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Near-optimal maneuver design for high-accuracy trans-lunar injection with highly elliptical phasing loops 利用高椭圆相位环实现高精度跨月注入的近优机动设计
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-08-09 DOI: 10.1007/s42064-024-0205-9
Haiyue Ao, Yu Shi, Pengbin Guo, Hao Zhang

To match the trans-lunar injection with high accuracy, a near-optimal orbit control method for phasing loops is proposed. Sensitivity analysis was performed based on Gauss’s variational equations, and a near-optimal orbit control strategy was developed. A sequential shooting method was proposed to reduce the dimensions of each shooting problem and improve convergence. To satisfy the accessibility requirements of ground facilities, a maneuvering location adjustment strategy is proposed. The advantage of the delta-V saving of the near-optimal method was verified by comparing with the differential correction method. The robustness of the practical method was verified using Monte Carlo simulations with high-fidelity dynamics. The results of this study can be applied to midcourse correction of phasing loops before the trans-lunar injection of a lunar probe.

为了高精度地匹配跨月注入,提出了一种相位环的近优轨道控制方法。根据高斯变分方程进行了灵敏度分析,并制定了近优轨道控制策略。提出了一种顺序拍摄方法,以减少每个拍摄问题的尺寸并提高收敛性。为满足地面设施的可达性要求,提出了机动位置调整策略。通过与差分修正法的比较,验证了近优方法节省ΔV 的优势。利用高保真动态蒙特卡洛模拟验证了实用方法的稳健性。这项研究的结果可应用于月球探测器跨月注入前的相位环中期校正。
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引用次数: 0
Message from the Guest Editors of the Special Issue on Precise Orbit Determination 精确轨道测定特刊特邀编辑的致辞
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-07-08 DOI: 10.1007/s42064-024-0234-4
Xiyun Hou, Jay W. McMahon
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引用次数: 0
Precise orbit determination for Tianwen-1 during mapping phase 天文一号在测绘阶段的精确轨道测定
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-07-04 DOI: 10.1007/s42064-024-0226-4
Shanhong Liu, Jing Kong, Jianfeng Cao, Hao Huang, Haijun Man, Jianguo Yan, Xie Li

The mapping phase is a key stage of the Tianwen-1 orbiter. It has the longest exploration time and gathers abundant radio tracking data via the Chinese deep space network. Thus, it also provides opportunities for radio science research topics such as the Mars gravity field model, ephemeris, and radio occultation experiments. At this stage, the need for imaging takes the highest priority, leading to frequent attitude adjustments for the spacecraft, which presents challenges for Precise Orbit Determination (POD). To improve the accuracy of the spacecraft’s orbit, this study analyzes the effects of arc length, the empirical acceleration, and the solar radiation pressure parameters on POD, considering the limited number of radio tracking observations. For one-day arcs, the POD is not able to adequately account for wheel off-loading and a few unknown forces with limited observations, but reasonable fitting is performed for the wheel off-loading occurring during tracking periods or the gap between two tracking periods. When extending the POD arc to three days, the estimated empirical acceleration can be well-fitted and reflects the aggregation feature, but the solar radiation pressure parameter has little impact on POD results. The root mean square of two-way range-rate residuals after POD is about 0.18–0.35 mm/s; the orbital position accuracy of 60% of the arcs is better than 100 m.

测绘阶段是天文一号轨道飞行器的关键阶段。它的探测时间最长,可通过中国深空网络收集丰富的无线电跟踪数据。因此,它也为火星重力场模型、星历和射电掩星实验等射电科学研究课题提供了机会。在这一阶段,成像需求最为优先,导致航天器需要频繁调整姿态,这给精确轨道确定(POD)带来了挑战。为了提高航天器轨道的精确度,考虑到无线电跟踪观测的数量有限,本研究分析了弧长、经验加速度和太阳辐射压力参数对 POD 的影响。对于一天的弧长,由于观测数据有限,POD 无法充分考虑车轮卸载和一些未知力的影响,但对于跟踪期间或两个跟踪期间之间发生的车轮卸载进行了合理拟合。当 POD 弧度扩展到三天时,估计的经验加速度可以很好地拟合,并反映出聚集特征,但太阳辐射压力参数对 POD 结果影响不大。POD 后的双向测距速率残差的均方根约为 0.18-0.35 毫米/秒;60% 的弧线的轨道位置精度优于 100 米。
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引用次数: 0
Initial orbit determination of some cislunar orbits based on short-arc optical observations 基于短弧光学观测的某些顺星轨道的初始轨道测定
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-06-15 DOI: 10.1007/s42064-024-0210-z
Xiyun Hou, Bosheng Li, Xin Liu, Haowen Cheng, Ming Shen, Peng Wang, Xiaosheng Xin

Ground- and space-based optical observation is an efficient way to catalog objects in the cislunar space. Initial orbit determination based on optical data is still an open problem for cislunar objects. The motion of these objects usually follows the law of three bodies instead of the two-body one, so current algorithms based on the two-body relation should be revised. Moreover, due to the long duration of most cislunar objects, optical observations of even hours can cover only a small fraction of one orbit, making the initial orbit determination of these objects a typical too-short-arc problem, which is difficult. A way to address this problem is to use the admissible region. In this study, an efficient algorithm constrained by the admissible region is proposed. It is easy to implement because it uses only simple iterations. Its efficiency is proven by comparing it with that of one traditional initial orbit determination algorithm.

