北斗GEO卫星实时求速算法研究

以北斗系统空间信号接口控制文件中规定的卫星位置计算标准算法为基础,研究了采用北斗广播星历实时计算北斗GEO(Geostationary Earth Orbit,地球静止轨道)卫星速度的算法。首先,通过将开普勒参数和摄动改正项对时间求导,给出了计算北斗GEO卫星瞬时速度的直接求速算法并进行了验证测试。接着,探讨了微分步长对北斗GEO卫星位置微分求速精度的影响。进一步,采集真实北斗GEO卫星广播星历数据,选择代表卫星,采取不同微分步长,分别按照位置微分与直接求速计算卫星速度,并进行了比对测试。验证测试结果证明了北斗GEO卫星直接求速算法的理论正确性,该算法可作为计算GEO卫星瞬时速度的标准算法;比对测试结果则表明适用于北斗GEO卫星位置微分求速的合理微分步长应为1s。     

区域覆盖星座构型优化及协同控制策略研究

针对区域覆盖卫星星座的回归特性和构型维持需求,利用轨道半长轴和倾角与升交点赤经漂移和相位角漂移变化率之间的线性关系来优化星座构型参数,提高卫星星座构型的长期稳定性,同时通过协同控制轨道半长轴和倾角漂移量来实现区域覆盖星座构型维持。最后对区域覆盖天基雷达星座进行了构型优化设计和仿真,仿真结果表明了星座构型优化设计和维持策略的有效性。     

BDS接收机星间载波相位偏差

BDS(BeiDou satellite navigation System,北斗卫星导航系统)的MEO/IGSO (Medium Earth Orbit/Inclined Geosynchronous Satellite Orbit,中圆地球轨道/倾斜地球同步轨道)卫星在D1导航电文上调制了NH(Neumann-Hoffman,奈曼-霍夫曼)二次编码,而在GEO(Geostationary Earth Orbit,地球静止轨道)卫星上未使用.利用北斗MEO/IGSO和GEO卫星进行差分定位时,采用不同NH码符号映射规则的接收机之间会出现半周载波相位偏差的问题,严重影响RTK (Real-Time Kinematic,实时动态差分)应用.通过分析半周载波相位偏差的形成机理,从单差、双差、三差应用角度分别研究了半周载波相位偏差的影响.分析结果表明,接收机NH码符号映射规则与卫星不一致时,接收机直接用乘法器对NH码解调将存在反相,也即引入了半周载波相位偏差;在满足特定条件下,单差和双差应用时会存在半周载波相位偏差的问题;三差应用时不存在半周载波相位偏差的问题.最后,提出了需在北斗接口控制文件中明确卫星NH码调制或映射规则的修订建议.     

晨昏轨道摄动特性分析

针对晨昏轨道演化问题,根据不同摄动源对半长轴、偏心率矢量、倾角矢量进行公式推导与演化分析,并重点对降交点地方时漂移进行分析,证明晨昏点的简谐振荡特性向开口向上的抛物线漂移特性转化,最后结合实际的轨道动力学数据进行检验.结果表明,通过准确的入轨控制,可以实现晨昏轨道的降交点地方时十余年的长时间保持,既保障了卫星具有良好光照和能源供给,同时又能应用于长寿命卫星在轨测控与管理的能源预测、轨道数据注入核查等方面.     

利用经度值进行同步卫星漂移率控制的方法

针对地球静止轨道卫星东西位保平经度差漂移环控制,通过分析和推导相关公式,给出了东西位保平经度漂移率、定点位置漂移加速度、位保周期、位保精度、速度增量、半长轴变化率及东西边界点漂移率之间的相互关系.结合实际东西控制,变换推广经典公式,提出了东西控制时刻不在边界点时轨道控制参数的计算方法.在此基础上,给出了按给定边界经度值进行漂移率控制的方法,并根据某型号卫星一次东西位保控制参数进行了反算,验证了方法的正确性.     

地球非球形对卫星轨道的长期影响及补偿研究

首先建立了地球非球形引力摄动模型,通过对地球非球形引力摄动对卫星轨道的长期影响分析发现,地球非球形引力摄动对卫星轨道升交点赤经和沿迹角的漂移量与时间成近似线性关系;然后推导了通过主动偏置半长轴和倾角的方法来补偿摄动长期影响的计算公式,设计了基于仿真的地球非球形引力摄动补偿方法;最后对GlobalStar星座卫星进行仿真与试验.结果表明,设计的补偿方法是可行的,摄动补偿后在地球非球形引力摄动作用下卫星轨道的长期稳定性得到了很好的保持.     

