深空探测器精密定轨软件系统的研制在深空探测活动中是一个非常重要的环节,一直受到各大航天机构的重视。针对国内外深空探测器精密定轨软件平台的研究现状,重点介绍了具有代表性的美国JPL(Jet Propulsion Laboratory,喷气推进实验室)的...深空探测器精密定轨软件系统的研制在深空探测活动中是一个非常重要的环节,一直受到各大航天机构的重视。针对国内外深空探测器精密定轨软件平台的研究现状,重点介绍了具有代表性的美国JPL(Jet Propulsion Laboratory,喷气推进实验室)的DPTRAJ/ODP(Double Precision TRAJectory program/Orbit Determination Program,双精度轨道程序/定轨程序)和MONTE(Mission analysis,Operations,and Navigation Toolkit Environment,任务分析、操作和导航工具箱环境),GSFC(Goddard Space Flight Center,戈达德航天飞行中心)的GEODYN-II以及法国CNES(Centre National dEtudes Spatiales,国家空间研究中心)的GINS(Géodésie par Intégrations Numériques Simultanées,同步数值积分大地测量)软件系统,对这些软件的结构与功能进行了总结。之后对武汉大学自主研制的深空探测器精密定轨软件系统WUDOGS(Wuhan University Deep space Orbit determination and Gravity recovery System,武汉大学深空探测器精密定轨与重力场解算软件系统)的主要模块与功能进行了介绍,通过与GEODYN-II的交叉对比验证,表明:对于探测器的轨道预报,WUDOGS与GEODYN-II的1个月位置差异小于0.3mm,2d位置差值小于5×10^(-3) mm;双程测距、双程测速的理论计算值和GEODYN-II的差值RMS(Root Mean Square,均方根)分别在0.06mm,0.002mm/s的水平;WUDOGS目前已初步具备了月球和火星探测器精密定轨能力。最后对WUDOGS的下一步发展方向进行了展望。展开更多
Two-way Doppler measurement is a typical Earth-based radiometric technique for interplanetary spacecraft navigation and gravity science investigation.The most widely used model for the computation of two-way Doppler o...Two-way Doppler measurement is a typical Earth-based radiometric technique for interplanetary spacecraft navigation and gravity science investigation.The most widely used model for the computation of two-way Doppler observables is Moyer’s differenced-range Doppler(DRD) formula,which is based on a Schwarzschild approximation of the Solar-System space-time.However,the computation of range difference in DRD formula is sensitive to round-off errors due to approximate numbers defined by the norm IEEE754 in all PCs.This paper presented two updated models and their corresponding detailed instructions for the computation of the two-way Doppler observables so as to impair the effects of this type of numerical error.These two models were validated by two case studies related to the Rosetta mission—asteroid Lutetia flyby and comet 67 P/Churyumov-Gerasimenko orbiting case.In these two cases,the numerical noise from the updated models can be reduced by two orders-of-magnitude in the computed two-way Doppler observables.The results showed an accuracy from better than 6 × 10^(-3) mm s^(-1) at 1 s counting time interval to better than 3 × 10^(-5) mm s^(-1) at 60 s counting time interval.展开更多
对于行星际深空探测(距地球1亿km以上)任务,由于受到计算机字长的限制,传统双程测速模型的计算精度无法满足高精度定轨的需要,其最大误差源于多普勒频移周计数终点和始点上行几何距离之间和下行几何距离之间差分值的计算过程。对此建立...对于行星际深空探测(距地球1亿km以上)任务,由于受到计算机字长的限制,传统双程测速模型的计算精度无法满足高精度定轨的需要,其最大误差源于多普勒频移周计数终点和始点上行几何距离之间和下行几何距离之间差分值的计算过程。对此建立行星际双程测速模型,高精度地计算了两个差分值,推导模型的计算公式并给出详细步骤,同时给出计算过程中需要的切比雪夫差分多项式递推公式的形式。将该模型在深空探测器精密定轨与重力场解算软件系统(Wuhan University deep-space orbit determination and gravity recovery system,WUDOGS)中进行了实现,并以欧空局火星快车号(Mars express,MEX)探测任务为背景,利用该软件进行仿真测试,从计算精度和定轨结果两个方面验证该模型的优越性。结果表明,该模型将双程测速的计算值在计算机中表达的精度提高2个数量级,同时避免了定轨过程中引入额外的数值误差,可以为后续高精度的行星际深空探测任务的定轨提供参考。展开更多
