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Acta Armamentarii ›› 2022, Vol. 43 ›› Issue (7): 1589-1595.doi: 10.12382/bgxb.2021.0410

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Trajectory Planning for Exoatmospheric Midcourse Ballistic Missile Interception

ZHAO Meng1,2, DUAN Junhong1, WANG Mingyu1, YIN Shuangbin1   

  1. (1. Air and Missile Defense College, Air Force Engineering University, Xi'an 710051, Shaanxi, China;2. Unit 93792 of PLA, Langfang 065000, Hebei, China)
  • Online:2022-04-12

Abstract: Using the elliptical trajectory and two-body theory, a trajectory planning model of ballistic missile midcourse interception is established to solve the problem of fast trajectory planning for anti-missile interception. First, we obtain information about the initial flight position and velocity on the target trajectory at a given time. The relationship between the flight position and flight time is established based on elliptical trajectory theory, which predicts the point of impact. Second, the motion parameters of the interceptor missile are computed using Lambert equation under the flight time constraint, based on the launch point position of the interceptor and the predicted impact point position. Finally, the effectiveness of the interceptor planning model is verified by using MATLAB simulation. This model provides a method for the planning of midcourse interception trajectory. Under the corresponding constraints, the planned interception trajectory can meet the requirements of midcourse anti-missile interception theoretically.

Key words: ballisticmissile, lamberttheory, trajectoryplanning, midcourseinterception

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