利用"火星快车"三程多普勒跟踪数据限定局部洛伦兹不变性

目前航天器的三程多普勒跟踪技术已经在深空探测的控制与导航领域起到了重要作用。利用包含了对局部洛伦兹不变性(LLI)以及局部位置不变性(LPI)原理有破坏的三程多普勒跟踪理论,研究分析了"火星快车"(MEX)三程多普勒跟踪数据的残差。这些多普勒观测于2009年8月7日和8日进行,利用了欧洲航天局(ESA)在澳大利亚新诺舍(New Norcia)的上行站和三个分别在中国上海、昆明以及乌鲁木齐的下行站。我们发现,这些观测结果给出的LLI上限在10-2的量级。但由于各观测站本身对频率测量的精度有限,这些数据并不适合于检验LPI。     

基于FEM的引力参考传感器自引力计算与补偿

空间引力波探测太极计划将利用激光干涉的方法,测量两个检验质量之间的距离变化反演引力波信息。在0.1 mHz处,要求检验质量在敏感轴方向的总残余加速度保持在■以下。由航天器载荷静引力、热形变和质量波动引起的自引力噪声是检验质量的残余加速度噪声主要来源之一,要求检验质量在敏感轴方向的自引力加速度小于1×10^-10m/s²,引力梯度小于5×10^-8s^-2。为了计算检验质量处的自引力大小和引力梯度,针对检验质量与引力源几何形状的不规则性,基于有限元法编写程序计算了引力参考传感器中的引力源作用在检验质量上的线加速度、角加速度和引力梯度。为了缩短计算时间,提出“类自适应”网格划分方法以减小网格数量,并设计了配重以补偿自引力。计算结果显示,经过补偿后的检验质量在敏感轴方向的自引力加速度为9.237 7×10^-12m/s²,引力梯度为-2.569 1×10^-8s^-2,满足设计要求。本研究能够为航天器和引力参考传感器的设计与引力补...     

高精度星载SAR多普勒参数估算方法

提出了一种基于空间坐标转换,利用卫星位置、速度参数精确估算星载SAR(Synthetic Aperture Radar)全观测带多普勒参数的方法.利用卫星速度、位置,通过星载SAR空间几何模型和坐标转换关系,建立SAR图像中斜距同卫星下视角之间的四次方程,解出下视角并进一步计算出该斜距处的多普勒参数值.仿真结果表明,该方法在无卫星位置、速度误差情况下估算精度达到0.02Hz(多普勒中心频率)和2×10-4Hz/s(多普勒调频率);存在卫星位置测量误差(300m)以及速度测量误差(0.3m/s)的情况下,估算精度达到0.8Hz(多普勒中心频率)和0.07Hz/s(多普勒调频率).该方法适用于单星SAR以及分布式SAR高精度多普勒参数的估算.      

天线罩干扰下的雷达/红外复合导引头数据融合

针对雷达/红外复合导引头中存在天线罩折射以及外部干扰问题,在三维模型下,提出一种基于扩展卡尔曼滤波(EKF,Extended Kalman Filter)的多模型算法,对天线罩斜率进行估计,并将估计结果代入EKF,降低观测视线角中的天线罩折射干扰,形成最优局部估计.采用基于环境信息的加权因子法对雷达/红外局部估计结果进行融合,通过环境信息度量传感器测量结果的可信度,忽略不可信的局部估计结果.设计4组算例检验融合算法性能,仿真结果表明:所提算法可以准确估计天线罩斜率,合理并有效使用雷达/红外传感器信息,提高系统估计精度.     

包含引力辅助变轨的三体Lambert问题求解算法

对包含引力辅助变轨的三体Lambert问题提出了一种数值求解算法,分为转移轨道初始设计和终值搜索两部分.采用伪状态理论,通过简单迭代求解高精度的转移轨道初始设计结果,在此基础之上,通过数值积分在更复杂的摄动环境中,计算精确的转移轨道和一二阶状态转移矩阵,并利用二阶微分修正算法搜索最终解.经过数值算例检验,这种方法具有较高的效率和鲁棒性,可以有效解决三体系统中引力辅助转移轨道的高敏感性问题.     

包含引力辅助变轨的三体Lambert问题求解算法

对包含引力辅助变轨的三体Lambert问题提出了一种数值求解算法,分为转移轨道初始设计和终值搜索两部分.采用伪状态理论,通过简单迭代求解高精度的转移轨道初始设计结果,在此基础之上,通过数值积分在更复杂的摄动环境中,计算精确的转移轨道和一二阶状态转移矩阵,并利用二阶微分修正算法搜索最终解.经过数值算例检验,这种方法具有较高的效率和鲁棒性,可以有效解决三体系统中引力辅助转移轨道的高敏感性问题.     