地基和空基光学观测是对星空间物体进行编目的有效方法。基于光学数据的初始轨道确定对于星月天体来说仍然是一个悬而未决的问题。这些天体的运动通常遵循三体定律而不是二体定律,因此目前基于二体关系的算法应予以修订。此外,由于大多数日月天体的持续时间很长,即使几个小时的光学观测也只能覆盖一个轨道的一小部分,因此这些天体的初始轨道确定是一个典型的太短弧问题,难度很大。解决这一问题的方法是利用可容许区域。本研究提出了一种受可容许区域约束的高效算法。该算法易于实现,因为它只使用了简单的迭代。通过与一种传统的初始轨道确定算法进行比较,证明了它的效率。
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引用次数: 0
Message from the Guest Editors of the Special Issue on Tethered Satellite System 系留卫星系统特刊特邀编辑的致辞
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-06-13 DOI: 10.1007/s42064-024-0231-7
Rui Zhong, Ming Xu
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引用次数: 0
Controlled deployment of a long tether to operate as a partial space elevator 受控部署长系绳,作为部分太空电梯运行
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-06-10 DOI: 10.1007/s42064-024-0225-5
Jinbang Huang, Arun K. Misra

The deployment of a long tether to operate as a partial space elevator, starting from a nucleus in geostationary orbit, is studied. Uncontrolled deployment is an inherently unstable process because the center of orbit gradually decreases from the geostationary altitude when deployment progresses. It is also observed that the elasticity of the tether has an important effect on deployment stability. It is shown that the application of a transverse force on the main spacecraft, determined by using linear state feedback and appropriate gains, can stabilize the deployment. An LQR controller is developed. Simulations of the dynamics of the system are carried out using this controller for various parametric values of tether elasticity, deployment rates, etc., to evaluate the efficacy of the controller.

研究了从地球静止轨道上的一个核心开始部署长系绳作为部分空间电梯运行的问题。不受控制的展开本身就是一个不稳定的过程,因为在展开过程中,轨道中心会从地球静止高度逐渐下降。还观察到系绳的弹性对布放稳定性有重要影响。研究表明,利用线性状态反馈和适当的增益确定主航天器上的横向力,可以稳定部署。开发了一个 LQR 控制器。利用该控制器对系绳弹性、部署率等不同参数值进行了系统动态模拟,以评估控制器的功效。
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引用次数: 0
Real-time hybrid method for maneuver detection and estimation of non-cooperative space targets 用于非合作空间目标机动检测和估计的实时混合方法
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-06-06 DOI: 10.1007/s42064-024-0203-y
Peng Zhang, Di Wu, Hexi Baoyin

A novel hybrid scheme for the maneuver detection and estimation of a noncooperative space target was proposed in this study. The optical measurements, together with the range and range rate measurements from the ground-based radars, were used in the tracking scenarios. In many tracking scenarios, radar resources for non-cooperative targets are constrained, particularly for near-earth targets, where multiple objects can only be tracked by a single radar at a time. This limitation hinders the accurate estimation of noncooperative target maneuvers, and can at times result in target loss. Existing literature has addressed this issue to some extent through various maneuvering target-tracking methods. To address this problem, a hybrid maneuver detection and estimation method that combines the input detection and estimation extended kalman filter and the weighted nonlinear least squares method is presented. Simulation results demonstrate that the proposed method outperforms the previous method, offering more accurate and efficient estimations.

本研究提出了一种新的混合方案,用于非合作空间目标的机动探测和估计。在跟踪场景中使用了光学测量结果以及地面雷达的测距和测距率测量结果。在许多跟踪场景中,用于非合作目标的雷达资源是有限的,特别是对于近地目标,同一时间只能由一台雷达跟踪多个目标。这种限制妨碍了对非合作目标机动性的准确估计,有时还会导致目标丢失。现有文献通过各种机动目标跟踪方法在一定程度上解决了这一问题。为解决这一问题,本文提出了一种混合机动检测和估计方法,该方法结合了输入检测和估计扩展卡尔曼滤波器以及加权非线性最小二乘法。仿真结果表明,所提出的方法优于先前的方法,能提供更准确、更高效的估计。
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引用次数: 0
Integrated attitude—orbit control of solar sail with single-axis gimbal mechanism 带单轴万向节机构的太阳帆综合姿态轨道控制装置
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-05-24 DOI: 10.1007/s42064-023-0192-2
Toshihiro Chujo, Kei Watanabe, Yuki Takao

A new attitude control method for solar sails is proposed using a single-axis gimbal mechanism and three-axis reaction wheels. The gimbal angle is varied to change the geometrical relationship between the force due to solar radiation pressure (SRP) and the center of mass of the spacecraft, such that the disturbance torque is minimized during attitude maintenance for orbit control. Attitude maneuver and maintenance are performed by the reaction wheels based on the quaternion feedback control method. Even if angular momentum accumulates on the reaction wheels due to modelling error, it can also be unloaded by using the gimbal to produce suitable torque due to SRP. In this study, we analyzed the attitude motion under the reaction wheel control by linearizing the equations of motion around the equilibrium point. Further, we newly derived the propellent-free unloading method based on the analytical formulation. Finally, we constructed the integrated attitude-orbit control method, and its validity was verified in integrated attitude-orbit control simulations.

