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Spaceborne and ground-based sensor collaboration: Advancing resident space objects’ orbit determination for space sustainability 空间和地面传感器合作:推进常驻空间物体的轨道确定,促进空间可持续性
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-03-14 DOI: 10.1007/s42064-023-0193-1
Niki Sajjad, Mehran Mirshams, Andreas Makoto Hein

The limited space around the Earth is getting cluttered with leftover fragments from old missions, creating a real challenge. As more satellites are launched, even debris pieces as small as 5 mm must be tracked to avoid collisions. However, it is an arduous and challenging task in space. This paper presents a technical exploration of ground-based and in-orbit space debris tracking and orbit determination methods. It highlights the challenges faced during on-ground and in-orbit demonstrations, identifies current gaps, and proposes solutions following technological advancements, such as low-power pose estimation methods. Owing to the numerous atmospheric barriers to ground-based sensors, this study emphasizes the significance of spaceborne sensors for precise orbit determination, complemented by advanced data processing algorithms and collaborative efforts. The ultimate goal is to create a comprehensive catalog of resident space objects (RSO) around the Earth and promote space environment sustainability. By exploring different methods and finding innovative solutions, this study contributes to the protection of space for future exploration and the creation of a more transparent and precise map of orbital objects.

地球周围有限的空间正在被旧任务遗留下来的碎片所占据,这带来了真正的挑战。随着越来越多的卫星发射升空,即使是小到 5 毫米的碎片也必须进行跟踪,以避免碰撞。然而,这在太空中是一项艰巨而富有挑战性的任务。本文对地基和在轨空间碎片跟踪和轨道确定方法进行了技术探讨。它强调了在地面和在轨演示过程中面临的挑战,找出了当前的差距,并根据技术进步(如低功耗姿态估计方法)提出了解决方案。由于地面传感器面临众多大气障碍,本研究强调了空间传感器在精确轨道确定方面的重要性,并辅之以先进的数据处理算法和协作努力。最终目标是建立一个全面的地球周围常驻空间物体(RSO)目录,促进空间环境的可持续发展。通过探索不同的方法和寻找创新的解决方案,这项研究有助于保护未来探索的空间,并创建一个更加透明和精确的轨道物体地图。
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引用次数: 0
A comparative assessment of gravitational field modeling methods for binary asteroid landing 双小行星着陆引力场建模方法比较评估
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-03-13 DOI: 10.1007/s42064-024-0202-z
Tongge Wen, Xiangyuan Zeng, Ziwen Li, Yang Yu

The tradeoff between accuracy and efficiency in gravitational field modeling for binary asteroid landing is one of the challenges in dynamical analyses. Four representative gravitational modeling methods are employed and compared in this study. These are the sphere–sphere model, ellipsoid–sphere model, inertia integral-polyhedron method, and finite element method. This study considers the differences between these four models, particularly their effects on the landing dynamics of a lander. A framework to simulate the coupled orbit–attitude motion of a lander in a binary system is first established. Numerical simulations are then performed on the natural landings on the second primary of the (66391) Moshup–Squannit system. The results show significant differences in the final landing dispersions, settling time, and sliding distance when applying the simplified models. On the basis of the modeling accuracy and computational efficiency, the finite element method should be chosen for future missions.

双小行星着陆引力场建模的精度和效率之间的权衡是动力学分析的挑战之一。本研究采用了四种具有代表性的重力场建模方法并进行了比较。它们分别是球-球模型、椭球-球模型、惯性积分多面体法和有限元法。本研究考虑了这四种模型之间的差异,特别是它们对着陆器着陆动力学的影响。首先建立了模拟双星系统中着陆器轨道-姿态耦合运动的框架。然后对莫舒普-斯坎尼特(66391)系统第二主星的自然着陆进行了数值模拟。结果表明,在应用简化模型时,最终着陆分散度、沉降时间和滑动距离都有很大差异。根据建模精度和计算效率,未来的飞行任务应选择有限元方法。
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引用次数: 0
Evaluation of E-sail parameters on central spacecraft attitude stability using a high-fidelity rigid-flexible coupling model 利用高保真刚柔耦合模型评估电子风帆参数对中心航天器姿态稳定性的影响
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-03-13 DOI: 10.1007/s42064-023-0190-4
Chonggang Du, Zheng H. Zhu, Changqing Wang, Aijun Li, Tuanjie Li

