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简要介绍了打靶法用于求解带未知参数的非线性二阶常微分方程组问题.由于微重力环境下矩形和旋转对称贮箱内的静液面形状能够用一个带参数的二阶常微分方程组表示,因此可用打靶法求解.利用打靶法求解了微重力下矩形、圆柱形、旋转椭球形以及Cassini贮箱内的静液面形状,通过大量数值计算可知,当未知参数初值选取恰当时,这种方法是快速有效的.将打靶求解法与其他文献所用的龙格库塔求解法进行比较,结果表明,绝大多数情况下采用打靶法效果更好.
The problem of shooting target method for solving nonlinear second-order ordinary differential equations with unknown parameters is briefly introduced.Because the static liquid surface shape in rectangular and rotational symmetric tanks under the condition of microgravity can be solved by a second-order ordinary differential equation Group representation, so it can be solved by the shooting method.The target shape of the rectangle, the cylinder, the spheroid and the Cassini tank under the microgravity are solved by the shooting method. It can be seen from a large number of numerical calculations that when the initial value of the unknown parameter is selected properly , This method is quick and effective.Comparing the target-finding method with the Runge-Kutta solution used in other documents, the results show that the shooting method works better in most cases.