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Fast trajectory replanning for cooperative vehicles using sequential convex programming 基于顺序凸规划的协同车辆快速轨迹重规划
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-07-12 DOI: 10.1007/s42064-024-0208-6
Peng Zhang, Lin Cheng, Shengping Gong

With the rapid changes of the flight environment and situation, there will be various unexpected situations while multiple missiles are performing the missions. To fast cope with the various situations in mission executions, the conventional sequential convex programming algorithm and the parallel-based sequential convex programming algorithm for multiple missiles fast trajectory replanning are proposed in this paper. The originally non-convex trajectory optimization problem is reformulated into a series of convex optimization subproblems based on the sequential convex programming method. The conventional sequential convex programming algorithm is developed through linearization, successive convexification, and relaxation techniques to solve the convex optimization subproblems iteratively. However, multiple missiles are related through various cooperative constraints. When the trajectory optimization of multiple missiles is formulated as an optimal control problem to solve, the complexity of the problem will increase dramatically as the number of missiles increases. To alleviate the coupled effect caused by multiple aerodynamically controlled missiles, the parallel-based sequential convex programming algorithm is proposed to solve the trajectory optimization problem for multiple missiles in parallel, reducing the complexity of the trajectory optimization problem and significantly shortening the computation time. Numerical simulations are provided to verify the convergence and effectiveness of the conventional sequential convex programming algorithm and the parallel-based sequential convex programming algorithm to cope with the trajectory optimization problem with various constraints. Furthermore, the optimality and the real-time performance of the proposed algorithms are discussed in comparative simulation examples.

随着飞行环境和态势的快速变化,多枚导弹在执行任务时会出现各种突发情况。为了快速应对任务执行中的各种情况,本文提出了传统的顺序凸规划算法和基于并行的多导弹快速弹道重规划的顺序凸规划算法。基于序列凸规划方法,将原非凸轨迹优化问题转化为一系列凸优化子问题。传统的序贯凸规划算法是通过线性化、逐次凸化和松弛技术来迭代求解凸优化子问题的。然而,多个导弹通过各种合作约束相互关联。当将多导弹弹道优化问题表述为一个最优控制问题来求解时,随着导弹数量的增加,问题的复杂性会急剧增加。为缓解多枚气动控制导弹所带来的耦合效应,提出了基于并行的序列凸规划算法求解多枚导弹并行的弹道优化问题,降低了弹道优化问题的复杂度,显著缩短了计算时间。通过数值仿真,验证了传统顺序凸规划算法和基于并行的顺序凸规划算法在处理各种约束条件下的轨迹优化问题时的收敛性和有效性。此外,通过对比仿真实例讨论了所提算法的最优性和实时性。
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引用次数: 0
Terminal guidance and control algorithms for kinetic impact missions on 30-m-diameter asteroids 30m直径小行星动能撞击任务末制导与控制算法
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-07-12 DOI: 10.1007/s42064-024-0239-z
Jialong Song, Ning Han, Shuo Mu, Hui Liu, Yaowu Duan, Shuxuan Liu, Hexi Baoyin

Kinetic impact is an effective approach for studying and defending against asteroids. Impact missions have focused on asteroids with diameters larger than 100 m, whereas smaller missions have not been explored. Terminal guidance and control algorithms for small asteroids have received limited attention. China plans to conduct its first asteroid defense demonstration mission around 2025 on a 30-m-diameter asteroid. This paper presents the guidance and control algorithms for the terminal phase of this mission. The guidance formulas for impact missions are derived in this study using predictive and proportional guidance laws. Three maneuver criteria are proposed to determine the optimal timing for orbit correction, considering fuel consumption, impact accuracy, and computational cost. A continuous thrust control strategy was introduced to achieve incremental changes in velocity based on the relative motion of the impactor and target. The performance of the guidance and control algorithms was evaluated using Monte Carlo simulation, which demonstrated their effectiveness in handling uncertainties and achieving a high success rate. The results indicate that the proposed algorithm can be applied to future impact missions targeting small asteroids.