This study examines the impact of electric solar wind sail (E-sail) parameters on the attitude stability of E-sail’s central spacecraft by using a comprehensive rigid-flexible coupling dynamic model. In this model, the nodal position finite element method is used to model the elastic deformation of the tethers through interconnected two-node tensile elements. The attitude dynamics of the central spacecraft is described using a natural coordinate formulation. The rigid-flexible coupling between the central spacecraft and its flexible tethers is established using Lagrange multipliers. Our research reveals the significant influences of parameters such as tether numbers, tether’s electric potential, and solar wind velocity on attitude stability. Specifically, solar wind fluctuations and the distribution of electric potential on the main tethers considerably affect the attitude stability of the spacecraft. For consistent management, the angular velocities of the spacecraft must remain at target values. Moreover, the attitude stability of a spacecraft has a pronounced dependence on the geometrical configuration of the E-sail, with axisymmetric E-sails proving to be more stable.

本研究通过使用一个综合刚柔耦合动力学模型,研究了电动太阳风帆(E-sail)参数对E-sail中心航天器姿态稳定性的影响。该模型采用节点位置有限元法,通过相互连接的双节点拉伸元素来模拟系绳的弹性变形。中心航天器的姿态动力学采用自然坐标法进行描述。利用拉格朗日乘法器建立了中心航天器与其柔性系绳之间的刚柔耦合。我们的研究揭示了系绳数量、系绳电动势和太阳风速度等参数对姿态稳定性的重要影响。具体来说,太阳风波动和主系绳上的电动势分布对航天器的姿态稳定性有很大影响。为了实现稳定的管理,航天器的角速度必须保持在目标值。此外,航天器的姿态稳定性与电子风帆的几何构造有明显的关系,轴对称电子风帆被证明更加稳定。
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引用次数: 0
Optimization of body configuration and joint-driven attitude stabilization for transformable spacecraft under solar radiation pressure 太阳辐射压力下可变型航天器的机体配置和关节驱动姿态稳定优化
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-02-08 DOI: 10.1007/s42064-023-0167-3
Yuki Kubo, Toshihiro Chujo

The solar sail is one of the most promising space exploration systems due to its theoretically infinite specific impulse achieved through solar radiation pressure (SRP). Recently, researchers have proposed “transformable spacecraft” capable of actively reconfiguring their body configurations using actuatable joints. Transformable spacecraft, if used similarly to solar sails, are expected to significantly enhance orbit and attitude control capabilities owing to their high redundancy in control degrees of freedom. However, controlling them becomes challenging due to their large number of inputs, leading previous researchers to impose strong constraints to limit their potential control capabilities. This study focuses on novel attitude control techniques for transformable spacecraft under SRP. We developed two methods, namely, joint angle optimization to obtain arbitrary SRP force and torque, and momentum damping control driven by joint angle actuation. Our proposed methods are formulated in a general manner and can be applied to any transformable spacecraft comprising front faces that can predominantly receive the SRP on each body. The validity of our proposed method is confirmed through numerical simulations. Our study contributes to making most of the high control redundancy of transformable spacecraft without the need for expendable propellants, thus significantly enhancing the orbit and attitude control capabilities.

