钟差和动力学参数联合约束下的北斗卫星轨道快速确定

受地球非球形引力、第三体摄动和太阳光压等摄动因素的影响,导航卫星位置存在长周期变化趋势,需要定期对导航卫星进行轨道机动,以保持卫星轨位和导航服务区.导航卫星机动后的定轨,特别是GEO卫星,其频繁轨控后的轨道快速确定问题,是制约卫星可用度和导航系统服务性能的重要因素.在基于伪距相位数据的轨道测定中,轨道与钟差的统计相关是制约卫星轨道快速确定的关键因素,特别是在观测弧段短的情况下,待估参数之间的相关性更强,动力学参数估计结果严重失真会导致轨道预报精度衰减明显.当卫星钟差与测站钟差通过外部手段高精度测定后,可以减少待估参数的估计,同时利用长弧定轨的动力学与运动学参数先验信息,对短弧定轨模式进行参数约束,卫星定轨精度将有很大的提升空间.通过钟差与力学参数的联合约束,实现了北斗卫星短弧快速定轨,解决了卫星机动后的轨道快速确定问题,SLR评估的卫星机动后4 h定轨外符视向精度优于0.71 m,比常规方法提高了3倍,预报1 h轨道视向精度为1.89 m,用户等效距离误差(UERE)精度达到1.85 m.     

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.      

地球同步轨道带动态监视光学系统样机及试验观测结果

地球同步轨道上目标数量多，运动形式多样.为了保障航天活动的安全，有必要开展地球同步轨道目标的动态监测，及时掌握发生在中国专属地球同步轨道带的空间事件.2015年12月地球同步轨道带动态监视光学系统样机正式安装在中国丽江高美古观测站.2015年12月至2016年2月，利用该样机对台站上空地球同步轨道带的样本天区开展了试验观测.结果表明，样机能够对27颗地球同步轨道目标进行连续监测，其中两颗为北美航空航天司令部未编目的目标；目标天文定位的内符精度在方位上约为4"，在俯仰上约为1".利用多圈次观测结果对轨道进行改进，在无轨控发生时，24h和48h点位预报精度在方位和俯仰上分别优于9"和2".以3颗GEO目标为例，通过实测资料对轨道变化事件进行了初步分析和验证.      

双站跟踪模式下“嫦娥4号”中继星定轨仿真分析

位于地月平动点的探测器因为较差的观测几何,需要地基USB/UXB与天文VLBI长时间的联合跟踪数据获取稳定精确的轨道。提出了利用中国深空网双站共视跟踪平动点探测器,获取双程、三程测距及VLBI测量数据,解算探测器精确轨道的模式。以"鹊桥"卫星为分析对象,首先评估中国深空网对"鹊桥"的跟踪能力。然后分析不同观测组合模式下的定轨计算精度。结果表明:双站共视约束下,深空站每天对"鹊桥"跟踪弧长大于5 h;使用长于6 h的双站跟踪数据进行定轨,系统差的解算更有利于轨道精度提升;跟踪时长超过2天时,必须在轨道解算的同时估计光压系数,并有望实现优于百米的轨道精度。     

一种用于同步静止卫星监测的微型VLBI网

针对地球静止轨道（GEO）卫星全天时全天候高精度的监测需求，考虑传统甚长基线干涉（VLBI）测站高成本、高投入和GEO卫星专用观测时段有限等制约条件，研发了简易型VLBI观测系统，并组建了包括上海、都匀和乌鲁木齐三站的微型VLBI网（micro VLBI network，MVN），开展了并置站测试以及对GEO卫星亚太6C的连续监测，并评估了当前MVN的观测能力。结果表明MVN扣除系统差后的单站接收精度为2ns，各基线观测时延拟后残差约几纳秒，GEO目标实测位置精度为百米级（内外符精度分别约100m和400m）。不同于传统VLBI和其他GEO监测手段，MVN还具备全天时、全天候、低造价、易布设及易推广等特点，充分表明了其在GEO卫星监测领域的应用价值。     

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．     

基于机动力模型的GEO卫星恢复期间定轨

北斗卫星导航系统(BDS)中GEO卫星频繁的轨道机动对高精度、实时不间断的导 航服务需求提出了更高要求, 如何在短弧跟踪条件下提高GEO卫星轨道快速 恢复能力, 是提升导航系统服务精度的关键因素. 针对该问题, 本文提出了基 于机动力模型的动力学定轨方法, 尝试利用高精度的C波段转发式测距数据, 辅 以机动期间的遥测遥控信息建立机动力模型, 联合轨控前后的观测数据进行动 力学长弧定轨. 利用BDS中GEO卫星实测数据进行了定轨试验与分析, 结果表明, 恢复期间需要采用解算机动推力的定轨方法, 联合机动前、机动期间和机 动后4h数据定轨的轨道位置精度在20m量级, 径向精度优于2.5m. 该方 法克服了短弧跟踪条件下动力学法定轨和单点定位中的诸多问题, 提供了解决 GEO卫星机动后轨道快速恢复问题的技术方法.      

