径向速率估值的双屏电子篱笆数据关联方法

针对双屏电子篱笆系统在初轨确定前需要完成同一目标观测数据的数据关联问题,文章提出了一种计算形式简单且不依赖于循环迭代定轨计算径向速率的估值方法,并设计了相应的数据关联准则。仿真分析表明,这种数据关联准则与依赖定轨计算径向速率的关联方法相比,判别正确率相近,但计算时间不到后者的10%,算法的效率更高。     

Angles-only relative orbit determination in low earth orbit

The paper provides an overview of the angles-only relative orbit determination activities conducted to support the Autonomous Vision Approach Navigation and Target Identification (AVANTI) experiment. This in-orbit endeavor was carried out by the German Space Operations Center (DLR/GSOC) in autumn 2016 to demonstrate the capability to perform spaceborne autonomous close-proximity operations using solely line-of-sight measurements. The images collected onboard have been reprocessed by an independent on-ground facility for precise relative orbit determination, which served as ultimate instance to monitor the formation safety and to characterize the onboard navigation and control performances. During two months, several rendezvous have been executed, generating a valuable collection of images taken at distances ranging from 50?km to only 50?m. Despite challenging experimental conditions characterized by a poor visibility and strong orbit perturbations, angles-only relative positioning products could be continuously derived throughout the whole experiment timeline, promising accuracy at the meter level during the close approaches. The results presented in the paper are complemented with former angles-only experience gained with the PRISMA satellites to better highlight the specificities induced by different orbits and satellite designs.     

LEO空间碎片甚短弧角度数据初轨确定方法对比

光学观测是空间目标观测中最常见的一种观测方式。采用扫描模式工作时光学观测得到的观测弧段弧长通常很短,有时甚至不到被观测空间目标运行周期的1%,这样的角度数据被称为甚短弧角度数据。基于近圆LEO空间碎片地基实测场景,研究比较仅利用角度数据进行初始轨道确定常用方法的性能差异,分析观测弧长对不同初轨确定算法的定轨成功率和误差的影响,为初轨确定工作提供参考。对比分析了常用的几种方法,包括Laplace方法、Gauss方法、Gooding方法和近几年提出的距离搜索算法等。大规模实测数据处理结果显示,距离搜索算法的成功率高于90%,初轨半长轴统计误差仅为25 km。初轨结果表明,距离搜索算法定轨成功率高于其他算法。研究成果可为解决空间碎片初轨确定问题提供参考。      

Orbit determination of BDS-3 satellite based on regional ground tracking station and inter-satellite link observations

The BeiDou global navigation satellite system (BDS-3) has established the Ka-band inter-satellite link (ISL) to realize a two-way ranging function between satellites, which provides a new observation technology for the orbit determination of BDS-3 satellites. Therefore, this study presents a BDS satellite orbit determination model based on ground tracking station (GTS) observations and ISL ranging observations firstly to analyze the impact of the ISL ranging observations on the orbit determination of BDS-3 satellites. Subsequently, considering the data fusion processing, the variance component estimation (VCE) algorithm is applied to the parameter estimation process of the satellite orbit determination. Finally, using the measured data from China’s regional GTS observations and BDS-3 ISL ranging observations, the effects of ISL ranging observations on the orbit determination accuracy of BDS-3 satellites are analyzed. Moreover, the impact of the VCE algorithm on the fusion data processing is evaluated from the aspects of orbit determination accuracy, Ka-band hardware delay parameter stability, and ISL ranging observation residuals. The results show that for China’s regional GTSs, the addition of BDS-3 ISL ranging observations can significantly improve the orbit determination accuracy of BDS-3 satellites. The observed orbit determination accuracy of satellite radial component is improved from 48 cm to 4.1 cm. In addition, when the initial weight ratio between GTS observations and ISL ranging observations is not appropriate, the various indicators which include orbit determination accuracy, ISL hardware delay, and ISL observation residuals were observed to have improved after the adjustment of the VCE algorithm. These results validate the effectiveness of the VCE algorithm for the fusion data processing of the GTS observations and ISL ranging observations.     