动能撞击是研究和防御小行星的有效方法。撞击任务集中在直径大于100米的小行星上,而较小的任务还没有被探索过。小型小行星的末端制导和控制算法受到的关注有限。中国计划在2025年左右对一颗直径30米的小行星进行首次小行星防御演示任务。本文给出了该任务末段的制导和控制算法。利用预测制导律和比例制导律推导了冲击任务的制导公式。考虑了燃料消耗、撞击精度和计算成本,提出了确定轨道修正最佳时机的三个机动准则。提出了一种连续推力控制策略,以实现基于冲击器和目标相对运动的速度增量变化。通过蒙特卡罗仿真对制导和控制算法的性能进行了评价,验证了其处理不确定性的有效性和较高的成功率。结果表明,该算法可应用于未来的小行星撞击任务。
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引用次数: 0
Attitude reference generation for spacecraft with rotating solar arrays and pointing constraints 具有旋转太阳能阵列和指向约束的航天器姿态参考生成
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-07-05 DOI: 10.1007/s42064-024-0245-1
Riccardo Calaon, Cody Allard, Hanspeter Schaub

Advancements in space technology are enabling more sophisticated spacecraft designs with time-varying spacecraft configurations to account for varying power considerations. For example, articulating solar arrays that rotate about an axis fixed with respect to the hub can track the Sun at all times. Electric thrusters also have become omnipresent in modern spacecraft designs. Because these thrusters operate over long time windows, and the thrust vector must at all times be aligned with a specific inertial orientation, the optimal spacecraft attitude reference needs to accommodate the thruster too. Multiple pointing constraints pose a challenge to the attitude reference generation problem, because the attitude is characterized by three degrees of freedom, whereas the different constraints are often described by overdetermined systems of multiple equations. This paper leverages a range of attitude parameterizations to provide a mathematical description of the solution spaces of the constraints outlined above. When the intersection space is nonzero, it is possible to compute a solution that satisfies multiple constraints simultaneously. Conversely, an ordered list of pointing priorities is required in order to enforce the most important requirements, and reformulate the subsequent ones in terms of constrained optimization problems. The attitude guidance formulation is written in a general manner, which makes it applicable to a broad range of mission configurations.

空间技术的进步使更复杂的航天器设计具有时变的航天器配置,以考虑不同的功率考虑。例如,铰接太阳能电池阵列围绕一个相对于轮毂固定的轴旋转,可以随时跟踪太阳。电动推进器在现代航天器设计中也无处不在。因为这些推进器在很长的时间窗口内工作,并且推力矢量必须始终与特定的惯性方向对齐,所以最佳的航天器姿态参考也需要容纳推进器。多点约束给姿态参考生成问题带来了挑战,因为姿态具有三个自由度的特征,而不同的约束通常由多方程的过定系统来描述。本文利用一系列姿态参数化来提供上述约束的解空间的数学描述。当交点空间非零时,可以计算出同时满足多个约束的解。相反,为了执行最重要的需求,并根据约束优化问题重新制定后续需求,需要一个指向优先级的有序列表。姿态制导公式以通用方式编写,使其适用于广泛的任务配置。
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引用次数: 0
E2E: Onboard satellite real-time classification of thermal hotspots events on optical raw data 基于光学原始数据的星载热热点事件实时分类
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-05-27 DOI: 10.1007/s42064-024-0249-x
Gabriele Meoni, Roberto Del Prete, Lucia Ancos-Villa, Enrique Albalate-Prieto, David Rijlaarsdam, Jose Luis Espinosa-Aranda, Nicolas Longépé, Maria Daniela Graziano, Alfredo Renga

Nowadays, the use of Machine Learning (ML) onboard Earth Observation (EO) satellites has been investigated for a plethora of applications relying on multispectral and hyperspectral imaging. Traditionally, these studies have heavily relied on high-end data products, subjected to extensive pre-processing chains natively designed to be executed on the ground. However, replicating such algorithms onboard EO satellites poses significant challenges due to their computational intensity and need for additional metadata, which are typically unavailable on board. Because of that, current missions exploring onboard ML models implement simplified but still complex processing chains that imitate their on-ground counterparts. Despite these advancements, the potential of ML models to process raw satellite data directly remains largely unexplored. To fill this gap, this paper investigates the feasibility of applying ML models directly to Sentinel-2 raw data to perform thermal hotspot classification. This approach significantly limits the processing steps to simple and lightweight algorithms to achieve real-time processing of data with low power consumption. To this aim, we present an end-to-end (E2E) pipeline to create a binary classification map of Sentinel-2 raw granules, where each point suggests the absence/presence of a thermal anomaly in a square area of 2.5 km. To this aim, lightweight coarse spatial registration is applied to register three different bands, and an EfficientNet-lite0 model is used to perform the classification of the various bands. The trained models achieve an average Matthew’s correlation coefficient (MCC) score of 0.854 (on 5 seeds) and a maximum MCC of 0.90 on a geographically tripartite dataset of cropped images from the THRawS dataset. The proposed E2E pipeline is capable of processing a Sentinel-2 granule in 1.8 s and within 6.4 W peak power on a combination of Raspberry PI 4 and CogniSat-XE2 board, demonstrating real-time performance.