X射线脉冲星自主导航的卫星运动方程

基于X射线脉冲星的卫星自主导航模型中, 无论从理论上还是从测量精度方面考虑, 光子到达时间测量方程(观测方程)和卫星运动方程(状态方程)应在同一参考系中讨论. 在DSX体系中太阳系质心系是惯性系, 可以使用现行时间测量方程, 但卫星摄动加速度中除了地球多极矩、日月引力摄动和太阳光压三项外, 还应考虑相对论修正项, 计算表明该修正项导致卫星位置误差在10m量级. 而地心系是非惯性系, 在此系中卫星运动方程中的相对论效应导致卫星误差在10 cm量级, 因而可以忽略, 但要将BCRS的时间测量方程转换到GCRS中. 在此基础上建立的导航模型较为精确和完整.      

空间引力红移实验的原理与精度

通过对文献[4, 5]关于空间引力红移实验原理与精度的分析,根据爱因斯坦惯性力与引力等效的原理,提出在航天器内部,重力的大部分被惯性力抵消,因而其中的微重力比轨道重力小很多(失重).因此,应当把星载原子钟的重力势取为与微重力相当的有效重力势,而不能简单地将星载钟的重力势取为轨道重力势.另外,检验相对论红移需要将理论值与实验值进行对比,这两种数值均具有误差,而检验精度取决于误差较大者.因此,如果不提高地球重力模型(例如EGM2008)精度而只提高测量精度则不能提高检验精度.     

mA级恒流源逆向建模高准确度测量

通过对I/V -ADC过程的逆向建模 ,补偿了I/V -ADC过程的非线性和受温度等环境因素影响产生的测量误差 ,提高了对高准确度恒流源的测量准确度。建模过程简单 ,易于实现。     

空间高精度惯性导航的后牛顿模型

将广义相对论中的惯性系概念引入惯性导航,根据后牛顿引力理论,提出一种新的航天器惯性导航模型.以地球周围的测地运动物体为随动惯性参考系,利用航天器机载加速度计测量的比力和引力梯度作为观测量,通过求解航天器相对于随动惯性系的状态量达到导航定位目的.该方法用于高轨卫星时可以获得较高的测量精度,误差主要来源于惯性元件的测量以及随动惯性系测地轨迹设计,不存在现有惯性导航模型中随时间而累积的误差.     

Impact analysis of the transponder time delay on radio-tracking observables

Accurate tracking of probes is one of the key points of space exploration. Range and Doppler techniques are the most commonly used. In this paper we analyze the impact of the transponder delay, $i.e$. the processing time between reception and re-emission of a two-way tracking link at the satellite, on tracking observables and on spacecraft orbits. We show that this term, only partially accounted for in the standard formulation of computed space observables, can actually be relevant for future missions with high nominal tracking accuracies or for the re-processing of old missions. We present several applications of our formulation to Earth flybys, the NASA GRAIL and the ESA BepiColombo missions.     

Carrier-Doppler-based real-time two way satellite frequency transfer and its application in BeiDou system

Two-way satellite time and frequency transfer (TWSTFT) method is valuable for precise time and frequency transfer. The frequency could be directly transferred by utilizing two-way carrier Doppler measurement. This method requires each station observing both its own and associated station’s transponder signals transferred by satellite. In BeiDou system (BDS), the reference station and the field station construct a two-way link via a GEO satellite, and the field station sends pseudorange and carrier phase information to the reference station by transmission signal, in order to achieve real time TWSTFT. This paper analyzes the theory of carrier Doppler based TWSTFT (called CD-TWSTFT), and validates it by using on line data of BDS. The results demonstrated that the performance of CD TWSTFT is much better than code based TWSTFT in short-term frequency transfer and almost same at long-term frequency transfer.     

双站跟踪模式下“嫦娥4号”中继星定轨仿真分析

位于地月平动点的探测器因为较差的观测几何,需要地基USB/UXB与天文VLBI长时间的联合跟踪数据获取稳定精确的轨道。提出了利用中国深空网双站共视跟踪平动点探测器,获取双程、三程测距及VLBI测量数据,解算探测器精确轨道的模式。以"鹊桥"卫星为分析对象,首先评估中国深空网对"鹊桥"的跟踪能力。然后分析不同观测组合模式下的定轨计算精度。结果表明:双站共视约束下,深空站每天对"鹊桥"跟踪弧长大于5 h;使用长于6 h的双站跟踪数据进行定轨,系统差的解算更有利于轨道精度提升;跟踪时长超过2天时,必须在轨道解算的同时估计光压系数,并有望实现优于百米的轨道精度。     

Long-wavelength lunar gravity field recovery from simulated orbit and inter-satellite tracking data

As has been demonstrated recently, inter-satellite Ka-band tracking data collected by the GRAIL (Gravity Recovery And Interior Laboratory) spacecraft have the potential to improve the resolution and accuracy of the lunar gravity field by several orders of magnitude compared to previous models. By means of a series of simulation studies, here we investigate the contribution of inter-satellite ranging for the recovery of the Moon’s gravitational features; the evaluation of results is made against findings from ground-based Doppler tracking. For this purpose we make use of classical dynamic orbit determination, supported by the analysis of satellite-to-satellite tracking observations. This study sheds particularly light on the influence of the angular distance between the two satellites, solar radiation modeling and the co-estimation of the lunar Love number k₂. The quality of the obtained results is assessed by gravity field power spectra, gravity anomalies and precision orbit determination. We expect our simulation results to be supportive for the processing of real GRAIL data.     

