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Feasibility analysis of angles-only navigation algorithm with multisensor data fusion for spacecraft noncooperative rendezvous 航天器非合作交会多传感器数据融合纯角度导航算法的可行性分析
IF 6.1 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2022-11-23 DOI: 10.1007/s42064-022-0148-y
Ronghua Du, Wenhe Liao, Xiang Zhang

Relative navigation is crucial for spacecraft noncooperative rendezvous, and angles-only navigation using visible and infrared cameras provides a feasible solution. Herein, an angles-only navigation algorithm with multisensor data fusion is proposed to derive the relative motion states between two noncooperative spacecraft. First, the design model of the proposed algorithm is introduced, including the derivation of the state propagation and measurement equations. Subsequently, models for the sensor and actuator are introduced, and the effects of various factors on the sensors and actuators are considered. The square-root unscented Kalman filter is used to design the angles-only navigation filtering scheme. Additionally, the Clohessy—Wiltshire terminal guidance algorithm is introduced to obtain the theoretical relative motion trajectories during the rendezvous operations of two noncooperative spacecraft. Finally, the effectiveness of the proposed angles-only navigation algorithm is verified using a semi-physical simulation platform. The results prove that an optical navigation camera combined with average accelerometers and occasional orbital maneuvers is feasible for spacecraft noncooperative rendezvous using angles-only navigation.

相对导航是航天器非合作交会的关键,而使用可见光和红外相机的纯角度导航提供了一种可行的解决方案。本文提出了一种多传感器数据融合的纯角度导航算法,用于推导两个非合作航天器之间的相对运动状态。首先,介绍了该算法的设计模型,包括状态传播方程和测量方程的推导。随后,介绍了传感器和执行机构的模型,并考虑了各种因素对传感器和执行器的影响。采用平方根无迹卡尔曼滤波器设计纯角度导航滤波方案。此外,引入了Clohessy-Wiltshire末端制导算法,获得了两个非合作航天器交会过程中的理论相对运动轨迹。最后,利用半物理仿真平台验证了所提出的纯角度导航算法的有效性。结果证明,光学导航相机与平均加速度计和偶尔的轨道机动相结合,对于仅使用角度导航的航天器非合作交会是可行的。
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引用次数: 0
Closed-loop deep neural network optimal control algorithm and error analysis for powered landing under uncertainties 不确定条件下动力着陆闭环深度神经网络最优控制算法及误差分析
IF 6.1 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2022-11-23 DOI: 10.1007/s42064-022-0153-1
Wenbo Li, Yu Song, Lin Cheng, Shengping Gong

Real-time guidance is critical for the vertical recovery of rockets. However, traditional sequential convex optimization algorithms suffer from shortcomings in terms of their poor real-time performance. This work focuses on applying the deep learning-based closed-loop guidance algorithm and error propagation analysis for powered landing, thereby significantly improving the real-time performance. First, a controller consisting of two deep neural networks is constructed to map the thrust direction and magnitude of the rocket according to the state variables. Thereafter, the analytical transition relationships between different uncertainty sources and the state propagation error in a single guidance period are analyzed by adopting linear covariance analysis. Finally, the accuracy of the proposed methods is verified via a comparison with the indirect method and Monte Carlo simulations. Compared with the traditional sequential convex optimization algorithm, our method reduces the computation time from 75 ms to less than 1 ms. Therefore, it shows potential for online applications.

实时制导对于火箭的垂直回收至关重要。然而,传统的序列凸优化算法存在实时性差的缺点。这项工作的重点是将基于深度学习的闭环制导算法和误差传播分析应用于动力着陆,从而显著提高实时性能。首先,构造了一个由两个深度神经网络组成的控制器,根据状态变量映射火箭的推力方向和大小。然后,采用线性协方差分析方法,分析了不同不确定性源与单个制导周期内状态传播误差之间的分析转换关系。最后,通过与间接方法和蒙特卡罗模拟的比较,验证了所提出方法的准确性。与传统的序列凸优化算法相比,我们的方法将计算时间从75ms减少到1ms以下。因此,它显示出在线应用的潜力。
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引用次数: 1
Application of homotopy perturbation method to the radial thrust problem 同伦摄动法在径向推力问题中的应用
IF 6.1 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2022-11-23 DOI: 10.1007/s42064-022-0150-4
Lorenzo Niccolai, Alessandro A. Quarta, Giovanni Mengali

