基于漫反射激光测距的火箭残骸翻滚姿态估算
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摘要
提出了基于漫反射激光测距数据估算火箭残骸质心位置和翻滚姿态的方法。分析了火箭残骸的翻滚运动,建立了漫反射激光测距仿真模型,详细介绍了估算火箭残骸翻滚轴指向和翻滚周期的理论和仿真方法。采用快速Lomb-Scargle算法对德国Wettzell站测得的Soyuz火箭末级残骸的实测数据进行了分析,通过比较仿真和实测数据的统计直方图,推算了火箭残骸的长度及质心位置,估算得到其观测周期为11.4s,赤经为203°,赤纬为23°。
A method is proposed to estimate the mass centre position and tumbling motion of rocket body using diffuse reflection laser ranging data.The tumbling motion of rocket body is analysed and the diffuse reflection laser ranging model is built.The theoretical and simulation methods are presented to estimate the tumbling axis orientation and tumbling period of rocket body.The laser ranging data of last stage Soyuz rocket body measured at Wettzell station are processed with the fast Lomb-Scargle algorithm.The length and mass centre position of rocket body are deduced by comparing the histograms of simulated and measured data.The tumbling period is estimated to be 11.4 s,the right ascension is 203°,and the declination is 23°.
A method is proposed to estimate the mass centre position and tumbling motion of rocket body using diffuse reflection laser ranging data.The tumbling motion of rocket body is analysed and the diffuse reflection laser ranging model is built.The theoretical and simulation methods are presented to estimate the tumbling axis orientation and tumbling period of rocket body.The laser ranging data of last stage Soyuz rocket body measured at Wettzell station are processed with the fast Lomb-Scargle algorithm.The length and mass centre position of rocket body are deduced by comparing the histograms of simulated and measured data.The tumbling period is estimated to be 11.4 s,the right ascension is 203°,and the declination is 23°.
引文
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[24]Scargle J D.Studies in astronomical time series analysis.II-Statistical aspects of spectral analysis of unevenly spaced data[J].The Astrophysical Journal,1982,263:835-853.
[25]Press W H,Rybicki G B.Fast algorithm for spectral analysis of unevenly sampled data[J].The Astrophysical Journal,1989,338:277-280.
[26]Press W H,Teukolsky S A,Vetterling W T,et al.Numerical recipes 3rd edition:The art of scientific computing[M].Cambridge:Cambridge University Press,2007:685-691.
[2]Bianco G,Chersich M,Devoti R,et al.Measurement of LAGEOS-2rotation by satellite laser ranging observations[J].Geophysical Research Letters,2001,28(10):2113-2116.
[3]Kucharski D,Kirchner G,Cristea E.ETALON spin period determination from kHz SLR data[J].Advances in Space Research,2008,42(8):1424-1428.
[4]Kucharski D,Kirchner G,Koidl F,et al.10years of LAGEOS-1and 15years of LAGEOS-2spin period determination from SLR data[J].Advances in Space Research,2009,43(12):1926-1930.
[5]Kucharski D,Kirchner G,Otsubo T,et al.22years of AJISAI spin period determination from standard SLR and kHz SLR data[J].Advances in Space Research,2009,44(5):621-626.
[6]Kucharski D,Otsubo T,Kirchner G,et al.Spin axis orientation of Ajisai determined from Graz 2kHz SLRdata[J].Advances in Space Research,2010,46(3):251-256.
[7]Kucharski D,Otsubo T,Kirchner G,et al.Spin rate and spin axis orientation of LARES spectrally determined from satellite laser ranging data[J].Advances in Space Research,2012,50(11):1473-1477.
[8]Kucharski D,Otsubo T,Kirchner G,et al.Spectral filter for signal identification in the kHz SLRmeasurements of the fast spinning satellite Ajisai[J].Advances in Space Research,2013,52(5):930-935.
[9]Kucharski D,Lim H C,Kirchner G,et al.Spin parameters of low earth orbiting satellitesLarets and Stella determined from satellite laser ranging data[J].Advances in Space Research,2014,53(1):90-96.
[10]Liu T,Chen H,Shen M,et al.Spinning satellite laser ranging data analysis and processing[J].Chinese Journal of Lasers,2017,44(5):0504001.刘通,陈浩,沈鸣,等.旋转卫星激光测距数据分析与处理[J].中国激光,2017,44(5):0504001.
[11]Kucharski D,Kirchner G,Schillak S,et al.Spin determination of LAGEOS-1 from kHz laser observations[J].Advances in Space Research,2007,39(10):1576-1581.
[12]Kirchner G,Kucharski D,Cristea E.Gravity probeB:new methods to determine spin parameters from kHz SLR data[J].IEEE Transactions on Geoscience and Remote Sensing,2009,47(1):370-375.
[13]Kucharski D,Kirchner G,Koidl F.Spin parameters of nanosatellite BLITS determined from Graz 2kHz SLR data[J].Advances in Space Research,2011,48(2):343-348.
[14]Kucharski D,Lim H C,Kirchner G,et al.Spin parameters of LAGEOS-1and LAGEOS-2spectrally determined fromsatellite laser ranging data[J].Advances in Space Research,2013,52(7):1332-1338.
[15]Kucharski D,Kirchner G,Lim H C,et al.New results on spin determination of nanosatellite BLITSfromhigh repetition rate SLR data[J].Advances in Space Research,2013,51(5):912-916.
[16]Kucharski D,Lim H C,Kirchner G,et al.Spin axis precession of LARES measured by satellite laser ranging[J].IEEE Geoscience and Remote Sensing Letters,2014,11(3):646-650.
[17]Kucharski D,Kirchner G,Koidl F,et al.Attitude and spin period of space debris envisat measured by satellite laser ranging[J].IEEE Transactions on Geoscience and Remote Sensing,2014,52(12):7651-7657.
[18]Kucharski D,Kirchner G,Otsubo T,et al.Confirmation of gravitationally induced attitude drift of spinning satellite Ajisai with Graz high repetition rate SLR data[J].Advances in Space Research,2016,57(4):983-990.
[19]Kucharski D,Kirchner G,Bennett J C,et al.Photon pressure force on space debris TOPEX/Poseidon measured by satellite laser ranging[J].Earth and Space Science,2017,4(10):661-668.
[20]Visco M,Lucchesi D M.Comprehensive model for the spin evolution of the LAGEOS and LARESsatellites[J].Physical Review D,2018,98(4):044034.
[21]Tang R F,Li Y Q,Li X,et al.Spin rate determination of AJISAI based on high frequency satellite laser ranging[J].Chinese Journal of Lasers,2015,42(6):0608010.汤儒峰,李语强,李熙,等.基于高重频卫星激光测距测算AJISAI卫星自转速率[J].中国激光,2015,42(6):0608010.
[22]Oren M,Nayar S K.Generalization of the Lambertian model and implications for machine vision[J].International Journal of Computer Vision,1995,14(3):227-251.
[23]Lomb N R.Least-squares frequency analysis of unequally spaced data[J].Astrophysics and Space Science,1976,39(2):447-462.
[24]Scargle J D.Studies in astronomical time series analysis.II-Statistical aspects of spectral analysis of unevenly spaced data[J].The Astrophysical Journal,1982,263:835-853.
[25]Press W H,Rybicki G B.Fast algorithm for spectral analysis of unevenly sampled data[J].The Astrophysical Journal,1989,338:277-280.
[26]Press W H,Teukolsky S A,Vetterling W T,et al.Numerical recipes 3rd edition:The art of scientific computing[M].Cambridge:Cambridge University Press,2007:685-691.