太阳帆是最有前途的空间探索系统之一,因为它通过太阳辐射压力(SRP)实现了理论上的无限比冲。最近,研究人员提出了 "可变型航天器 "的建议,这种航天器能够利用可致动关节主动重新配置其主体结构。可变形航天器的使用方法与太阳帆类似,由于其控制自由度的冗余度较高,有望显著增强轨道和姿态控制能力。然而,由于其输入量大,对其进行控制具有挑战性,因此之前的研究人员对其施加了强大的约束,以限制其潜在的控制能力。本研究的重点是 SRP 条件下可变换航天器的新型姿态控制技术。我们开发了两种方法,即通过关节角度优化获得任意 SRP 力和扭矩,以及通过关节角度驱动动量阻尼控制。我们提出的方法是以通用方式制定的,可应用于任何由前端面组成的可变换航天器,这些前端面可以在每个主体上主要接收 SRP。我们提出的方法的有效性通过数值模拟得到了证实。我们的研究有助于充分利用可变换航天器的高控制冗余,而无需消耗推进剂,从而显著提高轨道和姿态控制能力。
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引用次数: 0
Characterization of Gauss–Markov stochastic sequences for mission analysis 用于任务分析的高斯-马尔科夫随机序列的特征描述
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-02-08 DOI: 10.1007/s42064-023-0183-3
Carmine Giordano

In real scenarios, the spacecraft deviates from the intended paths owing to uncertainties in dynamics, navigation, and command actuation. Accurately quantifying these uncertainties is crucial for assessing the observability, collision risks, and mission viability. This issue is further magnified for CubeSats because they have limited control authority and thus require accurate dispersion estimates to avoid rejecting viable trajectories or selecting unviable ones. Trajectory uncertainties arise from random variables (e.g., measurement errors and drag coefficients) and processes (e.g., solar radiation pressure and low-thrust acceleration). Although random variables generally present minimal computational complexity, handling stochastic processes can be challenging because of their noisy dynamics. Nonetheless, accurately modeling these processes is essential, as they significantly influence the uncertain propagation of space trajectories, and an inadequate representation can result in either underestimation or overestimation of the stochastic characteristics associated with a given trajectory. This study addresses the gap in characterizing process uncertainties, represented as Gauss–Markov processes in mission analysis, by presenting models, evaluating derived quantities, and providing results on the impact of spacecraft trajectories. This study emphasizes the importance of accurately modeling random processes to properly characterize stochastic spacecraft paths.

在真实场景中,由于动力学、导航和指令执行方面的不确定性,航天器会偏离预定路径。准确量化这些不确定性对于评估可观测性、碰撞风险和任务可行性至关重要。由于立方体卫星的控制权限有限,因此需要精确的离散性估计,以避免拒绝可行的轨迹或选择不可行的轨迹,因此这一问题在立方体卫星上被进一步放大。轨迹的不确定性来自随机变量(如测量误差和阻力系数)和过程(如太阳辐射压力和低推力加速度)。虽然随机变量通常带来的计算复杂度最小,但由于其动态变化嘈杂,处理随机过程可能极具挑战性。然而,对这些过程进行精确建模是至关重要的,因为它们会对空间轨迹的不确定性传播产生重大影响,而不适当的表征会导致低估或高估与给定轨迹相关的随机特征。本研究通过提出模型、评估导出量和提供航天器轨迹影响的结果,填补了在飞行任务分析中以高斯-马尔科夫过程表示的过程不确定性特征方面的空白。本研究强调了准确模拟随机过程对正确描述随机航天器轨迹的重要性。
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引用次数: 0
Direct-to-indirect mapping for optimal low-thrust trajectories 优化低推力轨迹的直接到直接映射
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-02-08 DOI: 10.1007/s42064-023-0164-6
David Ottesen, Ryan P. Russell

Optimal, many-revolution spacecraft trajectories are challenging to solve. A connection is made for a class of models between optimal direct and indirect solutions. For transfers that minimize thrust-acceleration-squared, primer vector theory maps direct, many-impulsive-maneuver trajectories to the indirect, continuous-thrust-acceleration equivalent. The mapping algorithm is independent of how the direct solution is obtained and requires only a solver for a boundary value problem and its partial derivatives. A Lambert solver is used for the two-body problem in this work. The mapping is simple because the impulsive maneuvers and co-states share the same linear space around an optimal trajectory. For numerical results, the direct coast-impulse solutions are demonstrated to converge to the indirect continuous solutions as the number of impulses and segments increases. The two-body design space is explored with a set of three many-revolution, many-segment examples changing semimajor axis, eccentricity, and inclination. The first two examples involve a small change to either semimajor axis or eccentricity, and the third example is a transfer to geosynchronous orbit. Using a single processor, the optimization runtime is seconds to minutes for revolution counts of 10 to 100, and on the order of one hour for examples with up to 500 revolutions. Any of these thrust-acceleration-squared solutions are good candidates to start a homotopy to a higher-fidelity minimization problem with practical constraints.

