精密进近阶段的多系统GNSS组合RAIM可用性算法及分析

给出了多系统全球卫星导航系统（GNSS）组合接收机自主完好性监测（ReceiverAutonomousIntegrityMonitoring,RAIM）可用性计算方法,在此基础上利用GPS、GLONASS实测数据与BDS、Galileo全星座仿真数据,分析了BDS、GPS、GLONASS和Galileo不同组合在精密进近阶段的RAIM可用性。通过试验分析发现,BDS的5颗地球同步轨道卫星和3颗倾斜地球同步轨道卫星对亚洲、非洲和欧洲大部分地区的RAIM可用性有很大的贡献。这些地区站星间几何观测结构得到改善,使得RAIM可用性相对于其他地区有很大幅度的提升。在亚太地区APV-I阶段单系统导航情况下,北斗导航系统RAIM可用性达到99.5%,高于其他三个导航系统。在精密进近阶段（APV-I、APV-II和CAT-I）,BDS与其他导航系统（GPS、GLONASS和Galileo）的组合导航可以满足全球大部分区域的RAIM可用性需求,大多可达到100%。     

基于中轨与静止轨道卫星定位系统星座优化设计

文中分析了中国区域性覆盖卫星导航系统“北斗”系统的特点，提出了采用“北斗”系统静止轨道卫星结合若干倾斜圆轨中轨MEO卫星，构成中国区域性覆盖星座的设计思想。文章给出了卫星导航定位系统星座优化设计方法，比较了多种设计思想和多种轨道形式的设计方案。通过仿真计算分析，在多种设计结果中，得到了优选的2颗GEO卫星结合若干MEO卫星星座设计方案设计结论。并且针对所选星座的覆盖性能，仿真给出了区域性覆盖优选星座的PDOP特性。     

全球卫星移动通信星座天基星间链路测控方案

针对全球卫星通信星座的测控问题,提出了利用静止轨道卫星作为天基测控网对低轨全球通信星座卫星进行测控的方案,在GEO轨道布置3颗地球静止轨道卫星,建立GEO轨道卫星与LEO星座卫星之间的星间链路来传输测控信息,再将这些信息转发至相应的地面测控站,分析了测控链路的传输指标,评估了星间测控链路的双向传输性能,最后通过仿真分析验证了采用3颗静止轨道卫星组成的天基测控网能够大幅拓展单纯依靠传统陆基测控网的测控可见弧段,其24h测控弧段覆盖率是后者的8倍,总测控时间比后者提升大约10倍.     

LEO-LEO掩星事件持续时间及卫星间相对角速度仿真分析

通过对LEO-LEO掩星事件仿真,分析卫星轨道参数对掩星事件持续时间和卫星间相对角速度的影响.结果表明:对掩星事件持续时间影响较大的LEO-LEO卫星轨道参数依次为轨道倾角、升交点赤经、轨道高度,近地点角距对掩星事件持续时间影响不大;LEO-LEO卫星轨道倾角互补时,掩星事件持续时间最短,为98s;两颗LEO卫星轨道倾角之和或者升交点赤经之差在120°-240°范围内,掩星持续时间约100~150s;两颗LEO卫星轨道越高,掩星持续时间越短;掩星发生时,LEO卫星间水平方向相对角速度最大值约为0.14（°）·-1,俯仰方向相对角速度最大值约为0.078（°）·s-1.      

采用简单太阳翼指向控制的IGSO星座设计

在对以地球静止轨道（GEO）卫星为基础的全球覆盖通信星座的设计中,提出一种特殊的倾斜地球同步轨道（IGSO）星座,该星座中的卫星可采用与GEO卫星相同的太阳翼对日指向策略,避免了IGSO卫星为实现太阳翼对日指向采用偏航控制而引起的卫星设计复杂性和研制成本的增加。采用网格法对该星座的覆盖特性进行分析计算,结果表明这种IGSO星座可应用于单重覆盖或极区覆盖的任务,而3颗IGSO与3颗GEO卫星共同使用时可实现95%以上的全球通信覆盖率。     