基于光学测角数据的风云四号同步轨道卫星精密定轨

针对风云四号同步卫星的精密定轨和精度评估需求,首先利用地面光学测角数据对FY-4A卫星进行精密定轨,定轨后方位角和高度角的残差rms分别为0.25＂和0.45＂。与基于测距数据的轨道相比,位置精度在有测角数据的弧段内小于50m。进一步联合测角数据和测距数据对FY-4A卫星进行联合定轨,定轨后轨道重叠精度优于15m。利用联合定轨结果评估了基于测距数据的实时轨道产品精度,可以明显发现轨道精度随着测距数据的积累而逐步提高。     

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.     

Application of CCD drift-scan photoelectric technique on monitoring GEO satellites

Geosynchronous Earth Orbit (GEO) satellites are widely used because of their unique characteristics of high-orbit and remaining permanently in the same area of the sky. Precise monitoring of GEO satellites can provide a key reference for the judgment of satellite operation status, the capture and identification of targets, and the analysis of collision warning. The observation using ground-based optical telescopes plays an important role in the field of monitoring GEO targets. Different from distant celestial bodies, there is a relative movement between the GEO target and the background reference stars, which makes the conventional observation method limited for long focal length telescopes. CCD drift-scan photoelectric technique is applied on monitoring GEO targets. In the case of parking the telescope, the good round images of the background reference stars and the GEO target at the same sky region can be obtained through the alternating observation of CCD drift-scan mode and CCD stare mode, so as to improve the precision of celestial positioning for the GEO target. Observation experiments of GEO targets were carried out with 1.56-meter telescope of Shanghai Astronomical Observatory. The results show that the application of CCD drift-scan photoelectric technique makes the precision of observing the GEO target reach the level of 0.2″, which gives full play to the advantage of the long focal length of the telescope. The effect of orbit improvement based on multi-pass of observations is obvious and the prediction precision of extrapolating to 72-h is in the order of several arc seconds in azimuth and elevation.     

Long-term photometric signature study of two GEO satellites

Geostationary earth orbit satellites have been extensively used for unique high-orbit stationary characteristics. Long-term precise investigation is an important issue in the observation of GEO satellites, since it can provide valuable information on the satellites’ operation state, discrimination and early warning analysis. Ground-based optical-electronic devices play a significant role in the observation. 4-month photometric signature variation of two satellites is presented based on the successive observations using the 1.56-meter telescope of Shanghai Astronomical Observatory (SHAO). It can be concluded that the long-term brightness change mainly results from the sun declination angle and regular orbit maneuver. Moreover, the solar panel offsets of the two satellites are analyzed and found to be approximately 4 degrees. Estimation of photometric accuracy reaches 0.15 mag for the application of CCD drift-scan optical-electronic technique.     

Orbit determination of BeiDou navigation satellite system maneuvered satellites based on instantaneous velocity pulses parameters