基于Gooding算法的天基光学目标跟踪定轨

开展了基于Gooding算法的400km天基平台光学目标监测的轨道确定研究,当测量误差为3”和6”时,分别对800,1500及36000km轨道高度目标进行初始轨道确定及轨道改进分析.仿真结果表明,利用400km轨道高度平台对800~1500km轨道高度目标进行初定轨,测量数据误差为3”~6”时,4~15min弧段的初定轨精度约在10km量级,1~2min弧段的初定轨精度约在100km量级;15min初定轨弧段轨道改进后误差在100m量级,弧段小于10min时轨道改进误差精度在km量级.利用400km轨道高度平台对36000km轨道高度目标进行初定轨,测量数据误差为3”时,15~20min弧段的初定轨精度约在数十km量级,8~10min弧段的初定轨精度在100km量级;轨道改进后误差在km量级.测量数据误差为6”时,20min弧段初定轨精度在10km量级,8~15min弧段初定轨精度在100km量级,轨道改进后误差精度在10km量级.      

Orbit determination by genetic algorithm and application to GEO observation

This paper demonstrates an initial orbit determination method that solves the problem by a genetic algorithm using two well-known solutions for the Lambert’s problem: universal variable method and Battin method. This paper also suggests an intuitive error evaluation method in terms of rotational angle and orbit shape by separating orbit elements into two groups. As reference orbit, mean orbit elements (original two-lines elements) and osculating orbit elements considering the J2 effect are adopted and compared. Our proposed orbit determination method has been tested with actual optical observations of a geosynchronous spacecraft. It should be noted that this demonstration of the orbit determination is limited to one test case. This observation was conducted during approximately 70 min on 2013/05/15 UT. Our method was compared with the orbit elements propagated by SGP4 using the TLE of the spacecraft. The result indicates that our proposed method had a slightly better performance on estimating orbit shape than Gauss’s methods and Escobal’s method by 120 km. In addition, the result of the rotational angle is closer to the osculating orbit elements than the mean orbit elements by 0.02°, which supports that the estimated orbit is valid.     

卫星初始轨道确定方法研究

卫星精密轨道确定过程实际上是通过求解轨道动力学微分方程组而对初始轨道不断改进的过程,因此,轨道确定的精度与速度不但依赖于求解微分方程组的具体算法,同样依赖于初始轨道的精度与准确性。针对多站测距/距离和数据,建立了一种轨道初值计算的几何方法,该方法集折射误差修正方法于一体,在进行观测数据折射误差修正的基础上,可以得到卫星在任意时刻的轨道初值。     

基于广义正则化最小二乘的天基测向初定轨

传统天基测向初定轨的不足,主要是由于观测数据存在系统误差和观测方程组的系数矩阵病态或不可逆。文章建立观测方程的半参数回归模型,提出基于补偿最小二乘估计和岭估计的广义正则化最小二乘估计,推导了估计公式,并证明了相关统计性质。引入选主列Givens-QR分解算法,提高观测方程求解效率和数值计算稳定性。仿真结果表明:该方法应用于天基测向初定轨可行,可以提高定轨精度和解算成功率。     

基于自适应滤波的编队卫星实时相对定轨

提出基于自适应滤波的编队卫星实时相对定轨算法,利用2005-12-09—10两颗GRACE（Gravity Recovery and Climate Experiment）卫星的GPS（Global Positioning System）实测数据进行实时相对定轨试验计算,采用JPL（Jet Propulsion Laboratory）轨道对试验结果外部检核,结果表明:①自适应滤波相对定轨通过自适应因子,可以较好地平衡编队卫星的观测信息和相对动力学信息,其相对定轨结果精度优于Kalman滤波相对定轨结果;②自适应滤波相对定轨结果随着星间基线缩短而精度提高;③两颗GRACE卫星采用单频伪距和广播星历进行自适应滤波相对定轨,可以得到精度优于6cm的星间基线。     

Analysis of laser ranges and angular measurements data fusion for space debris orbit determination

