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基于卫星观测数据的弹道导弹初始状态估计

Ballistic missile trajectory estimation based on satellite observations
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摘要 利用卫星探测数据对大气层外飞行的弹道导弹弹道进行估计。在极大似然估计中,由于卫星探测导弹运动的可观测性较差,使初始点估计变得十分病态,传统的Gauss Newton迭代算法不再适用,而采用较为复杂Levenberg Marquardt算法,分别对单颗卫星和两颗卫星的情况进行了Monte Carlo仿真,得到了各自的归一化残差测量误差(代价函数),结果表明该算法有效。 A study on the estimation of the exoatmospheric trajectory of the ballistic missile was presented. The maximum likelihood trajectory estimation problem is very ill conditioned because of poor observability. While the Gauss-Newton iterative algorithm can not be applied, the more sophisticated Levenberg-Marquardt method can be used to overcome the problem. Residual measurement errors in both single and two satellite scenarios were computed by using Monte-Carlo method. The result indicated that this algorithm is efficient.
出处 《固体火箭技术》 EI CAS CSCD 北大核心 2004年第4期247-249,254,共4页 Journal of Solid Rocket Technology
关键词 数据 LEVENBERG-MARQUARDT算法 初始状态 弹道导弹 初始点 归一化 点估计 NEWTON迭代 极大似然估计 Monte-Carlo Algorithms Ballistics Estimation Maximum likelihood estimation Measurement errors Monte Carlo methods Observability Satellites Trajectories
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参考文献4

  • 1Bate R. Fundamental of Astrodynamics[M]. New York, NY: Dover, 1971. 被引量:1
  • 2Bar-Shalom Y, Li X R. Multipletarget-multisensor: principles, techniques and software[M]. Storrs. CT: YBS Publishing, 1995. 被引量:1
  • 3Levenberg K. A method for the solution of certain nonlinear problems in least squares[J]. Appl. Math. 1994,(2). 被引量:1
  • 4Marquardt D. An algorithm for least-squares estimation of nonlinear parameters[J]. SIAM J. Appl. Math., 1963,(11). 被引量:1

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