The dynamics of a spacecraft propelled by a continuous radial thrust resembles that of a nonlinear oscillator. This is analyzed in this work with a novel method that combines the definition of a suitable homotopy with a classical perturbation approach, in which the low thrust is assumed to be a perturbation of the nominal Keplerian motion. The homotopy perturbation method provides the analytical (approximate) solution of the dynamical equations in polar form to estimate the corresponding spacecraft propelled trajectory with a short computational time. The accuracy of the analytical results was tested in an orbital-targeting mission scenario.

由连续径向推力推动的航天器的动力学类似于非线性振荡器的动力学。在这项工作中,我们用一种新的方法来分析这一点,该方法将合适的同伦论的定义与经典的摄动方法相结合,其中假设低推力是名义开普勒运动的摄动。同伦微扰方法提供了极性形式动力学方程的解析(近似)解,以在短的计算时间内估计相应的航天器推进轨迹。分析结果的准确性在轨道瞄准任务场景中进行了测试。
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引用次数: 3
Adaptive connected hierarchical optimization algorithm for minimum energy spacecraft attitude maneuver path planning 最小能量航天器姿态机动路径规划的自适应连通分层优化算法
IF 6.1 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2022-11-23 DOI: 10.1007/s42064-022-0149-x
Hanqing He, Peng Shi, Yushan Zhao

Space object observation requirements and the avoidance of specific attitudes produce pointing constraints that increase the complexity of the attitude maneuver path-planning problem. To deal with this issue, a feasible attitude trajectory generation method is proposed that utilizes a multiresolution technique and local attitude node adjustment to obtain sufficient time and quaternion nodes to satisfy the pointing constraints. These nodes are further used to calculate the continuous attitude trajectory based on quaternion polynomial interpolation and the inverse dynamics method. Then, the characteristic parameters of these nodes are extracted to transform the path-planning problem into a parameter optimization problem aimed at minimizing energy consumption. This problem is solved by an improved hierarchical optimization algorithm, in which an adaptive parameter-tuning mechanism is introduced to improve the performance of the original algorithm. A numerical simulation is performed, and the results confirm the feasibility and effectiveness of the proposed method.

空间物体的观测要求和对特定姿态的回避产生了指向约束,增加了姿态机动路径规划问题的复杂性。针对这一问题,提出了一种可行的姿态轨迹生成方法,该方法利用多分辨率技术和局部姿态节点调整来获得足够的时间和四元数节点来满足指向约束。这些节点进一步用于基于四元数多项式插值和逆动力学方法计算连续姿态轨迹。然后,提取这些节点的特征参数,将路径规划问题转化为以最小化能耗为目标的参数优化问题。该问题通过一种改进的分层优化算法来解决,其中引入了自适应参数调整机制来提高原有算法的性能。通过数值模拟验证了该方法的可行性和有效性。
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引用次数: 0
Natural coupled orbit—attitude periodic motions in the perturbed-CRTBP including radiated primary and oblate secondary 微扰crtbp的轨道-姿态自然耦合周期运动,包括辐射初级和扁次级
IF 6.1 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2022-11-23 DOI: 10.1007/s42064-022-0154-0
Majid Bakhtiari, Ehsan Abbasali, Siavash Sabzy, Amirreza Kosari