如今,机器学习(ML)在地球观测(EO)卫星上的使用已经被研究用于依赖于多光谱和高光谱成像的大量应用。传统上,这些研究严重依赖于高端数据产品,受到广泛的预处理链的影响,这些预处理链是为在地面上执行而设计的。然而,在EO卫星上复制这样的算法面临着巨大的挑战,因为它们的计算强度和需要额外的元数据,而这些元数据通常在卫星上不可用。正因为如此,目前探索机载机器学习模型的任务实现了简化但仍然复杂的处理链,模仿了地面上的处理链。尽管取得了这些进步,但机器学习模型直接处理原始卫星数据的潜力在很大程度上仍未得到探索。为了填补这一空白,本文研究了将ML模型直接应用于Sentinel-2原始数据进行热热点分类的可行性。这种方法极大地限制了处理步骤的简单和轻量级算法,以实现低功耗数据的实时处理。为此,我们提出了一个端到端(E2E)管道来创建Sentinel-2原始颗粒的二元分类图,其中每个点都表明在2.5公里的平方区域内不存在热异常。为此,采用轻量化粗空间配准方法对3个不同波段进行配准,并用effentnet -lite0模型对不同波段进行分类。经过训练的模型在5个种子上的平均马修相关系数(MCC)得分为0.854,在THRawS数据集裁剪图像的地理三方数据集上的最大MCC得分为0.90。提出的E2E管道能够在1.8秒内处理Sentinel-2颗粒,在Raspberry PI 4和CogniSat-XE2板的组合上,峰值功率为6.4 W,具有实时性。
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引用次数: 0
Learning-based multi-level impact point prediction method for long-range vehicles under the influence of a disturbing gravity field 扰动重力场影响下远程车辆基于学习的多级碰撞点预测方法
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-05-26 DOI: 10.1007/s42064-023-0184-2
Leliang Ren, Yong Xian, Shaopeng Li, Daqiao Zhang, Bing Li, Weilin Guo

The influence of a disturbing gravity field on the impact points of long-range vehicles (LRVs) has become increasingly prominent, which is an important factor affecting the accuracy of impact point prediction (IPP). To achieve high-accuracy and fast IPP for LRVs under the influence of a disturbing gravity field, a data-driven multi-level IPP method is proposed to balance the prediction accuracy and real-time performance. At the first level, the impact point of the current flight state is predicted based on elliptical trajectory theory, and the impact deviation of the elliptical trajectory (ID-ET) is calculated. At the second and third levels, a neural network (NN) model is established to learn the ID-ET caused by the J2 term and re-entry aerodynamic drag as well as that caused by the disturbing gravity field. To improve the NN prediction performance, an auxiliary circle is applied to decouple the ID-ET. To reduce the difficulty of NN learning, a training strategy is designed based on the idea of curriculum learning, which improves training accuracy. At the same time, a hybrid sample generation strategy is proposed to improve the NN generalization ability. A detailed simulation experiment is designed to analyze the advantages and computational complexity of the proposed method. The simulation results showed that the proposed model has a high prediction accuracy, strong generalization ability, and good real-time performance under the influence of the disturbing gravity field and re-entry aerodynamic drag. Among the 317,360 samples contained in the training and test sets, the 3σ prediction error was 6.21 m. On an STM32F407 single-chip microcomputer, the IPP required 3.415 ms. The proposed method can provide support for the design of guidance algorithms and is applicable to engineering practice.

