Multiple indicator correction for Whipple shield ballistic limit equation

In order to obtain the hypervelocity ballistic limit equation suiting for domestic Whipple shield, an indicator optimization method is studied. Based on domestic data, the modified Christiansen equation is revised by multi-indicators. The results show that, combining the predicted probability indicators (including totality predicted rate, safety predicted rate) with the prediction error indicator such as sum of squared prediction errors, the better predicted equation can be obtained by correcting the coefficients of the modified Christiansen equation step-by-step. By correcting the coefficients of ballistic region and hypervelocity region, the new equation's totality predicted rate achieves 89.7% and safety predicted rate reaches up to 100% for 107 domestic experimental data. Relative to the modified Christiansen equation, the indicators increase by 10.3% and 2.8%, respectively.