The BeiDou navigation satellite system (BDS) comprises geostationary earth orbit (GEO) satellites as well as inclined geosynchronous orbit (IGSO) and medium earth orbit (MEO) satellites. Owing to their special orbital characteristics, GEO satellites require frequent orbital maneuvers to ensure that they operate in a specific orbital window. The availability of the entire system is affected during the maneuver period because service cannot be provided before the ephemeris is restored. In this study, based on the conventional dynamic orbit determination method for navigation satellites, multiple sets of instantaneous velocity pulses parameters which belong to one of pseudo-stochastic parameters were used to simulate the orbital maneuver process in the orbital maneuver arc and establish the observed and predicted orbits of the maneuvered and non-maneuvered satellites of BeiDou regional navigation satellite system (BDS-2) and BeiDou global navigation satellite system (BDS-3). Finally, the single point positioning (SPP) technology was used to verify the accuracy of the observed and predicted orbits. The orbit determination accuracy of maneuvered satellites can be greatly improved by using the orbit determination method proposed in this paper. The overlapping orbit determination accuracy of maneuvered GEO satellites of BDS-2 and BDS-3 can improve 2–3 orders of magnitude. Among them, the radial orbit determination accuracy of each maneuvered satellite is basically better than 1 m. simultaneously, the combined orbit determination of the maneuvered and non-maneuvered satellites does not have a great impact on the orbit determination accuracy of the non-maneuvered satellites. Compared with the multi GNSS products (indicated by GBM) from the German Research Centre for Geosciences (GFZ), the impact of adding the maneuvered satellites on the orbit determination accuracy of BDS-2 satellites is less than 9 %. Furthermore, the orbital recovery time and the service availability period are significantly improved. When the node of the predicted orbit is traversed approximately 3 h after the maneuver, the accuracy of the predicted orbit of the maneuvered satellite can reach that of the observed orbit. The SPP results for the BDS reached a normal level when the node of the predicted orbit was 2 h after the maneuver.     

基于视线测量和轨道预报高轨非合作目标相对导航方法

对于非合作目标,由于中远距离星上相对测量手段有限,大多情况仅能获得视线角信息.仅视线测量相对导航方法在GEO轨道条件下滤波精度低、可观测性差.提出一种基于星间视线方位测量和轨道预报信息结合的非合作目标相对导航方法.建立基于星间相对运动模型的状态方程和基于星间视线测量和轨道预报信息的观测方程,分别选取了扩展卡尔曼滤波和无迹卡尔曼滤波两种方法,仿真分析了轨道预报信息精度和滤波方法对导航精度的影响.     

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.     

导航卫星的地面站定轨算法

导航星座轨道的长期保持是星座导航系统运营管理的重要组成部分,而现有的导航卫星地面定轨算法又存在精度不高或计算量大不适合工程应用的问题。为此,研究了单向、被动测量模式的导航卫星地面定轨算法。基于单向伪距观测,将导航卫星钟差参数作为状态量,推导了滤波算法的状态方程、测量方程,并最终建立了滤波器模型。以不同轨道面的4颗GPS导航卫星为例进行了2天的仿真试验,考虑卫星的可见性仿真中加入了测量中断,并设计在测量恢复后重启滤波算法。仿真结果表明,4颗卫星的轨道位置估计精度可以达到米级,钟差随机偏差的估计精度可以达到纳秒级,并且在滤波中断后重启滤波器,仍然可以达到此估计精度,表明此定轨算法具有收敛性和稳定性。     

“龙江2号”月球轨道微卫星定轨分析

微纳卫星深空探测任务中,通常所分配的测控资源有限,因此有必要对有限测控资源条件下微纳卫星的定轨精度进行分析。以微纳卫星深空探测为背景,采用"龙江2号"微卫星的轨道测量数据对其定轨精度进行了分析。"龙江2号"微卫星只有USB轨道测量数据,且环月段测控资源相对紧张,每天有两站跟踪,共约3～4 h的轨道测量数据。首先介绍了"龙江2号"微卫星飞行任务及其飞行过程中影响测定轨的因素;其次给出了定轨的动力学模型,对微卫星地月转移段的定轨精度进行了分析;最后通过分析摄动力、动量轮卸载以及数据弧段长度的影响,给出了微卫星环月阶段所使用的定轨策略,并通过重叠弧段比较的模式,给出了微卫星环月段的定轨精度。研究结论可以为后续微纳卫星深空探测任务提供有益参考。     

Orbit improvement for GTO objects using follow-up observations

The Astronomical Institute of the University of Bern was and is conducting several search campaigns for space debris in the geostationary ring (GEO) and the geostationary transfer orbit (GTO). First tests to build up a catalogue of satellites and space debris were performed recently. As the discovery observations of an object usually cover a time interval of a few minutes only, the first orbits determined are assumed to be circular. For GEO objects a circular orbit is a rather good approximation. This is certainly not the case for GTO objects. Nevertheless, a circular orbit seems to be an acceptable approximation for a short time interval around the observations. The first orbits can be used to acquire follow-up observations, which allow the determination of elliptical orbits. The maximum allowed time span between the detection and the follow-up for a successful recovery is found using simulated GTO orbits and observations. Further follow-up observations are simulated in order to study the orbit improvement process and the required force model. The accuracy of orbits needed to build up a catalogue is studied. The simulations are compared to the results achieved with observations acquired by the 1 m telescope on Tenerife.