扰动重力场对远程车辆撞击点的影响日益突出,是影响撞击点预测精度的重要因素。为了实现干扰重力场影响下lrv的高精度快速IPP,提出了一种数据驱动的多级IPP方法,以平衡预测精度和实时性。首先,基于椭圆弹道理论预测当前飞行状态的弹着点,并计算椭圆弹道的撞击偏差(ID-ET);在第二层和第三层,分别建立神经网络模型,学习J2项和再入气动阻力以及扰动重力场引起的ID-ET。为了提高神经网络的预测性能,采用辅助圆对ID-ET进行解耦。为了降低神经网络学习的难度,基于课程学习的思想设计了一种训练策略,提高了训练的准确性。同时,提出了一种混合样本生成策略来提高神经网络的泛化能力。通过详细的仿真实验,分析了该方法的优点和计算复杂度。仿真结果表明,该模型在扰动重力场和再入气动阻力影响下具有较高的预测精度、较强的泛化能力和较好的实时性。在训练集和测试集包含的317360个样本中,3σ预测误差为6.21 m。在STM32F407单片机上,IPP需要3.415 ms。该方法可为制导算法的设计提供支持,适用于工程实践。
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引用次数: 0
Attitude trajectory design and optimization for planar space-based solar power arrays in molniya orbits 平面天基太阳能阵列在molniya轨道上的姿态轨迹设计与优化
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-05-26 DOI: 10.1007/s42064-024-0218-4
Basel A. M. Omran, Michael C. F. Bazzocchi

Escalating concerns about climate change and the limitations of alternative energy sources have renewed interest in space-based solar power. Among numerous concepts proposed for space-based solar power, the modular flat-plane sandwich configuration has emerged as a promising candidate, owing to its structural simplicity that lends itself well to recent advancements in wireless power transmission and on-orbit robotic assembly. As a consequence of its simple structure, there are also new challenges with respect to attitude design due to the coupling of sunlight collection and power beaming on opposing sides of the flat plane. This paper develops a versatile attitude trajectory optimization approach that maximizes power-beaming efficiency for modular space-based solar power configurations in Molniya orbits while minimizing the attitude control effort. The developed optimization approach employs a genetic algorithm to study two attitude design strategies. The first attitude design strategy investigates initially spinning configurations about the ecliptic normal and compares the power-beaming efficiency against solutions using near-optimal attitude and spin axis parameters for a one-year period determined through optimization. The second attitude design strategy employs multiple runs of a genetic algorithm discretized at different time of the year, each determining an inertially fixed attitude optimized for a one-month period. These attitudes are then used to design attitude maneuvers, each with an axis and rate of actuation designed analytically. The outcomes of this study determined several viable attitude trajectory optimization and design strategies for multiple space-based solar power system configurations, which generate attitude trajectories that maximize power beaming in Molniya orbits while minimizing attitude control effort.

对气候变化和替代能源有限性的日益关注,重新燃起了人们对太空太阳能发电的兴趣。在众多提出的空间太阳能概念中,模块化平面三明治结构已成为一个有希望的候选,因为它的结构简单,适合最近在无线电力传输和在轨机器人组装方面的进展。由于其结构简单,由于平面两侧的阳光收集和电力传输耦合,在姿态设计方面也存在新的挑战。本文提出了一种通用的姿态轨迹优化方法,该方法可以最大限度地提高Molniya轨道上模块化天基太阳能发电配置的能量集束效率,同时使姿态控制工作量最小化。该优化方法采用遗传算法研究两种姿态设计策略。第一种姿态设计策略研究了黄道法向的初始自旋配置,并将能量束效率与使用接近最优姿态和自转轴参数的解决方案进行了比较。第二种姿态设计策略采用在一年中不同时间离散化的遗传算法的多次运行,每次运行确定一个针对一个月优化的惯性固定姿态。然后使用这些姿态来设计姿态机动,每个姿态机动都具有解析设计的轴和驱动速率。研究结果确定了几种可行的姿态轨迹优化和设计策略,用于多种天基太阳能发电系统配置,从而产生在Molniya轨道上最大限度地发电,同时最小化姿态控制工作量的姿态轨迹。
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引用次数: 0
A goal-oriented guidance approach for binary asteroids exploration 一种面向目标的双小行星探测制导方法
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-05-16 DOI: 10.1007/s42064-024-0237-1
Antonio Rizza, Carmine Giordano, Francesco Topputo

Operations in proximity of minor bodies demands high levels of autonomy to achieve cost-effective safe and reliable solutions. Autonomous trajectory and operations planning capability plays a pivotal role in this. A goal-oriented guidance strategy for on-board implementation is presented in this paper to achieve high level mission objectives with impulsive control capability. The methodology is based on abstract reachability analysis performed on the control domain combining model predictive control theory with artificial potential fields algorithms. The formulation of the optimization problem in a general and flexible way allows to target different goals while being compliant with an arbitrary number of mission constraints. In particular, two main contributions to the field are proposed in this work: a way of embedding non-uniform observation constraints in the formulation to deal with challenging illumination conditions, and the inclusion of specific operational constraints to be compliant both with ground operations and on-board replanning. The methodology is applied to the Milani mission, one of the two Hera’s CubeSats, targeting a global coverage of the main attractor, Didymos, and detailed observations of specific features on the secondary asteroid, Dimorphos. The authors, being involved in the mission analysis, image processing, and GNC design of the platform, believe that this methodology also represents a viable tool for efficiently generating flight dynamics references during operations. Different metrics are investigated to achieve mission objectives leading to four application scenarios that are discussed in this work. Results are compared in terms of computational cost, convergence properties and efficiency. These results represent a step forward in enabling autonomous guidance capability for CubeSats proximity operations.

