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.     

The influence of orbital maneuver on autonomous orbit determination of an extended satellite navigation constellation

The right ascension of the ascending node is unobservable if only the inter-satellite ranging is used for autonomous orbit determination (AOD) of an Earth navigation constellation. However, if an Earth-Moon libration point satellite is added to the Earth navigation constellation to construct an extended navigation constellation, all the orbital elements can be determined with only the inter-satellite ranging. Furthermore, the extended navigation constellation can provide navigation information for interplanetary probes. For such an extended navigation constellation, orbital control needs to be considered due to the instability of the libration-point satellite orbit. This study concerns the influence of satellite orbital maneuver on the AOD of the extended navigation constellation. An AOD method under orbital maneuver is proposed. A low thrust controller is designed to achieve libration point satellite autonomous orbit maintenance by using AOD results. A navigation constellation consisting of three GPS satellites and one libration point satellite are designed for simulation. The simulation results show that libration point satellites can achieve autonomous navigation and autonomous orbit maintenance by only using inter-satellite ranging information. The rotation drift error of the Earth navigation constellation is also suppressed.     

基于星间链路的导航卫星时间自主恢复策略

基于北斗导航卫星星间链路的测距与数传功能，针对自主导航时卫星时频子系统异常导致载荷系统断电重启的情况，提出了一种基于星载计算机自主计时及星间链路误差校正的策略.在载荷系统重启时间内，利用星载计算机守时，并通过十秒稳定度预报晶振频率漂移量的方法，维持星钟在重启时间内的稳定.载荷系统重启后，星载计算机授时给导航任务处理机，通过误差分析计算出总误差.该误差在星间链路建链误差允许范围内，然后通过星间链路对星钟误差进行校正恢复，重新实现星地时间同步.      

A scheduling strategy to inter-satellite links assignment in GNSS

By introducing inter-satellite link (ISL), the dependence of the global navigation satellite system (GNSS) on ground infrastructure can be reduced and its performance enhanced via inter-satellite ranging and communication. Owing to platform restrictions, there are usually fewer onboard Ka-band ISL antennas than the number of visible satellites, which poses a problem when optimizing the inter-satellite links assignment of the GNSS. In this study, to optimize inter-satellite ranging and communication, a multi-objective optimization model is built and a scheduling strategy is proposed for the inter-satellite links assignment scheduling problem. The position dilution of precision (PDOP) of links and the transmission time-delay of telemetry data are set as the ranging performance and communication metrics, respectively. We regard the links assignment in each slot as a general graph-matching problem, and apply the Blossom algorithm to obtain the maximum matching. We then generate and optimize the satellite sequences for whole slots using non-dominated sorting genetic algorithm II (NSGA-II). The simulation scenes include 10,080 epochs of GNSS constellation, and the simulation results show that the performance of the proposed strategy is better than that of other methods published recently, and can provide various solutions to meet the different preferences of system managers.     

一种适用于星间测距网的抗差方案设计

主要讨论了利用星间测距进行星座自主导航的导航算法设计,考虑系统的自主性,算法必须具有检测错误节点和抵抗粗差的能力。为此,文章通过分析星间测距网的特殊性,提出一种以抗差最小二乘为基础,适用于星间测距网的抗差方案。根据失效节点和观测粗差对残差影响的差异,提出分步处理的方法。通过算例比较几种常见抗差方案,验证了文中设计的抗差方案的有效性。     

北斗导航星座星间通信速率控制方法

北斗导航星座可以通过星间测距和传输链路实现自主定轨和性能增强。导航卫星间进行数据传输时,卫星相对位置时变,传输信道特性也随之不断发生变化。针对导航卫星间传输链路时变特性,提出了一种基于星历的星间通信速率控制方法。在满足传输服务质量的需求下,根据导航卫星自有的高精度星历资源定量计算星间最优通信速率,通过速率的动态调整提高星座的传输效能。仿真结果表明,采用所提方法,北斗导航星座星间传输效能可以提高1.92倍,验证了方法的有效性。      

基于最小PDOP准则的星间链路拓扑方案

星间链路是卫星导航系统实现自主运行的一项关键技术.研究了一种 Walker(24/3/2) 星座,通过对卫星间可见性以及星间链路相关约束条件的分析,计算并确定了同轨卫星的A,B类排列方案,探索了建立位置精度因子(PDOP,Position Dilution Of Precision)值最小,即测距精度最高的星间链路拓扑结构的方法,并在此基础上利用Dijkstra算法计算出卫星之间以及卫星与地面站之间的最优路径.通过对星间数据传输时间延迟和星座网络卫星节点数据流量的统计,表明这种链路生成方案切实可行,能够满足预先设定的技术指标要求.同时对最短路径、最小跳数和网络流量均衡3种不同的计算策略进行了仿真,验证了这3种策略所造成的结果差异.      

星间相位干涉仪测角系统设计及精度分析

针对微小卫星编队飞行、星间组网等多星协同任务中的相对测角问题,提出了一种高精度的星间无线电测角系统。该系统的优势是在伪码测距系统的基础上增加两条相同的接收通道,对载波相位值采用相位干涉法得到高精度的星间相对角度值,可以在不增加额外软硬件开销的情况下完成实时性较好的高精度星间相对状态自主测量。从该系统的设计出发,对相位干涉仪测角系统进行了详细的精度分析,推导了链路中各个噪声源的传递函数和理论噪声水平,并搭建实物平台对角度测量精度的理论值和实测值进行比较。结果表明系统对本振相位噪声有抑制作用,热噪声是角度测量的最大噪声源,系统实际测角精度在强信号下可达1.4×10^-3度。     

卫星编队自主相对导航与通信一体化系统探讨

探讨了一种新的卫星编队自主相对导航与通信系统一体化系统设计方案,提出了基于软件无线电的半双工CDMA测量通信一体化系统,实现自主相对导航和星间通信的一体化功能,通信数据和导航测量数据也统一在一个数据帧中传输,不需要独立的星间网络通信系统和增加额外的通信频段进行通信数据传输。系统采用S波段,详细阐述了系统架构和工作原理,分析了系统性能,并进行了仿真验证。     

联合CDGPS技术和星间相对测量进行编队星座状态确定

以空间圆3星编队星座为对象,建立了联合GPS载波相位差分(Carrier phase Differential GPS,CDGPS)和星间相对测量进行编队星座状态确定的数学模型;利用高精度的星间相对测量信息给星间公里级基线提供厘米级约束,极大地缩小了星间单差模糊度的搜索空间,进而在卫星无需机动的情况下采用Bayes最小二乘法快速解算出星间GPS载波相位单差整周模糊度;最后数学仿真证明了方法的有效性,结果表明卫星间相对位詈确定精度达10^-2m．卫星姿态确定精度达10^-3rad．