GRO和LRO掩星事件模拟研究

GRO（Global Navigation Satellite System Radio Occultation）和LRO（Low Earth Orbit Radio Occultation）联合组网探测地球大气是无线电掩星探测技术的主要发展方向.本文根据掩星事件的数学判据,仿真分析了LEO卫星主要轨道参数对GRO和LRO掩星事件数量和全球分布情况的影响.研究表明:卫星轨道越低GRO掩星事件越多;轨道倾角在30°和75°之间时,GRO掩星事件较多,全球覆盖率也较大;利用极轨卫星进行LRO掩星探测时,LRO掩星事件较均匀地分布在各纬度带.研究成果对GRO和LRO联合星座设计具有参考价值.      

基于TLE的Starlink星座第一阶段部署情况分析

近年来,随着卫星技术的快速发展和低轨（low earth orbit,LEO）卫星宽带互联网建设需求的不断增加,低轨大规模星座发展日新月异。针对Starlink星座初始化部署问题,首先论述了“星链”（Starlink）星座现状,分析在轨卫星高度变化。然后利用公开的两行轨道根数（two-line element,TLE）,从卫星发射入轨、轨道面分布两个方面,简要分析了Starlink星座的部署情况,给出升交点的变化规律;同时仿真分析了Starlink星座对地面的覆盖性能。最后,给出星座轨道面和相位分布、故障卫星处置以及可见卫星数量。所分析的结果以期为中国未来部署大规模LEO星座的建设提供借鉴。     

北斗卫星导航系统空间信号用户测距误差计算方法研究

按照空间信号用户测距误差（UserRangeError,URE）定义,参考GPS标准定位服务性能规范中URE的计算方法,结合北斗卫星导航系统（BDS）多星混合星座类型,在考虑仰角限制情况下,详细推导了适用于BDS的瞬时URE和均方根URE计算公式。利用广播星历和精密星历计算的卫星轨道误差和卫星钟钟差,带入所推导的公式,对BDSURE进行分析评估;并使用GNSS接收机原始观测量和伪距观测方程计算BDSURE,最后将两种计算结果进行对比分析。研究结果表明,两种方法BDSURE的计算结果基本一致,在95%置信度情况下均小于2.5m,满足北斗公开服务性能规范中对空间信号URE的基本要求。     

定位精度“精”益求“精”——访北斗卫星导航系统卫星系统总设计师谢军

第8颗北斗卫星的成功发射入轨后,与在轨的多颗地球静止轨道(GEO)卫星和地球同步轨道(IGSO)卫星组成基本系统,已经具备在星座覆盖范围内提供连续的、稳定的、全天候的基本服务能力。那么北斗卫星导航系统的基本原理、定位精度和未来发展如何呢?北斗卫星导航系统卫星系统总设计师谢军为我们进行了详细的解答。     

2022年国外导航卫星系统发展综述

<正>2022年，国外共进行3次导航卫星发射活动，均获成功，发射导航卫星3颗，均属俄罗斯“格洛纳斯”（GLONASS）系统导航卫星，其中，2颗GLONASS-K1卫星，1颗GLONASS-M卫星；其他国家未进行导航卫星发射。截至2022年底，国外在轨导航卫星98颗；在轨运行并提供导航服务的卫星90颗，其中，美国“全球定位系统”（GPS）31颗，俄罗斯“格洛纳斯”（GLONASS）系统23颗，欧洲“伽利略”（GALILEO）系统24颗，日本“准天顶”（QZSS）系统5颗，“印度导航星座” 1(NavIC)7颗卫星。     

Time synchronization of new-generation BDS satellites using inter-satellite link measurements