顾及多路径误差改正的GNSS大坝形变监测研究

在GPS短基线相对定位中,可以根据多路径误差周期约为1天的重复性特点建立误差模型,采用坐标域或观测值域滤波的方法进行多路径误差改正.北斗系统由GEO、IGSO和MEO三种卫星类型组成,其中MEO卫星类型接近7天的轨道周期与GEO和IGSO约为1天的轨道周期差异较大,因此对北斗观测值进行多路径误差改正时只能采用观测值域滤波方法.本文以某水库大坝形变监测网为例,对GPS和BDS观测值分别建立多路径误差模型,根据各自卫星轨道周期进行多路径误差改正,结果表明经改正后大坝形变监测精度有较大提高.     

北斗空间信号误差统计特征及描述方法研究

通过对比北斗卫星导航系统(BeiDou Navigation Satellite System,BDS)广播星历与事后精密星历,提取了轨道和卫星时钟误差。基于北斗轨道误差及北斗卫星时钟误差统计特征分析,构建区别于全球定位系统(Global Positioning System,GPS)的BDS空间信号用户测距误差(Signal-In-Space User Range Error,SISRE)描述方法,对BDS广播星历中用户测距精度(User Range Accuracy,URA)进行了验证。6个月的北斗数据测试结果表明,北斗GEO、IGSO和MEO卫星的URA分别为3.0m、1.9m和1.6m。     

南北位保后东西耦合修正量计算

地球同步三轴稳定卫星在南北保持控制过程中,存在较大的东西方向耦舍量。实践中,在南北控制结束后,直接进行东西向轨道修正。给出了卫星寿命初期和中期东西修正量的计算模型,并在实际控制中取得了良好的效果。     

基于“北斗二代”的卫星星座设计

针对"北斗二代"卫星导航系统,首先,设计适合我国区域导航定位需求的GEO+MEO的星座;在此基础上增加一个倾斜地球同步轨道卫星星座扩充成一个GEO+MEO+IGSO的全球卫星导航系统;进行GDOP值和可见星数仿真,根据仿真结果对星座参数进行优化。     

平经度与偏心率联合偏置双星共位技术

针对在偏心率隔离情况下,由于共位双星半长轴并不完全相同,导致双星平经度差不断增加的情况,讨论了平经度与偏心率联合偏置情况下的双星共位控制策略.该策略通过计算得到双星允许的最大平经度差,控制双星漂移过程中的平经度差保持在允许的范围,确保在偏心率偏置条件下实现双星的安全隔离.理论和算例表明,双星共位的控制周期与卫星的测控精度有关,随着测控精度的提高,双星共位的控制周期可以等于每颗星的东西位置保持周期.     

基于动量轮转速标定的轨道控制方法研究

某地球同步三轴卫星因故障导致推力器工作效率不稳定,使得采用原有方案进行向西轨道控制时姿态变化大,控制准确度降低.针对上述问题,通过分析卫星用于姿态控制的偏置动量轮的控制规律,利用星体角动量守恒条件,建立了偏置动量轮转速变化与轨道半长轴变化之间的相关性数学模型,提出了一种改进的基于偏置动量轮转速标定的轨道控制方法,同时结合姿态的稳定变化制定了轨道控制实施方案,并将其应用于实际卫星轨道控制中,取得了良好的控制效果.改进的控制方法提高了轨道控制的准确率,使得半长轴误差幅度由最大60％提高到0.2％左右,增加了姿态的稳定性,使得俯仰姿态变化幅度由最大0.7°减小到0.2°左右,降低了控制风险,减轻了地面控制人员的负担.     

Collocation of two GEO satellites and one inclined GSO satellite

Three collocation strategies are planned and analyzed for the cluster of two geostationary orbit (GEO) satellites and one inclined geosynchronous orbit (GSO) satellite in the same longitude control band of 116°E±0.05° . The longitudinal control bands are allocated for the two GEO satellites and one inclined GSO satellite with seven-day East/West station-keeping maneuver cycle. The latitudinal control bands are allocated for the two GEO satellites with fourteen-day North/South station-keeping maneuver cycle. One inclined GSO satellite is allowed for natural inclination drift. The coordinated eccentricity vector and inclination vector separation method is applied for the collocation, and the maneuver schedule is planned to minimize the operational load by avoiding simultaneous maneuvers. A total of six months of station-keeping maneuver simulations are performed for the three different strategies.     