This study investigated periodic coupled orbit—attitude motions within the perturbed circular restricted three-body problem (P-CRTBP) concerning the perturbations of a radiated massive primary and an oblate secondary. The radiated massive primary was the Sun, and each planet in the solar system could be considered an oblate secondary. Because the problem has no closed-form solution, numerical methods were employed. Nevertheless, the general response of the problem could be non-periodic or periodic, which is significantly depended on the initial conditions of the orbit-attitude states. Therefore, the simultaneous orbit and attitude initial states correction (SOAISC) algorithm was introduced to achieve precise initial conditions. On the other side, the conventional initial guess vector was essential as the input of the correction algorithm and increased the probability of reaching more precise initial conditions. Thus, a new practical approach was developed in the form of an orbital correction algorithm to obtain the initial conditions for the periodic orbit of the P-CRTBP. This new proposed algorithm may be distinguished from previously presented orbital correction algorithms by its ability to propagate the P-CRTBP family orbits around the Lagrangian points using only one of the periodic orbits of the unperturbed CRTBP (U-CRTBP). In addition, the Poincaré map and Floquet theory search methods were used to recognize the various initial guesses for attitude parameters. Each of these search methods was able to identify different initial guesses for attitude states. Moreover, as a new innovation, these search methods were applied as a powerful tool to select the appropriate inertia ratio for a satellite to deliver periodic responses from the coupled model. Adding the mentioned perturbations to the U-CRTBP could lead to the more accurate modeling of the examination environment and a better understanding of a spacecraft’s natural motion. A comparison between the orbit-attitude natural motions in the unperturbed and perturbed models was also conducted to show this claim.

本文研究了受摄动的圆形约束三体问题(P-CRTBP)中的轨道-姿态周期耦合运动,该问题涉及辐射大质量初级和扁圆形次级的摄动。辐射的大质量初级行星是太阳,太阳系中的每一颗行星都可以被视为扁圆形次级行星。由于该问题没有闭合形式的解,因此采用了数值方法。然而,该问题的一般响应可能是非周期性的或周期性的,这在很大程度上取决于轨道姿态状态的初始条件。因此,引入了轨道和姿态同时初始状态校正(SOISC)算法来实现精确的初始条件。另一方面,传统的初始猜测向量作为校正算法的输入是必不可少的,并增加了达到更精确初始条件的概率。因此,以轨道校正算法的形式开发了一种新的实用方法,以获得P-CRTBP周期轨道的初始条件。该新提出的算法可以通过其仅使用未受扰动的CRTBP(U-CRTBP)的周期轨道中的一个来传播围绕拉格朗日点的P-CRTBP族轨道的能力来与先前提出的轨道校正算法区分开来。此外,还使用庞加莱映射和Floquet理论搜索方法来识别姿态参数的各种初始猜测。这些搜索方法中的每一种都能够识别出对姿态状态的不同初始猜测。此外,作为一项新的创新,这些搜索方法被用作一种强大的工具,为卫星选择合适的惯性比,以从耦合模型中传递周期性响应。将上述扰动添加到U-CRTBP中,可以对检查环境进行更准确的建模,并更好地了解航天器的自然运动。还对未扰动和扰动模型中的轨道姿态自然运动进行了比较,以证明这一说法。
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引用次数: 2
Astrometric calibration and source characterisation of the latest generation neuromorphic event-based cameras for space imaging 用于空间成像的最新一代基于神经形态事件的相机的天体测量校准和源特性
IF 6.1 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2022-11-17 DOI: 10.1007/s42064-023-0168-2
N. Ralph, Alexandre Marcireau, Saeed Afshar, N. Tothill, André van Schaik, Gregory Cohen
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引用次数: 3
Message from the Guest Editors of the Special Issue on Asteroid Exploration 《小行星探索》特刊特邀编辑寄语
IF 6.1 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2022-11-05 DOI: 10.1007/s42064-022-0155-z
Dong Qiao, Jiangchuan Huang, Xiangyu Li
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引用次数: 0
On-board modeling of gravity fields of elongated asteroids using Hopfield neural networks 利用Hopfield神经网络对细长小行星的重力场进行星载建模
IF 6.1 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2022-11-05 DOI: 10.1007/s42064-022-0151-3
Yingjie Zhao, Hongwei Yang, Shuang Li, Yirong Zhou