利用单轴万向节机构和三轴反作用轮,提出了一种新的太阳帆姿态控制方法。通过改变万向节角度来改变太阳辐射压力(SRP)和航天器质心之间的几何关系,从而在轨道控制的姿态维持过程中将干扰力矩降至最低。姿态机动和维持由反作用轮根据四元数反馈控制方法执行。即使由于建模误差而导致角动量在反作用力轮上积累,也可以通过使用万向节来卸载角动量,从而产生适当的 SRP 扭矩。在本研究中,我们通过对平衡点周围的运动方程进行线性化,分析了反作用力轮控制下的姿态运动。此外,我们还在分析公式的基础上新推导出了无推进剂卸载方法。最后,我们构建了综合姿态轨道控制方法,并在综合姿态轨道控制仿真中验证了该方法的有效性。
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引用次数: 0
Optimal orbit transfer of single-tether E-sail with inertially fixed spin axis 具有惯性固定自旋轴的单系电子帆的最佳轨道转移
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-05-13 DOI: 10.1007/s42064-023-0194-0
Alessandro A. Quarta, Marco Bassetto, Giovanni Mengali

This study analyzes the optimal transfer trajectory of a spacecraft propelled by a spin-stabilized electric solar wind sail (E-sail) with a single conducting tether and a spin axis with a fixed direction in an inertial (heliocentric) reference frame. The approach proposed in this study is useful for rapidly analyzing the optimal transfer trajectories of the current generation of small spacecraft designed to obtain in-situ evidence of the E-sail propulsion concept. In this context, starting with the recently proposed thrust model for a single-tether E-sail, this study discusses the optimal control law and performance in a typical two-dimensional interplanetary transfer by considering the (binary) state of the onboard electron emitter as the single control parameter. The resulting spacecraft heliocentric trajectory is a succession of Keplerian arcs alternated with propelled arcs, that is, the phases in which the electron emitter is switched on. In particular, numerical simulations demonstrated that a single-tether E-sail with an inertially fixed spin axis can perform a classical mission scenario as a circle-to-circle two-dimensional transfer by suitably varying a single control parameter.

本研究分析了由自旋稳定的太阳风电动帆(E-sail)推进的航天器的最佳转移轨迹,E-sail带有单根导电系绳,自旋轴在惯性(日心)参照系中方向固定。本研究中提出的方法有助于快速分析当前一代小型航天器的最佳转移轨迹,这些航天器的设计目的是获得电帆推进概念的现场证据。在此背景下,本研究从最近提出的单系电子帆推力模型开始,通过将机载电子发射器的(二元)状态视为单一控制参数,讨论了典型的二维星际转移中的最优控制法则和性能。由此得出的航天器日心轨迹是开普勒弧线与推进弧线交替出现的连续轨迹,即电子发射器开启的阶段。数值模拟特别表明,具有惯性固定自旋轴的单系绳电子帆可以通过适当改变单一控制参数,以圆周到圆周的二维转移方式执行经典的飞行任务。
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引用次数: 0
Dynamic analysis of tethered defunct satellites with solar panels 带太阳能电池板的系留失效卫星的动态分析
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-05-13 DOI: 10.1007/s42064-024-0206-8
Rui Qi, Yang Zhang, Heng Jiang, Rui Zhong

A precise dynamic model for towing and removing a defunct satellite with solar panels in orbit using a tethered net often has low computational efficiency owing to the complex contact and collision between the net and panels, which is not conducive to research. To solve this problem, a “single main tether–multiple subtether” bifurcation structure with beads was employed as the tethered net model. This study investigated the dynamics of tethered defunct satellites with solar panels, particularly the behavior of the attitude of the tethered satellite, oscillation of the main tether, and vibration of solar panels under different conditions. The results showed that different attachment configurations of the subtethers and the flexibility of the main tether have an evident impact on the dynamic characteristics of the system.

由于系留网与太阳能电池板之间复杂的接触和碰撞,利用系留网牵引和移除轨道上带有太阳能电池板的失效卫星的精确动态模型往往计算效率较低,不利于研究。为解决这一问题,采用了带珠子的 "单主系绳-多副系绳 "分叉结构作为系留网模型。该研究探讨了带有太阳能电池板的系留失效卫星的动力学特性,特别是不同条件下系留卫星的姿态、主系绳的振荡和太阳能电池板的振动行为。结果表明,副系留器的不同连接配置和主系留器的灵活性对系统的动态特性有明显的影响。
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引用次数: 0
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Astrodynamics
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