Autonomous satellite navigation is based on the ability of a Global Navigation Satellite System (GNSS), such as Beidou, to estimate orbits and clock parameters onboard satellites using Inter-Satellite Link (ISL) measurements instead of tracking data from a ground monitoring network. This paper focuses on the time synchronization of new-generation Beidou Navigation Satellite System (BDS) satellites equipped with an ISL payload. Two modes of Ka-band ISL measurements, Time Division Multiple Access (TDMA) mode and the continuous link mode, were used onboard these BDS satellites. Using a mathematical formulation for each measurement mode along with a derivation of the satellite clock offsets, geometric ranges from the dual one-way measurements were introduced. Then, pseudoranges and clock offsets were evaluated for the new-generation BDS satellites. The evaluation shows that the ranging accuracies of TDMA ISL and the continuous link are approximately 4?cm and 1?cm (root mean square, RMS), respectively. Both lead to ISL clock offset residuals of less than 0.3?ns (RMS). For further validation, time synchronization between these satellites to a ground control station keeping the systematic time in BDT was conducted using L-band Two-way Satellite Time Frequency Transfer (TWSTFT). System errors in the ISL measurements were calibrated by comparing the derived clock offsets with the TWSTFT. The standard deviations of the estimated ISL system errors are less than 0.3?ns, and the calibrated ISL clock parameters are consistent with that of the L-band TWSTFT. For the regional BDS network, the addition of ISL measurements for medium orbit (MEO) BDS satellites increased the clock tracking coverage by more than 40% for each orbital revolution. As a result, the clock predicting error for the satellite M1S was improved from 3.59 to 0.86?ns (RMS), and the predicting error of the satellite M2S was improved from 1.94 to 0.57?ns (RMS), which is a significant improvement by a factor of 3–4.     

基于GPS/北斗组合系统的高轨卫星定位技术研究

针对目前高轨GPS信号可用性差及定位精度低的特点, 对GPS/北斗组合系统的 高轨卫星定位技术进行研究, 对比分析了单GPS系统与GPS/北斗组合系统的卫 星可见性和几何精度因子. 结果表明, GPS/北斗组合系统比单GPS系统的卫星可 见性好, 且定位精度高. 同时通过提出在星载接收机上采用高精度原子钟, 可实现三星定位, 降低对接收机的技术要求.      

Multi-GNSS contributions to differential code biases determination and regional ionospheric modeling in China

Due to the limited number and uneven distribution globally of Beidou Satellite System (BDS) stations, the contributions of BDS to global ionosphere modeling is still not significant. In order to give a more realistic evaluation of the ability for BDS in ionosphere monitoring and multi-GNSS contributions to the performance of Differential Code Biases (DCBs) determination and ionosphere modeling, we select 22 stations from Crustal Movement Observation Network of China (CMONOC) to assess the result of regional ionospheric model and DCBs estimates over China where the visible satellites and monitoring stations for BDS are comparable to those of GPS/GLONASS. Note that all the 22 stations can track the dual- and triple-frequency GPS, GLONASS, and BDS observations. In this study, seven solutions, i.e., GPS-only (G), GLONASS-only (R), BDS-only (C), GPS + BDS (GC), GPS + GLONASS (GR), GLONASS + BDS (RC), GPS + GLONASS + BDS (GRC), are used to test the regional ionosphere modeling over the experimental area. Moreover, the performances of them using single-frequency precise point positioning (SF-PPP) method are presented. The experimental results indicate that BDS has the same ionospheric monitoring capability as GPS and GLONASS. Meanwhile, multi-GNSS observations can significantly improve the accuracy of the regional ionospheric models compared with that of GPS-only or GLONASS-only or BDS-only, especially over the edge of the tested region which the accuracy of the model is improved by reducing the RMS of the maximum differences from 5–15 to 2–3 TECu. For satellite DCBs estimates of different systems, the accuracy of them can be improved significantly after combining different system observations, which is improved by reducing the STD of GPS satellite DCB from 0.243 to 0.213, 0.172, and 0.165 ns after adding R, C, and RC observations respectively, with an increment of about 12.3%, 29.4%, and 32.2%. The STD of GLONASS satellite DCB improved from 0.353 to 0.304, 0.271, and 0.243 ns after adding G, C, and GC observations, respectively. The STD of BDS satellite DCB reduced from 0.265 to 0.237, 0.237 and 0.229 ns with the addition of G, R and GR systems respectively, and increased by 10.6%, 10.4%, and 13.6%. From the experimental positioning result, it can be seen that the regional ionospheric models with multi-GNSS observations are better than that with a single satellite system model.     