Integrating BDS and GPS for precise relative orbit determination of LEO formation flying

Low-Earth-Orbit(LEO) formation-flying satellites have been widely applied in many kinds of space geodesy. Precise Relative Orbit Determination(PROD) is an essential prerequisite for the LEO formation-flying satellites to complete their mission in space. The contribution of the BeiDou Navigation Satellite System(BDS) to the accuracy and reliability of PROD of LEO formation-flying satellites based on a Global Positioning System(GPS) is studied using a simulation method. Firstly, when BDS is added to GPS, the mean number of visible satellites increases from9.71 to 21.58. Secondly, the results show that the 3-Dimensional(3 D) accuracy of PROD, based on BDS-only, GPS-only and BDS + GPS, is 0.74 mm, 0.66 mm and 0.52 mm, respectively. When BDS co-works with GPS, the accuracy increases by 29.73%. Geostationary-Earth-Orbit(GEO) satellites and Inclined Geosynchronous-Orbit(IGSO) satellites are only distributed over the Asia-Pacific region; however, they could provide a global improvement to PROD. The difference in PROD results between the Asia-Pacific region and the non-Asia-Pacific region is not apparent. Furthermore, the value of the Ambiguity Dilution Of Precision(ADOP), based on BDS + GPS, decreases by 7.50% and 8.26%, respectively, compared with BDS-only and GPS-only. Finally, if the relative position between satellites is only a few kilometres, the effect of ephemeris errors on PROD could be ignored. However, for a several-hundred-kilometre separation of the LEO satellites, the SingleDifference(SD) ephemeris errors of GEO satellites would be on the order of centimetres. The experimental results show that when IGSO satellites and Medium-Earth-Orbit(MEO) satellites co-work with GEO satellites, the accuracy decreases by 17.02%.     

Basic performance of BeiDou-2 navigation satellite system used in LEO satellites precise orbit determination

The visibility for low earth orbit（LEO） satellites provided by the BeiDou-2 system is analyzed and compared with the global positioning system（GPS）. In addition, the spaceborne receivers＇ observations are simulated by the BeiDou satellites broadcast ephemeris and LEO satellites orbits. The precise orbit determination（POD） results show that the along-track component accuracy is much better over the service area than the non-service area, while the accuracy of the other two directions keeps at the same level over different areas. However, the 3-dimensional（3D） accuracy over the two areas shows almost no difference. Only taking into consideration the observation noise and navigation satellite ephemeris errors, the 3D accuracy of the POD is about30 cm. As for the precise relative orbit determination（PROD）, the 3D accuracy is much better over the eastern hemisphere than that of the western hemisphere. The baseline length accuracy is 3.4 mm over the service area, and it is still better than 1 cm over the non-service area. This paper demonstrates that the BeiDou regional constellation could provide global service to LEO satellites for the POD and the PROD. Finally, the benefit of geostationary earth orbit（GEO） satellites is illustrated for POD.     

静止轨道卫星半长轴标定新方法

提出了利用控前2次定轨结果计算的日平均星下点来确定每天的平均半长轴,从而得到只包含地球非球形引力摄动长期项的日平均半长轴,并用此计算目标轨道的方法。为东西控制目标半长轴的选取提供了一种新方法。该方法已多次应用于数颗同步卫星的东西控制中,取得了很好的效果。     

Line-of-sight-pointing for satellites in high altitude inclined elliptic orbits

With a growing demand for space communications and resulting overcrowding of geostationary orbit (GEO), the importance of high altitude inclined elliptic orbits is gaining impetus. However, the satellites in these orbits suffer from a severe problem of apparent periodic angular drift around their line-of-sight. This paper addresses this problem and proposes a cost effective method based on tether to continually tilt the satellites in order to compensate for longitudinal and lateral drifts relative to the ground station. The proposed system comprises two satellites connected by a flexible tether at a point on each satellite with offsets. A control strategy is developed for tether offset variations that ensures judiciously controlled changes in the satellite orientations. The numerical simulation of the governing nonlinear equations of motion establishes the feasibility of the concept. A high degree of line-of-sight pointing of dual satellites as well as the simplicity of the proposed control mechanism makes the concept particularly attractive for future space applications.