the space environment effect, a planned trajectory of a member satellite is given to satisfy the obstacle avoidance and dynamic constraints. Then, considering the coexistence of additive and multiplicative perturbations, a so-called dual hybrid nonfragile controller, i.e., a hybrid nonfragile state observer-based hybrid nonfragile tracking controller, is developed to achieve the tracking control performance of member satellites along the planned trajectory. Lyapunov stability analysis is performed to demonstrate the system stability via linear matrix inequalities (LMIs); thus, the satellite swarm can achieve the optimal trajectory reconstruction from its initial position to the desired position with topological constraints. Finally, numerical simulations are performed to demonstrate the effectiveness and superiority of the developed dual hybrid nonfragile control approach.

研究了卫星群重构的跟踪控制问题,该问题处理了观测器和控制器在未知摄动和共存摄动下的相对运动信息。考虑空间环境效应引起的多源复杂干扰,给出了满足避障和动态约束的成员卫星规划轨迹。然后,考虑可加性摄动和乘性摄动共存的情况,提出了一种所谓的双混合非脆弱控制器,即基于混合非脆弱状态观测器的混合非脆弱跟踪控制器,以实现成员卫星沿规划轨迹的跟踪控制性能。利用线性矩阵不等式(lmi)进行Lyapunov稳定性分析,证明了系统的稳定性;因此,在拓扑约束下,卫星群可以实现从初始位置到期望位置的最优轨迹重建。最后,通过数值仿真验证了所提出的双混合非脆弱控制方法的有效性和优越性。
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引用次数: 0
Revisiting dust dynamics in Europa’s plumes based on Galileo detection data 基于伽利略探测数据重访木卫二羽流中的尘埃动力学
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-09-26 DOI: 10.1007/s42064-024-0240-6
Zizhe Cai, Zhenghan Chen, Kun Yang, Xiaodong Liu

Europa’s plume eruption activity provides a unique opportunity to explore its subsurface ocean and potential biological activity. Based on in-situ detection data from the Galileo spacecraft, it has been concluded that Europa’s plumes have an inclined ejection structure. On this basis, in this study, large-scale simulations of dust dynamics were performed, and the influence of Europa’s plume structures and parameters on dust dynamics was analyzed. Compared with the nearly circular deposition area from vertical eruptions, the surface deposition of plume particles from an inclined eruption exhibits an offset in the tilt direction. Additionally, the plume particle spatial distribution from inclined eruptions is sparser at higher altitudes than that from vertical eruptions. The size of the deposition area is significantly influenced by the gas velocity, whereas the degree of deposition concentration is affected by the critical grain radius and the size distribution exponent, which is similar to that of Enceladus. Lower gas velocity and smaller critical grain radius also result in a sparser distribution at high altitudes. Furthermore, the surface deposition and spatial distribution of the double eruption locations are also considered.

木卫二的羽流喷发活动为探索其地下海洋和潜在的生物活动提供了一个独特的机会。根据伽利略号航天器的原位探测数据,木卫二的羽流具有倾斜的喷射结构。在此基础上,本研究进行了大尺度的尘埃动力学模拟,分析了木卫二羽流结构和参数对尘埃动力学的影响。与垂直喷发形成的近圆形沉积区相比,倾斜喷发形成的羽流颗粒表面沉积在倾斜方向上有偏移。此外,倾斜喷发的羽流颗粒空间分布在高海拔处比垂直喷发的羽流颗粒空间分布更稀疏。沉积区域的大小受气速影响显著,而沉积浓度的大小受临界颗粒半径和粒径分布指数的影响,这与土卫二类似。较低的气速和较小的临界颗粒半径也导致高海拔地区分布稀疏。此外,还考虑了两次喷发位置的地表沉积和空间分布。
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引用次数: 0
Bounds of relative motion for resonant solar-sail halo orbits in Earth–Moon system 地月系共振太阳帆晕轨道的相对运动边界
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-09-26 DOI: 10.1007/s42064-024-0258-9
Chen Gao, Kai Zhang, Zichen Deng, Wei Wang

This study discusses the relative motion among Earth–Moon resonant solar-sail halo orbits of the same period, which are promising candidates for formation-flying missions. Because the restricted multibody problem admits no closed-form solutions, this study proposes a semi-analytic method for the bound analysis of relative motion using the jet transport technique. In particular, the bounds on the coordinate components and inter-spacecraft distance are explicitly specified as high-order Taylor polynomials in terms of solar-sail parameters that characterize the families of resonant halo orbits. These semi-analytic closed-form solutions allow rapid evaluations of the maximum, minimum, and mean distances among nearby solar-sail halo orbits, which are crucial for formation configuration design and control. Based on illustrative examples, we verify the effectiveness of the proposed semi-analytic bound-analysis method.