LEO enhanced Global Navigation Satellite System (LeGNSS) for real-time precise positioning services

Global Navigation Satellite System (GNSS) has been widely used in many geosciences areas with its Positioning, Navigation and Timing (PNT) service. However, GNSS still has its own bottleneck, such as the long initialization period of Precise Point Positioning (PPP) without dense reference network. Recently, the concept of PNTRC (Positioning, Navigation, Timing, Remote sensing and Communication) has been put forward, where Low Earth Orbit (LEO) satellite constellations are recruited to fulfill diverse missions. In navigation aspect, a number of selected LEO satellites can be equipped with a transmitter to transmit similar navigation signals to ground users, so that they can serve as GNSS satellites but with much faster geometric change to enhance GNSS capability, which is named as LEO constellation enhanced GNSS (LeGNSS). As a result, the initialization time of PPP is expected to be shortened to the level of a few minutes or even seconds depending on the number of the LEO satellites involved. In this article, we simulate all the relevant data from June 8th to 14th, 2014 and investigate the feasibility of LeGNSS with the concentration on the key issues in the whole data processing for providing real-time PPP service based on a system configuration with fourteen satellites of BeiDou Navigation Satellite System (BDS), twenty-four satellites of the Global Positioning System (GPS), and sixty-six satellites of the Iridium satellite constellations. At the server-end, Precise Orbit Determination (POD) and Precise Clock Estimation (PCE) with various operational modes are investigated using simulated observations. It is found out that GNSS POD with partial LEO satellites is the most practical mode of LeGNSS operation. At the user-end, the Geometry Dilution Of Precision (GDOP) and Signal-In-Space Ranging Error (SISRE) are calculated and assessed for different positioning schemes in order to demonstrate the performance of LeGNSS. Centimeter level SISRE can be achieved for LeGNSS.     

The impact on tsunami detection from space using GNSS-reflectometry when combining GPS with GLONASS and Galileo

The devastating Sumatra tsunami in 2004 demonstrated the need for a tsunami early warning system in the Indian Ocean. Such a system has been installed within the German-Indonesian Tsunami Early Warning System (GITEWS) project. Tsunamis are a global phenomenon and for global observations satellites are predestined. Within the GITEWS project a feasibility study on a future tsunami detection system from space has therefore been carried out. The Global Navigation Satellite System Reflectometry (GNSS-R) is an innovative way of using GNSS signals for remote sensing. It uses ocean reflected GNSS signals for sea surface altimetry. With a dedicated Low Earth Orbit (LEO) constellation of satellites equipped with GNSS-R receivers, densely spaced sea surface height measurements could be established to detect tsunamis. Some general considerations on the geometry between LEO and GNSS are made in this simulation study. It exemplary analyzes the detection performance of a GNSS-R constellation at 900 km altitude and 60° inclination angle when applied to the Sumatra tsunami as it occurred in 2004. GPS is assumed as signal source and the combination with GLONASS and Galileo signals is investigated. It can be demonstrated, that the combination of GPS and Galileo is advantageous for constellations with few satellites while the combination with GLONASS is preferable for constellations with many satellites. If all three GNSS are combined, the best detection performance can be expected for all scenarios considered. In this case an 18 satellite constellation will detect the Sumatra tsunami within 17 min with certainty, while it takes 53 min if only GPS is considered.     