In the framework of space debris, the orbit determination process is a fundamental step, both, for researchers and for satellite operators. The accurate knowledge of the orbit of space debris objects is needed to allow space debris characterization studies and to avoid unnecessary collision avoidance maneuvers.The accuracy of the results of an orbit determination process depends on several factors as the number, the accuracy, the kind of processed measurements, their distribution along the orbit, and the object-observer relative geometry. When the observation coverage of the target orbit is not homogeneous, the accuracy of the orbit determination can be improved processing different kind of observables. Recent studies showed that the satellite laser ranging technique can be successfully applied to space debris.In this paper, we will investigate the benefits of using laser ranges and angular measurements for the orbit determination process. We will analyze the influence of the number of used observations, of the covered arc of orbit, of each observable, and of the observation geometry on the estimated parameters. Finally, using data acquired on short observation arcs, we analyze the achievable accuracies for the orbital regimes with the highest space debris density, and to the consequences of the data fusion on catalog maintenance operations. The results shown are obtained using only real data (both angular and laser measurements) provided by sensors of the Swiss Optical Ground Station and Geodynamics Observatory Zimmerwald owned by the Astronomical Institute of the University of Bern (AIUB) and for some studies also using ranges provided from other stations of the International Laser Ranging Service (ILRS).     

基于单站CCD漂移扫描光电设备的同步轨道目标测定轨

地基光电观测在同步轨道目标监测领域具有重要作用.为评估单站光电设备对同步轨道目标的实际测定轨能力,利用上海天文台佘山站1.56m望远镜,采用CCD漂移扫描光电技术,对3颗北斗同步卫星开展试验观测,基于卫星精密星历评估目标的测定轨外符精度.结果表明:同步轨道目标的天文定位在方位和俯仰方向上的外符精度均好于0.3";在单圈次观测情况下,尽管轨道预报精度较低,约为数千米量级,但是观测弧段内定轨精度可优于百米;在多圈次观测情况下,轨道改进效果显著,定轨精度优于50m,外推至4d的轨道预报精度为百米量级.此外,定量评估了每晚不同观测时间跨度下同步轨道目标的测定轨精度,为单站光电设备实际应用提供了参考.      

基于扩展卡尔曼滤波的XPNAV-1卫星自主定轨算法研究

X射线脉冲星导航1号（XPNAV-1）是全球首颗脉冲星导航专用试验卫星。利用该卫星观测的单颗脉冲星数据,采用几何约束方法,能够有效抑制轨道误差增长,但存在长时间定轨发散问题。针对XPNAV-1卫星拓展试验任务及脉冲星导航后续发展需求,利用多颗脉冲星的观测数据,研究基于扩展卡尔曼滤波（EKF）的卫星自主定轨算法。首先,建立该卫星的轨道力学模型和观测方程;然后,详细论述EKF滤波算法和分段式定常系统（PWCS）的可观测性分析方法;最后,通过综合分析XPNAV-1卫星的观测数据、脉冲星对该卫星轨道的覆盖性以及系统状态的可观测性,进行自主定轨算法试验。试验结果表明,基于EKF的自主定轨算法滤波过程收敛,验证了该算法的合理性和有效性。     

联合北斗导航与星间链路的大椭圆卫星定轨方法

传统的地面测控和GNSS均无法实现HEO卫星全弧段的跟踪观测.在分析北斗导航信号及其星间链路信号对典型HEO的观测几何及覆盖特性的基础上,利用北斗导航及其星间链路对HEO测控支持形成互补的特点,提出了一种卫星导航与星间链路相结合的自主导航方法.对HEO定轨进行分段划分并基于EKF设计了卫星导航与星间链路数据融合定轨的自主导航算法.分析结果表明,本文提出的方法能够从全弧段上改善HEO的观测几何,定轨精度比仅使用卫星导航提高了2个数量级,并且仅需较少的星间链路资源.      

基于GPS对地球同步轨道自动转移飞行器进行导航的可行性分析

研究利用GPS对地球同步轨道自动转移飞行器进行导航的方法,分析了飞行器在转移过程中可用的GPS卫星数目,在地心惯性坐标系下建立了惯导误差和GPS的伪距、伪距变率模型,采用渐消因子的自适应卡尔曼滤波对飞行器进行组合导航.仿真结果表明,可用GPS卫星的数目随着飞行器高度的增高而减少,因此无法利用单一历元观测信息直接对飞行器导航.但采用多历元观测信息和动力学模型相结合的滤波方法可对飞行器进行组合导航,当飞行器初始位置偏差为1 km,初始速度偏差为1 m/s,伪距及伪距变率观测均方差分别为10 m和0.05 m/s时,地球同步轨道自动转移飞行器的最终位置偏差小于50 m,速度偏差小于0.02 m/s.      