文摘深空探测器精密定轨软件系统的研制在深空探测活动中是一个非常重要的环节,一直受到各大航天机构的重视。针对国内外深空探测器精密定轨软件平台的研究现状,重点介绍了具有代表性的美国JPL(Jet Propulsion Laboratory,喷气推进实验室)的DPTRAJ/ODP(Double Precision TRAJectory program/Orbit Determination Program,双精度轨道程序/定轨程序)和MONTE(Mission analysis,Operations,and Navigation Toolkit Environment,任务分析、操作和导航工具箱环境),GSFC(Goddard Space Flight Center,戈达德航天飞行中心)的GEODYN-II以及法国CNES(Centre National dEtudes Spatiales,国家空间研究中心)的GINS(Géodésie par Intégrations Numériques Simultanées,同步数值积分大地测量)软件系统,对这些软件的结构与功能进行了总结。之后对武汉大学自主研制的深空探测器精密定轨软件系统WUDOGS(Wuhan University Deep space Orbit determination and Gravity recovery System,武汉大学深空探测器精密定轨与重力场解算软件系统)的主要模块与功能进行了介绍,通过与GEODYN-II的交叉对比验证,表明:对于探测器的轨道预报,WUDOGS与GEODYN-II的1个月位置差异小于0.3mm,2d位置差值小于5×10^(-3) mm;双程测距、双程测速的理论计算值和GEODYN-II的差值RMS(Root Mean Square,均方根)分别在0.06mm,0.002mm/s的水平;WUDOGS目前已初步具备了月球和火星探测器精密定轨能力。最后对WUDOGS的下一步发展方向进行了展望。
基金supported by the National Natural Science Foundation of China (Grant Nos.42030110,41874010 and U1831132)Hubei Province Foundation innovation group project (2018CFA087)+1 种基金funded by a DAR grant in planetology from the French Space Agency (CNES)funded by Deutsches Zentrum für Luft-und Raumfahrt,Bonn-Oberkassel (Grant Nos.50QM1704 and 50QM1901)。
文摘Two-way Doppler measurement is a typical Earth-based radiometric technique for interplanetary spacecraft navigation and gravity science investigation.The most widely used model for the computation of two-way Doppler observables is Moyer’s differenced-range Doppler(DRD) formula,which is based on a Schwarzschild approximation of the Solar-System space-time.However,the computation of range difference in DRD formula is sensitive to round-off errors due to approximate numbers defined by the norm IEEE754 in all PCs.This paper presented two updated models and their corresponding detailed instructions for the computation of the two-way Doppler observables so as to impair the effects of this type of numerical error.These two models were validated by two case studies related to the Rosetta mission—asteroid Lutetia flyby and comet 67 P/Churyumov-Gerasimenko orbiting case.In these two cases,the numerical noise from the updated models can be reduced by two orders-of-magnitude in the computed two-way Doppler observables.The results showed an accuracy from better than 6 × 10^(-3) mm s^(-1) at 1 s counting time interval to better than 3 × 10^(-5) mm s^(-1) at 60 s counting time interval.
文摘对于行星际深空探测(距地球1亿km以上)任务,由于受到计算机字长的限制,传统双程测速模型的计算精度无法满足高精度定轨的需要,其最大误差源于多普勒频移周计数终点和始点上行几何距离之间和下行几何距离之间差分值的计算过程。对此建立行星际双程测速模型,高精度地计算了两个差分值,推导模型的计算公式并给出详细步骤,同时给出计算过程中需要的切比雪夫差分多项式递推公式的形式。将该模型在深空探测器精密定轨与重力场解算软件系统(Wuhan University deep-space orbit determination and gravity recovery system,WUDOGS)中进行了实现,并以欧空局火星快车号(Mars express,MEX)探测任务为背景,利用该软件进行仿真测试,从计算精度和定轨结果两个方面验证该模型的优越性。结果表明,该模型将双程测速的计算值在计算机中表达的精度提高2个数量级,同时避免了定轨过程中引入额外的数值误差,可以为后续高精度的行星际深空探测任务的定轨提供参考。