Evaluation on real-time dynamic performance of BDS in PPP,RTK, and INS tightly aided modes

Since China’s BeiDou satellite navigation system (BDS) began to provide regional navigation service for Asia-Pacific region after 2012, more new generation BDS satellites have been launched to further expand BDS’s coverage to be global. In this contribution, precise positioning models based on BDS and the corresponding mathematical algorithms are presented in detail. Then, an evaluation on BDS’s real-time dynamic positioning and navigation performance is presented in Precise Point Positioning (PPP), Real-time Kinematic (RTK), Inertial Navigation System (INS) tightly aided PPP and RTK modes by processing a set of land-borne vehicle experiment data. Results indicate that BDS positioning Root Mean Square (RMS) in north, east, and vertical components are 2.0, 2.7, and 7.6?cm in RTK mode and 7.8, 14.7, and 24.8?cm in PPP mode, which are close to GPS positioning accuracy. Meanwhile, with the help of INS, about 38.8%, 67.5%, and 66.5% improvements can be obtained by using PPP/INS tight-integration mode. Such enhancements in RTK/INS tight-integration mode are 14.1%, 34.0%, and 41.9%. Moreover, the accuracy of velocimetry and attitude determination can be improved to be better than 1?cm/s and 0.1°, respectively. Besides, the continuity and reliability of BDS in both PPP and RTK modes can also be ameliorated significantly by INS during satellite signal missing periods.     

风云三号C星GNOS北斗掩星电离层探测初步结果

利用风云三号卫星C星GNOS掩星探测仪电离层数据,分析了2013年10月FY-3C GNOS探测的北斗掩星电离层廓线分布,将2013年10月1日至2015年10月10日期间FY-3C GNOS观测的F₂层峰值电子密度（N_mF₂）与地面电离层测高仪观测结果进行对比,验证了FY-3C GNOS北斗电离层掩星的探测精度.结果表明,FY3-C GNOS北斗电离层掩星与电离层测高仪探测的N_mF₂数据相关系数为0.96,平均偏差为10.21%,标准差为19.61%.在不同情况下其数据精度有如下特征:白天精度高于夜晚;夏季精度高于分季,分季精度高于冬季;中纬地区精度高于低纬地区,低纬地区精度高于高纬地区; BDS倾斜同步轨道（IGSO）卫星精度高于同步轨道（GEO）卫星和中轨道（MEO）卫星.FY-3C GNOS北斗电离层掩星与国际上其他掩星电离层数据精度的一致性对GNSS掩星探测资料的综合利用具有重大意义.      

Switching and performance variations of on-orbit BDS satellite clocks

The information of the satellite clock switching and performance variations on-orbit of Chinese BeiDou-2 Navigation System (BDS) is not available for the public. In order to detect the BDS satellite clock switching and performances variation, we analyzed the precise clock offset products with a total duration of 5?years every BDS satellite equipped four atomic clocks from four different manufactures from January 2013 to October 2017. Three important contributions are concluded as follows. (1) It is found that the average time of on-orbit operation for BDS satellite clocks is about 1–2?years. There have been 22 times of clock switching for BDS satellites, of which the C05 and C08 satellites have been switched to the fourth (last) atomic clock. (2) There are frequent phase adjustments for BDS on-orbit satellite clocks, and the frequency series is relatively stable. Furthermore, there are semi-annual sinusoid cycles in the frequency drift series of C06 and C09 satellites. (3) The performances of MEO satellite clocks perform better than the IGSO and GEO satellite clocks. The average ten-thousand frequency stability of BDS satellite clocks is about 1E-13, which is worse than that of GPS and Galileo but better than that of GLONASS.     

北斗系统UERE及定位精度评估

用户测距误差（URE）与用户设备误差（UEE）是影响定位精度的主要因素.民航是北斗系统的高端用户,监测其对民航机场的覆盖性和服务性能十分必要.本文根据华东、华南、华北、西北地区4个民航机场观测站的北斗实测数据,分析了各机场卫星的可见性.根据URE的解算方法、电离层修正模型、对流层修正模型以及定位精度的评估方法,给出了对应的性能评估结果.研究发现:可见星数均在6～14颗,满足定位要求; 95%置信度下,电离层延迟优于7.50m,对流层延迟优于13.28m,地球静止轨道卫星（GEO）、倾斜地球同步轨道卫星（IGSO）、中圆轨道卫星（MEO）卫星的URE值分别优于2.36m,1.72m,2.59m,满足北斗规范的要求;95%置信度下,定位精度水平方向优于3.63m,垂直方向优于6.98m.结果表明北斗系统在民航机场监测站的覆盖性及服务性能良好.