本研究讨论了同时期地月共振太阳帆晕轨道之间的相对运动,这些轨道是有希望进行编队飞行任务的候选者。由于受限多体问题不存在封闭解,本文提出了一种利用射流输运技术进行相对运动约束分析的半解析方法。特别是,坐标分量和航天器间距离的界限被明确地指定为表征共振晕轨道族的太阳帆参数的高阶泰勒多项式。这些半解析封闭形式的解决方案可以快速评估太阳帆晕轨道附近的最大、最小和平均距离,这对地层配置设计和控制至关重要。通过实例验证了所提出的半解析界分析方法的有效性。
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引用次数: 0
Attention-driven reinforcement learning for multi-satellite collaborative orbital interception strategy solution 基于注意力驱动强化学习的多卫星协同轨道拦截策略解决方案
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-09-26 DOI: 10.1007/s42064-024-0246-0
Wenxiu Zhang, Yamin Wang, Yonghe Zhang

Aiming at the problem of efficient collaborative decision-making among multiple satellites in multi-satellite orbital interception mission, a multi-satellite cooperative orbital interception strategy based on attention mechanism and deep reinforcement learning is proposed. Firstly, considering the orbital dynamics, maneuverability, mission duration, and collision avoidance constraints faced in orbital interception mission, a Markov decision process is designed, and a multi-satellite game strategy solution framework based on the actor–critic network is built; then, a guided reward function is designed to effectively guide the pursuit satellite to approach and intercept the escaping satellite to accelerate the convergence speed of the algorithm; finally, the attention mechanism is used to capture the potential relationship between satellites and generate coded information with biased attention effect, which helps satellites form an efficient collaborative interception strategy. The simulation experiments show that the trained satellites can conduct autonomous learning and decision-making in a dynamic and uncertain environment. In orbital interception mission, the pursuit satellite can adopt an effective collaborative strategy to use the advantage of quantity to make up for the disadvantage of speed, maintain a high mission success rate, and a series of intelligent game behaviors emerge.

针对多卫星轨道拦截任务中多卫星间的高效协同决策问题,提出了一种基于注意机制和深度强化学习的多卫星协同轨道拦截策略。首先,考虑轨道拦截任务所面临的轨道动力学、机动性、任务持续时间和避碰约束,设计了马尔可夫决策过程,构建了基于行动者批评网络的多卫星博弈策略求解框架;然后设计引导奖励函数,有效引导跟踪卫星接近并拦截逃逸卫星,加快算法的收敛速度;最后,利用注意机制捕捉卫星间的潜在关系,生成具有偏注意效应的编码信息,帮助卫星形成高效的协同拦截策略。仿真实验表明,训练后的卫星能够在动态不确定环境下自主学习和决策。在轨道拦截任务中,追踪卫星可以采用有效的协同策略,以数量优势弥补速度劣势,保持较高的任务成功率,并产生一系列智能博弈行为。
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引用次数: 0
Fully-distributed autonomous scheduling for Earth-observing constellations 地球观测星座的全分布式自主调度
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-09-10 DOI: 10.1007/s42064-024-0253-1
Yu Yan, Jihe Wang, Wei Wang, Lining Tan, Renuganth Varatharajoo, Chengxi Zhang

The coordination of multiple Earth-observing satellites presents a significant scheduling challenge. This paper introduces a fully distributed autonomous scheduling solution that utilizes a learning-based mechanism through an independent proximal policy optimization (IPPO) algorithm. Each satellite independently makes decisions regarding tasks, such as imaging, desaturation, and charging, while adapting to dynamic environmental changes to enhance its real-time constellation scheduling performance. The proposed fully distributed strategy enables individual satellites to update their policies based solely on their observations. The only requirement is the unidirectional broadcast of a completion flag upon target observation. This approach distinguishes itself from traditional centralized methods, thus enhancing the overall robustness and security of the system. In simulations, our strategy exhibited effective observational mission planning results for major cities worldwide. The results show that the proposed method addresses both autonomous scheduling and significantly improves constellation performance and reliability.

多颗地球观测卫星的协调调度是一个重大挑战。本文介绍了一种完全分布式的自主调度方案,该方案通过独立的近端策略优化(IPPO)算法,利用基于学习的机制。每颗卫星独立决策成像、去饱和、充电等任务,同时适应动态环境变化,增强实时星座调度性能。拟议的完全分布式战略使单个卫星能够仅根据其观测结果更新其策略。唯一的要求是在目标观察时单向广播完成标志。这种方法有别于传统的集中式方法,从而增强了系统的整体健壮性和安全性。在模拟中,我们的策略为全球主要城市展示了有效的观测任务规划结果。结果表明,该方法既解决了自主调度问题,又显著提高了星座性能和可靠性。
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引用次数: 0
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Astrodynamics
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