双程多卜勒测速

本文从双程多卜勒测速概念出发,给出了双程多卜勒方程提出主要的测量方法和误差源,并对多卜勒测量方法的平均误差作了分析。为了直观起见,本文用几何法推导出多卜勒因子。本文在讨论一般常用的二种测量方法的基础上提出了一种比较理想的方法,这个方法已在实际设备中得到了应用。为了分析测速误差,文中提出了几种主要误差源,尤其是第十种误差源在自旋卫星采用某些特殊天线时必须予以考虑。最后着重分析了多卜勒测量方法和平均误差。在弄清楚平均误差概念的基础上,分析了影响此项误差的主要因素。     

Overview of TDRSS

The National Aeronautics and Space Administration (NASA) has developed the Tracking and Data Relay Satellite (TDRS) System (TDRSS) for operational tracking and communications support of low Earth-orbiting satellites. TDRSS currently consists of five geosynchronous spacecraft and the White Sands Complex (WSC) at White Sands, New Mexico. The Bilateration Ranging Transponder (BRT) System (BRTS) supports range and Doppler measurements for each TDRS using standard user tracking services. These measurements are used to generate well-determined ephemerides for the TDRSs. TDRSS provides S-band and Ku-band services through the single access (SA) antennas and S-band services through the S-band multiple access (SMA) phased array. TDRSS is capable of supporting coherent range and two-way Doppler tracking as well as noncoherent one-way return-link and one-way forward-link Doppler tracking of user spacecraft. Accurate one-way return-link tracking, which can use SMA, the most available TDRSS resource, requires a stable oscillator onboard the user spacecraft as the source of frequency. Two-way and one-way return-link tracking measurements are used for ground orbit determination for navigation and precise positioning; one-way forward-link tracking is used for autonomous onboard navigation with achievable accuracies better than those of the Global Positioning System (GPS) Precise Positioning System (PPS). This overview will discuss the various tracking and navigation capabilities of TDRSS, as well as many of the operational and research applications that have been conducted for missions such as Landsat-4, Ocean Topography Experiment (TOPEX)/Poseidon (T/P), Cosmic Background Explorer (COBE), and Extreme Ultraviolet Explorer (EUVE).     

火星探测VLBI测定轨技术

我国将于2020年首次发射由环绕器和着陆巡视器组成的火星探测器,火星探测器的跟踪及精密测定轨是完成工程任务和科学探测的基础。火星探测器的跟踪和测定轨,目前主要采用基于地面无线电测量的测距、测速和甚长基线干涉VLBI测角3种手段。主要针对VLBI技术予以介绍,主要内容为:△DOR型VLBI技术在国内外的应用情况、火星探测器VLBI测定轨技术分析、基于同波束VLBI的火星车定位技术、火星探测器VLBI观测等。这些内容对我国的火星探测器测定轨有重要的应用价值。     

Three-dimensional tracking of a lunar satellite with differential Very-Long-Baseline-Interferometry

Lunar gravimetry mission in the Japanese lunar exploration project SELENE (Selenological and Engineering Explorer) is characterized by inter-satellite tracking by means of a relay satellite in a high eccentric orbit, combined with differential Very-Long-Baseline-Interferometry (ΔVLBI) and conventional 2-way Doppler tracking. ΔVLBI provides information on the satellite position and velocity complementary to conventional range and range rate measurement, and allows us to measure lunar gravitational accelerations in all the three components. In this article, ΔVLBI and 2-way Doppler numerical simulation results are compared to those obtained from 2-way Doppler observations only, so that we can evaluate the contribution of ΔVLBI to the SELENE lunar gravimetry mission.     

PDE model-based boundary control of a spacecraft with double flexible appendages under prescribed performance

This paper investigates a boundary control scheme of a spacecraft with double flexible appendages under prescribed performance. The flexible spacecraft system comprises a rigid central hub and two flexible appendages regarded as continuum models, so that the motion of the system can be portrayed by using partial differential equations (PDEs). In this paper, only one control torque and two control forces are applied to guarantee the desired attitude angle of the spacecraft and simultaneously suppress the vibration of the two flexible appendages. Moreover, the angle tracking error of the spacecraft can be restricted in a small residual set under a minimum convergence rate by adopting the prescribed performance technique (PPT). The stability of the boundary control is analyzed by employing LaSalle’s invariance principle. Finally, the feasibility of the proposed controller is verified through numerical results.