优化、多次旋转航天器轨迹的求解具有挑战性。在一类模型中,最佳直接解法和间接解法之间存在联系。对于最小化推力加速度平方的转移,引物矢量理论可将直接的多次脉冲操纵轨迹映射为间接的连续推力加速度等效轨迹。映射算法与如何获得直接解无关,只需要边界值问题求解器及其偏导数。在这项工作中,双体问题使用的是兰伯特求解器。映射很简单,因为冲动机动和共态共享最佳轨迹周围的同一线性空间。数值结果表明,随着脉冲数和段数的增加,直接的海岸-脉冲解收敛于间接的连续解。通过一组改变半长轴、偏心率和倾角的三个多旋转、多段示例,探索了双体设计空间。前两个例子涉及半长轴或偏心率的微小变化,第三个例子是转移到地球同步轨道。使用单个处理器,转数在 10 到 100 圈时的优化运行时间为几秒到几分钟,转数多达 500 圈时的优化运行时间约为一小时。这些推力-加速度-平方解决方案中的任何一个都是很好的候选方案,可以在实际约束条件下开始同调,以解决更高保真的最小化问题。
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引用次数: 0
Attitude-adjusting dynamical behavior of cubic rover on low-gravity testbed 立方体漫游车在低重力试验台上的姿态调整动力学行为
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-02-08 DOI: 10.1007/s42064-023-0185-1
Bowen Jiang, Muhammad Talha Hussain, Xiangyuan Zeng

Cubic rovers that traverse by hopping systems are promising in low-gravity environments. Although several analyses of the control methods and mobility of the cubic rover are available, investigations of its attitude-adjusting behavior are still limited. This study derives the dynamic equations of the two attitude-adjusting modes of the cubic rover, referred to as walking and twisting. The relationships between the speed threshold and rotation angle of the cubic rover were investigated in both rigid and regolith environments using a self-designed low-gravity testbed. Comparative studies were conducted by considering the experimental and simulated outputs. The results of this study can be interesting for roving mission planning when exploring planetary moons and small celestial bodies.

通过跳跃系统行进的立方体漫游车在低重力环境中大有可为。虽然目前已有一些关于立方体漫游车控制方法和机动性的分析,但对其姿态调整行为的研究仍然有限。本研究推导了立方体漫游车两种姿态调整模式(即行走和扭转)的动态方程。利用自行设计的低重力试验台,研究了立方体漫游车在刚性和碎石环境下的速度阈值与旋转角度之间的关系。通过考虑实验和模拟输出进行了比较研究。这项研究的结果对探索行星卫星和小型天体时的漫游任务规划很有意义。
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引用次数: 0
Lunar orbits for telecommunication and navigation services 用于电信和导航服务的月球轨道
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-02-08 DOI: 10.1007/s42064-023-0191-3
Marco Cinelli, Emiliano Ortore, Giovanni Mengali, Alessandro A. Quarta, Christian Circi

Orbits that are frozen in an averaged model, including the effect of a disturbing body laying on the equatorial plane of the primary body and the influence of the oblateness of the primary body, have been applied to probes orbiting the Moon. In this scenario, the main disturbing body is represented by the Earth, which is characterized by a certain obliquity with respect to the equatorial plane of the Moon. As a consequence of this, and of the perturbing effects that are not included in the averaged model, such solutions are not perfectly frozen. However, the orbit eccentricity, inclination, and argument of pericenter present limited variations and can be set to guarantee the fulfillment of requirements useful for lunar telecommunication missions and navigation services. Taking advantage of this, a practical case of a Moon-based mission was investigated to propose useful solutions for potential near-future applications.

