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本文在关于近代战争的兰彻斯特方程的基础上,将气象条件看作双 方军事对抗中的“第三方”,并把其作为一个可量化的因素加入到该方程中,建立了 考虑气象条件的兰彻斯特方程。在气象影响系数取常数的情况下,应用常微分方程 的定性理论和坐标变换的技巧,得到“气象倾斜”意义下的平方律。本文还在气象影 响系数取变系数的情况下对两种情况进行了数值计算并做了讨论。
Based on the Lanchester equation of modern warfare, this paper treats the meteorological conditions as the “third party” in the military confrontation between the two sides and adds it as a quantifiable factor into the equation, establishing the meteorological conditions Lanchester equation. In the case of constant coefficient of meteorological influence, the square law in the sense of “weather tilt” is obtained by the qualitative theory of ordinary differential equation and the skill of coordinate transformation. In this paper, two cases are also numerically calculated and discussed under the condition that the coefficient of weather impact is variable.