To rapidly model the gravity field near elongated asteroids, an intelligent inversion method using Hopfield neural networks (HNNs) is proposed to estimate on-orbit simplified model parameters. First, based on a rotating mass dipole model, the gravitational field of asteroids is characterized using a few parameters. To solve all the parameters of this simplified model, a stepped parameter estimation model is constructed based on different gravity field models. Second, to overcome linearization difficulties caused by the coupling of the parameters to be estimated and the system state, a dynamic parameter linearization technique is proposed such that all terms except the parameter terms are known or available. Moreover, the Lyapunov function of the HNNs is matched to the problem of minimizing parameter estimation errors. Equilibrium values of the Lyapunov function are used as estimated values. The proposed method is applied to natural elongated asteroids 216 Kleopatra, 951 Gaspra, and 433 Eros. Simulation results indicate that this method can estimate the simplified model parameters rapidly, and that the estimated simplified model provides a good approximation of the gravity field of elongated asteroids.

为了快速建立细长小行星附近的重力场模型,提出了一种基于Hopfield神经网络(HNNs)的在轨简化模型参数估计智能反演方法。首先,基于旋转质量偶极子模型,利用几个参数对小行星引力场进行表征。为了求解该简化模型的所有参数,建立了基于不同重力场模型的阶梯式参数估计模型。其次,为了克服因待估计参数与系统状态耦合而造成的线性化困难,提出了一种除参数项外的所有项都已知或可用的动态参数线性化技术。此外,hnn的Lyapunov函数与参数估计误差最小化问题相匹配。用李雅普诺夫函数的平衡值作为估计值。所提出的方法适用于自然细长的小行星216 Kleopatra, 951 Gaspra和433 Eros。仿真结果表明,该方法能快速估计出简化模型参数,简化模型能较好地逼近细长小行星的重力场。
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引用次数: 1
Design and guidance of a multi-active debris removal mission 多主动碎片清除任务的设计与指导
IF 6.1 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2022-10-21 DOI: 10.1007/s42064-023-0159-3
M. Wijayatunga, R. Armellin, Harry Holt, L. Pirovano, A. Lidtke
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引用次数: 3
Stretching directions in cislunar space: Applications for departures and transfer design 顺月空间的拉伸方向:出发与换乘设计的应用
IF 6.1 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2022-09-29 DOI: 10.1007/s42064-022-0147-z
Vivek Muralidharan, Kathleen C. Howell

Stable or nearly stable orbits do not generally possess well-distinguished manifold structures that assist in designing trajectories for departing from or arriving onto a periodic orbit. For some potential missions, the orbits of interest are selected as nearly stable to reduce the possibility of rapid departure. However, the linearly stable nature of these orbits is also a drawback for their timely insertion into or departure from the orbit. Stable or nearly stable near rectilinear halo orbits (NRHOs), distant retrograde orbits (DROs), and lunar orbits offer potential long-horizon trajectories for exploration missions and demand efficient operations. The current investigation focuses on leveraging stretching directions as a tool for departure and trajectory design applications. The magnitude of the state variations along the maximum stretching direction is expected to grow rapidly and, therefore, offers information for efficient departure from the orbit. Similarly, maximum stretching in reverse time enables arrival with a minimal maneuver magnitude.

稳定或几乎稳定的轨道通常不具有有助于设计从周期轨道出发或到达周期轨道的轨道的良好区分的流形结构。对于一些潜在的任务,感兴趣的轨道被选择为几乎稳定,以减少快速离开的可能性。然而,这些轨道的线性稳定性质也是它们及时插入或离开轨道的缺点。稳定或近乎稳定的近直线晕轨道(NRHO)、远逆行轨道(DRO)和月球轨道为探测任务提供了潜在的长地平线轨道,并要求高效运行。目前的研究重点是利用拉伸方向作为出发和轨迹设计应用的工具。沿着最大拉伸方向的状态变化幅度预计将迅速增长,因此,为有效离开轨道提供了信息。类似地,反向时间的最大拉伸使到达时的机动幅度最小。
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引用次数: 2
期刊
Astrodynamics
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