Evaluation of a regional real-time precise positioning system based on GPS/BeiDou observations in Australia

The performance of real-time (RT) precise positioning can be improved by utilizing observations from multiple Global Navigation Satellite Systems (GNSS) instead of one particular system. Since the end of 2012, BeiDou, independently established by China, began to provide operational services for users in the Asia-Pacific regions. In this study, a regional RT precise positioning system is developed to evaluate the performance of GPS/BeiDou observations in Australia in providing high precision positioning services for users. Fixing three hourly updated satellite orbits, RT correction messages are generated and broadcasted by processing RT observation/navigation data streams from the national network of GNSS Continuously Operating Reference Stations in Australia (AUSCORS) at the server side. At the user side, RT PPP is realized by processing RT data streams and the RT correction messages received. RT clock offsets, for which the accuracy reached 0.07 and 0.28?ns for GPS and BeiDou, respectively, can be determined. Based on these corrections, an accuracy of 12.2, 30.0 and 45.6?cm in the North, East and Up directions was achieved for the BeiDou-only solution after 30 min while the GPS-only solution reached 5.1, 15.3 and 15.5?cm for the same components at the same time. A further improvement of 43.7, 36.9 and 45.0 percent in the three directions, respectively, was achieved for the combined GPS/BeiDou solution. After the initialization process, the North, East and Up positioning accuracies were 5.2, 8.1 and 17.8?cm, respectively, for the BeiDou-only solution, while 1.5, 3.0, and 4.7?cm for the GPS-only solution. However, we only noticed a 20.9% improvement in the East direction was obtained for the GPS/BeiDou solution, while no improvements in the other directions were detected. It is expected that such improvements may become bigger with the increasing accuracy of the BeiDou-only solution.     

Early analysis of precise orbit and clock offset determination for the satellites of the global BeiDou-3 system

Eight new-generation BeiDou satellites (BeiDou-3) have been launched into Medium Earth Orbit (MEO), allowing for global coverage since March 2018, and they are equipped with new hydrogen atomic clocks and updated rubidium clocks. Firstly, we analyzed the signals for the carrier-to-noise-density ratio (C/N0) and pseudorange multipath (MP) by using international GNSS (Global Navigation Satellite System) Monitoring and Assessment System (iGMAS) station data, and found that B1C has a lower C/N0, and B2a has the same level of C/N0 as the B1I and B3I signals. For pseudorange multipath, compared with the BeiDou-2 satellites, the obvious systematic variation of MP scatters related to the elevation angle is greatly improved for the BeiDou-3 and BeiDou-3e satellites signals. For the signals of the BeiDou-3 satellites, the order of the Root Mean Square (RMS) values of multipath and noise is B3I?<?B1I?<?B2a?<?B1C. Then, the comparison of the precise orbit determination and clock offset determination for the BeiDou-2, BeiDou-3, and BeiDou-3 experimental (BeiDou-3e) satellites was done by using 10 stations from iGMAS. The 3D precision of the 24?h orbit overlap is 24.55, 25.61, and 23.35?cm for the BeiDou-3, BeiDou-3e, and BeiDou-2 satellites, respectively. BeiDou-3 satellite has a comparable precision to that of the BeiDou-2 satellite. For the precision of clock offset estimation, the Standard Deviation (STD) of the BeiDou-3 MEO satellite is 0.350?ns, which is an improvement of 0.042?ns over that of the BeiDou-2 MEO satellite. The stabilities of the BeiDou-3 and BeiDou-3e onboard clocks are better than those of BeiDou-2 by factors of 2.84 and 1.61 at an averaging time of 1000 and 10,000?s, respectively.     

