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Acta Armamentarii ›› 2018, Vol. 39 ›› Issue (12): 2363-2370.doi: 10.3969/j.issn.1000-1093.2018.12.010

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An Approximation Algorithm of Gravity Anomaly along Flight Trajectory

ZHOU Huan1, DING Zhi-jian2, ZHENG Wei3   

  1. (1.Institute of System Engineering, China Academy of Engineering Physics, Mianyang 621999,Sichuan, China;2.China Aerodynamics Research and Development Center, Mianyang 621000,Sichuan, China;3.College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073,Hunan, China)
  • Received:2018-01-09 Revised:2018-01-09 Online:2019-01-31

Abstract: An approximation algorithm of gravity anomaly along flight trajectory based on the net function theory is proposed. The factors that affect the approximation precision are analyzed, and the approximated error is deduced. The impact point errors due to approximated errors for trajectories with different ranges, azimuth angles and launching points are calculated. The results show that an average approximated error and a consequent ballistic impact point error are controlled wthin about 10-2 mgal and 8m, respectively, when memory space is about 1 000 data for a 12 000 km-range trajectory. The modest memory requirement and vastly decreased computational time allow the proposed method to apply to onboard computations of gravity anomaly along any trajectory. Key

Key words: ballisticmissile, gravityanomaly, fastapproximation, netfunction, impactpointerror

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