在小型机构附近的操作需要高度的自主权,以实现成本效益高、安全可靠的解决方案。自主弹道和作战规划能力在其中起着关键作用。为实现具有脉冲控制能力的高阶任务目标,提出了一种面向目标的机载制导策略。该方法基于对控制域进行的抽象可达性分析,将模型预测控制理论与人工势场算法相结合。优化问题的一般和灵活的表述方式允许针对不同的目标,同时符合任意数量的任务约束。特别是,本工作提出了对该领域的两个主要贡献:在公式中嵌入非均匀观测约束以处理具有挑战性的照明条件的方法,以及包含符合地面操作和机载重新规划的特定操作约束。该方法被应用于米拉尼任务,这是赫拉的两颗立方体卫星之一,目标是对主要吸引物Didymos的全球覆盖,并对次要小行星Dimorphos的特定特征进行详细观察。参与该平台任务分析、图像处理和GNC设计的作者认为,这种方法也代表了一种可行的工具,可以在操作期间有效地生成飞行动力学参考。为了实现任务目标,研究了不同的度量标准,导致了本工作中讨论的四种应用场景。从计算成本、收敛性能和效率三个方面对结果进行了比较。这些结果代表了在实现立方体卫星近距离操作的自主制导能力方面向前迈进了一步。
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引用次数: 0
Design of halo orbit constellation for lunar global positioning and communication services 面向月球全球定位与通信服务的光环轨道星座设计
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-05-07 DOI: 10.1007/s42064-024-0220-x
Mariano Conti, Christian Circi

A lunar global positioning–navigation–timing (PNT) and communication system can greatly support the exploration and exploitation of the Moon. In this study, the application of the stable orbits of the L1 and L2 halo families and the unstable orbits of L3 in the Earth–Moon system is analyzed, and a design is proposed. L3 halo orbits are considered for a continuous line-of-sight satellite infrastructure for the Earth–Moon communication, thereby providing an opportunity for ground stations on the Earth to participate in lunar missions even if they do not directly see the Moon. In this study, a constellation of 26 satellites distributed over a lunar segment, made of four halo orbits of L1 and L2, and a terrestrial segment, made of two halo orbits of L3, is designed; this constellation facilitates global and continuative Earth–Moon communication and provides accurate and continuous lunar PNT service. According to a station-keeping analysis in the framework of the elliptical restricted three-body problem, the maintenance cost for approximately 60 d was 0.76 m/s for the lunar segment and 0.02 m/s for the terrestrial segment.

月球全球定位-导航-授时(PNT)和通信系统可以极大地支持月球的探测和开发。本文分析了L1、L2光晕族稳定轨道和L3光晕族不稳定轨道在地月系统中的应用,并提出了一种设计方案。L3光晕轨道被认为是地球-月球通信的连续视距卫星基础设施,从而为地球上的地面站提供了参与月球任务的机会,即使它们没有直接看到月球。在本研究中,设计了一个由26颗卫星组成的星座,分布在由L1和L2四个光环轨道组成的月球段和由两个L3光环轨道组成的陆地段上;这个星座促进了全球和连续的地月通信,并提供准确和连续的月球PNT服务。根据椭圆受限三体问题框架下的站位保持分析,月球段约60 d的维护成本为0.76 m/s,陆地段约为0.02 m/s。
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引用次数: 0
Delta-k approach for space surveillance multireceiver radars 用于空间监视多接收机雷达的Delta-k方法
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-05-07 DOI: 10.1007/s42064-024-0217-5
Marco Felice Montaruli, Pierluigi Di Lizia, Stefano Tebaldini, Germano Bianchi