在平均模型中冻结的轨道,包括位于主天体赤道面上的扰动天体的影响和主天体扁平的影响,已被应用于绕月探测。在这种情况下,主要扰动体是地球,其特点是相对于月球赤道面有一定的斜度。由于这种情况以及平均模型中未包含的扰动效应,这种解并不是完全冻结的。不过,轨道偏心率、倾角和圆心参数的变化有限,可以通过设置来保证满足月球电信任务和导航服务的要求。利用这一点,对一个以月球为基地的飞行任务的实际案例进行了调查,以便为潜在的近期应用提出有用的解决方案。
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引用次数: 0
Review of dynamics and active control of large-scale space membrane antenna 大型空间膜天线动力学和主动控制综述
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-02-08 DOI: 10.1007/s42064-023-0181-5
Xiang Liu, Guoping Cai

Large-scale space membrane antennas have significant potential in satellite communication, space-based early warning, and Earth observation. Because of their large size and high flexibility, the dynamic analysis and control of membrane antenna are challenging. To maintain the working performance of the antenna, the pointing and surface accuracies must be strictly maintained. Therefore, the accurate dynamic modeling and effective active control of large-scale space membrane antennas have great theoretical significance and practical value, and have attracted considerable interest in recent years. This paper reviews the dynamics and active control of large-scale space membrane antennas. First, the development and status of large-scale space membrane antennas are summarized. Subsequently, the key problems in the dynamics and active control of large membrane antennas, including the dynamics of wrinkled membranes, large-amplitude nonlinear vibration, nonlinear model reduction, rigid-flexible-thermal coupling dynamic modeling, on-orbit modal parameter identification, active vibration control, and wave-based vibration control, are discussed in detail. Finally, the research outlook and future trends are presented.

大型空间膜天线在卫星通信、天基预警和地球观测方面具有巨大潜力。由于其体积大、灵活性高,膜天线的动态分析和控制极具挑战性。为了保持天线的工作性能,必须严格保持指向和表面精度。因此,对大型空间膜天线进行精确的动态建模和有效的主动控制具有重要的理论意义和实用价值,近年来引起了广泛关注。本文综述了大尺度空间膜天线的动力学和主动控制。首先,概述了大规模空间膜天线的发展和现状。随后,详细讨论了大型膜天线动力学和主动控制的关键问题,包括皱膜动力学、大振幅非线性振动、非线性模型还原、刚-柔-热耦合动力学建模、在轨模态参数识别、主动振动控制和基于波的振动控制。最后,介绍了研究展望和未来趋势。
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引用次数: 0
A high-order target phase approach for the station-keeping of periodic orbits 周期轨道驻留的高阶目标相位法
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-02-08 DOI: 10.1007/s42064-023-0169-1
Xiaoyu Fu, Nicola Baresi, Roberto Armellin

A novel high-order target phase approach (TPhA) for the station-keeping of periodic orbits is proposed in this work. The key elements of the TPhA method, the phase-angle Poincare map and high-order maneuver map, are constructed using differential algebra (DA) techniques to determine station-keeping epochs and calculate correction maneuvers. A stochastic optimization framework tailored for the TPhA-based station-keeping process is leveraged to search for fuel-optimal and error-robust TPhA parameters. Quasi-satellite orbits (QSOs) around Phobos are investigated to demonstrate the efficacy of TPhA in mutli-fidelity dynamical models. Monte Carlo simulations demonstrated that the baseline QSO of JAXA’s Martian Moons eXploration (MMX) mission could be maintained with a monthly maneuver budget of approximately 1 m/s.

本研究提出了一种新颖的高阶目标相位法(TPhA),用于周期轨道的驻留。TPhA方法的关键要素--相位角Poincare图和高阶机动图--是利用微分代数(DA)技术构建的,用于确定驻留历元和计算校正机动。利用为基于 TPhA 的定站过程量身定制的随机优化框架来搜索燃料最优和误差稳定的 TPhA 参数。研究了围绕火卫一的准卫星轨道(QSO),以证明 TPhA 在多保真度动力学模型中的功效。蒙特卡洛模拟证明,JAXA 的火星 Moons eXploration(MMX)任务的基线 QSO 可以用大约 1 米/秒的每月机动预算来维持。
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引用次数: 0
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Astrodynamics
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