基于Bayes统计模型的卫星融合定轨方法研究

根据目前天基导航系统现状,结合中国对低、中轨卫星精密定轨的要求,给出了天地基信息融合定轨的原理;结合卫星待估融合参数的先验信息,提出了基于Bayes统计模型的卫星精密定轨方法;在卫星观测的线性化融合模型中引入观测噪声,利用概率估计融合模型,根据Bayes理论进行卫星状态改进量的最大后验估计,并分析了Bayes估计方法的定轨精度;依据期望融合的待估改进量方差最小规则建立了相应的参数求解算法;最后以导航融合测控系统中测距和测速数据的融合定轨为例进行了仿真实验,表明该融合方法能够得到很好的定轨效果。     

低轨目标短弧关联的稳健方法

未来大量低轨星座部署一旦完成，将会对传统的空间目标监视提出更高的要求.广角光学望远镜系统具有广域监视效果，可以同时观测大量目标.但是广角望远镜的观测数据大部分属于“短弧”观测数据，单次观测无法进行空间目标的初始轨道确定.目前有效的解决方案是对光学观测弧段进行准确关联，融合多组观测数据进行初定轨.本文以容许域方法为基础，通过优化拟合两段观测短弧的轨道，结合卡方检验，确定不同观测弧段之间的关联性.其次详细描述了对于低轨目标，用仅测角观测数据进行关联的时候，存在的病态性问题.最后，针对低轨目标短弧关联错误率高的问题，提出了用角度误差特性规律进行误关联识别的方法.误关联的准确识别有效地提高了对于低轨空间目标仅光学观测序列的关联成功率，为后续的空间目标编目提供了有效的数据支撑.     

密集测向资料轨道改进的条件方程和加权处理

利用密集测向资料可以处理出测向速率的特点,本文提出了同时建立测向和测向速率条件方程进行轨道改进的新方法,并辅之加权处理,这对提高测轨精度是有利的,可供实际工作参考。     

单星导航HEO卫星初轨确定算法

HEO(Highly Elliptical Orbit)轨道卫星利用星载GPS(Global Positioning System)进行自主定轨面临的主要难题之一就是解决在单颗导航卫星条件下的初轨确定问题.从理论上分析了利用单颗导航卫星的观测量确定HEO卫星轨道初值的所需满足的条件,指出了利用F.G级数法求解初值存在的问题,提出了一种基于轨道根数约束的迭代批处理算法,该算法无需复杂的数学运算,避免了F.G级数法用短弧资料定初轨时系数矩阵秩亏的影响.仿真结果表明,当先验轨道根数误差在允许范围内取值时,在考虑轨道射入误差的情况下,初值的位置偏差在10⁴ m量级,速度偏差在10⁰ m/s量级,能够根据单颗导航卫星的短弧观测值可靠地完成轨道初值的确定.     

基于经验加速度的低轨卫星轨道预报新方法

研究将定轨过程中的经验加速度应用于地球低轨卫星轨道预报的新方法. 利用GPS伪距观测数据和简化动力学最小二乘批处理方法对地球低轨卫星定 轨, 其中卫星位置、速度及大气阻力系数和辐射光压系数可以直接用于轨道预报. 作为简化动力学最重要特征的经验加速度呈现准周期、余弦曲线特点, 可通过 傅里叶级数拟合建模. 确定性动力学模型与补偿大气阻力模型误差的切向经验 加速度级数拟合模型组成增强型动力学模型用于提高轨道预报精度. 应用 GRACE-A星载GPS伪距观测数据和IGS超快星历定轨并进行轨道预报, 结果表明 轨道预报初值位置精度达到0.2m, 速度精度达到1×10-4m·s-1, 预报3天位置精度优于60m, 比只利用确定性动力学模型进行预报精度平 均提高2.3倍. 先定轨后预报的模式可用在星上自主精确导航系统中.      

基于伪距和观测量的地球同步卫星动力学定轨研究

利用伪距和观测量对同步卫星进行了动力学定轨的研究，给出了伪距和观测量的测量方程和修正方法，采用国内4个监测站的模拟数据进行了仿真计算．结果表明，采用7天弧长伪距和数据进行轨道改进及轨道外推的精度，与5天弧长数据的计算结果相当，但远优于3天数据的计算结果．在观测随机误差为3m时，7天弧长数据定轨精度约为5m，预报7天径向精度优于20m．