The increasing population of resident space objects is currently fostering many space surveillance initiatives. In this framework, on-ground multireceiver radars allow to reconstruct the target angular track, but the array configuration may cause the presence of multiple solutions and, if no pass prediction is available, the ambiguity cannot be solved a-priori. This work proposes an evolution of the Music Approach for Track Estimate and Refinement (MATER) algorithm. Given two different signals reflected by the same target, at each observation epoch their Direction Of Arrival (DOA) is estimated from the signal Covariance Matrix (CM) through the MUltiple SIgnal Classification (MUSIC) algorithm. Then, the possible ambiguous estimations are solved through the delta-k technique: the correct DOA is considered as the one featuring the smallest angular deviation comparing the two CM results. This process is repeated for all the epochs, and the DOAs are clustered according to the RANdom SAmple Consensus (RANSAC) algorithm. Finally, the most populated cluster is considered as the correct one, and the angular track is computed through a time regression of the two angular coordinates. The evolution of MATER algorithm is tested through numerical simulations. The algorithm converges to the correct solution in 100% of the cases, with an angular accuracy in the order of 1–10 mdeg.

驻留空间物体数量的不断增加目前正在促进许多空间监视倡议。在该框架下,地面多接收机雷达允许重建目标的角航迹,但阵列配置可能导致存在多个解,并且如果没有可用的通道预测,则无法先验地解决模糊性。这项工作提出了一种改进的Music Approach for Track Estimate and Refinement (MATER)算法。给定同一目标反射的两个不同信号,通过多信号分类算法从信号协方差矩阵(CM)中估计每个观测历元的到达方向(DOA)。然后,通过delta-k技术解决可能存在的模糊估计,将正确的DOA视为比较两种CM结果具有最小角偏差的DOA。该过程对所有epoch重复,并根据RANdom SAmple Consensus (RANSAC)算法对doa进行聚类。最后,选取人口最多的聚类作为正确的聚类,通过对两个角坐标的时间回归计算角轨迹。通过数值模拟验证了MATER算法的演化性。该算法在100%的情况下收敛到正确的解,角精度在1-10度之间。
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引用次数: 0
Collision avoidance maneuver optimization during low-thrust propelled trajectories 低推力推进轨迹下避碰机动优化
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-05-07 DOI: 10.1007/s42064-024-0227-3
Zeno Pavanello, Laura Pirovano, Roberto Armellin, Andrea De Vittori, Pierluigi Di Lizia

Conjunctions between spacecraft are increasingly common across orbital regimes, demanding reliable and efficient collision avoidance (COLA) strategies. The typical solution to the COLA problem is to compute a maneuver that reduces the collision risk while minimizing fuel expenditure. If the spacecraft is in a continuously propelled phase, this approach must be modified since the thrust profile is determined a priori, aiming to reach a final orbit. This work proposes using convex optimization to solve the short-term encounter COLA problem in such conditions. The optimization problem is two-fold: (i) the collision risk must be reduced below a certain threshold; (ii) after the conjunction, the spacecraft must be rerouted into the nominal trajectory. By casting the problem as a sequential convex program, the original nonlinear optimal control problem is solved iteratively, recovering an optimal solution. Within the second-order cone program framework, three strategies are proposed to address the problem: (i) determining the optimal switch-off time to avoid the collision while minimizing deviation from the nominal trajectory; computing a new thrust profile, deviating as little as possible from the original one in terms of (ii) vector or (iii) angular difference. The three strategies are tested on practical operational scenarios, using the nominal thrust profile from a low-thrust geostationary transfer orbit and conjunction details from a conjunction data message.

航天器之间的连接在轨道上越来越普遍,需要可靠和有效的避碰(COLA)策略。COLA问题的典型解决方案是计算一种减少碰撞风险同时最小化燃料消耗的机动。如果航天器处于连续推进阶段,则必须修改这种方法,因为推力轮廓是先验确定的,旨在到达最终轨道。本文提出利用凸优化来解决这种情况下的短期相遇COLA问题。优化问题是双重的:(1)碰撞风险必须降低到一定的阈值以下;(ii)交会后,航天器必须重新进入标称轨道。将该问题转化为一个序列凸规划,迭代求解原非线性最优控制问题,恢复最优解。在二阶锥体规划框架内,提出了三种策略来解决这一问题:(1)确定最优关闭时间以避免碰撞,同时使与标称轨迹的偏差最小;计算一个新的推力剖面,在(ii)矢量或(iii)角差方面尽可能少地偏离原始推力剖面。这三种策略在实际操作场景中进行了测试,使用来自低推力地球静止转移轨道的标称推力剖面和来自连接数据电文的连接细节。
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引用次数: 0
期刊
Astrodynamics
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