| Title |
A Study on Algorithms of Statistical Estimation for Rocket Break-up Dispersion Area and Ground Impact Location |
| Authors |
이덕진(Deok-Jin Lee) ; 김윤환(Yoon-Hwan Kim) ; 박장성(Jang-Seong Park) |
| DOI |
https://doi.org/10.5573/ieie.2020.57.12.90 |
| Keywords |
Break-up dispersion; Instant impact location; Covariance propagation; Statistical linear regression; Gauss-Hermite cubature integration; Korean launch vehicle |
| Abstract |
The precise estimation of break-up dispersion distribution and location of the ground impact area from the explosion of a launch vehicle has received lots of attention from researchers. This paper proposes an efficient algorithm for estimating the accurate instant impact location by predicting a statistical model of the break-up dispersion due to an explosion. The dynamic model and parameters of the Delta III rocket are used to generate a realistic 3-dimensional trajectory while the mission profile of the rocket is used to set scenarios for the explosion events, thereby improving the reliability of simulation studies carried out in this work. Initial break-up distribution is modeled by using the statistical covariance of an instant incremental velocity at break-up event. Two computational algorithms are proposed for estimating the break-up dispersion as a function of time. The first one is an unscented transformation based covariance propagation which is based on statistical linear regression method. The next one is called the Gauss-Hermite cubature integration method which is utilized to compute the time variation of the break-up dispersion model. Various simulation studies verified the performance of the proposed approach. |