RTK model and positioning performance analysis using Galileo four-frequency observations

This paper proposes a real-time kinematic (RTK) model that uses one common reference satellite for the Galileo system with four frequency observations. In the proposed model, the double-differenced (DD) pseudorange and carrier phase biases among the different frequencies are estimated as unknown parameters to recover the integer features of the DD ambiguities among the different frequencies for ambiguity resolution and precise positioning. Analysis results show that the E5a, E5b, and E5 frequencies have virtually the same performance in terms of the positioning accuracy, observation residuals, and ratio values of ambiguity resolution. However, the E1 frequency performs worse than the E5a, E5b, and E5 frequencies. The RTK results for the combination of multiple frequencies are much better than those for a single-frequency observation, the coordinates’ standard deviation is improved about 20–30%, and the ambiguity fix time is improved about 10%.     

飞行器控制系统的高精度计算方法

对于连续时间线性二次最优控制问题，在动力学方程和价值泛函的基础上，给出其全状态下的微分方程，进而将精细时程积分法引入上述问题，其优点为，放弃了传统的差分算法，使计算过程既简便又稳定；避免了Ｒｉｃｃａｔｉ代数方程的求解；具有非常高的计算精度。通过对某飞行器控制系统的计算，充分说明了上述特色。     

月球卫星精密定轨

随着空间应用需求的日益增大,深空探测已成为现实,而月球显然是人类走向深空的首选目标。发射月球探测器通常分3个阶段,其运动状态分别对应3种不同类型的轨道:近地停泊轨道、地月转移轨道和绕月轨道。月球是1个慢自转天体且无大气,就轨道解而言这些因素导致环月卫星的运动与地球卫星有所差别。本文针对月球探测任务的特点,从月球与地球的差别入手,在仔细分析月球卫星的受力状况前提下,着重阐述月球探测器在环月段精密定轨的方法原理和具体实现过程。     

顾及频间偏差的GNSS多频非组合PPP变形监测

精密单点定位(PPP)技术有望解决长距离、大范围等监测场景难以找到稳定基准点的难题。现代化的全球卫星导航系统(GNSS)卫星纷纷开始播发多频信号,多频观测值融合理论上可提升PPP变形监测性能。为了充分利用多频冗余观测数据,详细研究了每个频点的差分码偏差(DCB)和全球定位系统(GPS)存在的相位频率间卫星钟偏差(PIFCB)的改正方法,扩展了多频数据处理的严密理论模型,能够灵活处理GPS三频、Galileo五频和BDS-3五频观测数据。多频PPP振动监测实验结果表明,GPS三频PPP、BDS-3五频PPP、Galileo五频PPP较各自双频PPP位移监测精度可分别提升12%、13%和14%,表明多频PPP技术有利于提升PPP位移监测精度与稳定性。     

火星探测直接转移轨道精确求解研究

针对火星探测直接转移轨道精确求解问题, 提出了一种快速微分修正算法. 基于二体模型建立控制参数和目标参数偏差关系的数学模型, 并由此求解系统的偏导数矩阵; 采用B平面参数作为中间变量, 对算法进行两层迭代设计, 有效地减少了求解过程中的积分运算次数. 以2018年火星探测机会为例对算法进行了验证, 仿真结果表明, 利用圆锥曲线拼接法得到的轨道初值, 求解一条标准轨道只需6~9次积分迭代. 通过STK对计算结果进行了对比和验证.      

考虑星历误差的天文测角/时间延迟量测组合导航方法

基于太阳震荡的时间延迟是一种新型天文导航量测量,可以提供探测器相对反射天体的距离信息,与星光角距量测量结合,可以提高导航性能。然而,星光角距量测模型与时间延迟量测模型均含有火卫一相对火星的位置矢量,火卫一的星历误差将影响导航精度。针对这一问题,提出了一种基于在线估计的天文测角/时间延迟量测组合导航方法,建立了包含火卫一位置及速度的状态模型,利用星光角距及时间延迟量测量同时对火卫一的位置和速度进行在线估计,仿真结果表明,提出的方法可以有效抑制火卫一星历误差对组合导航精度的影响,为探测器提供高精度的自主导航信息。