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中文摘要：
自由飞行为解决空中交通拥挤问题提供了有效方法，为保证自由飞行下的飞行安全，对飞机对间的最小安全间距的研究显得尤为重要。高空风对飞机的航向、地速都有影响，综合考虑了CNS性能及高空风因素来建立基于随机微分方程的碰撞风险模型，利用MATLAB计算算例中的碰撞风险。根据给定的安全目标水平，利用牛顿迭代法对最小安全间距进行寻优，求解自由飞行下的最小安全间距。算例结果表明了所建模型的可行性。
英文摘要：
Free flight provides an effective way to resolve air traffic congestion problems ,in order to ensure the safety of free flight ,studying on the minimum safe distance between aircraft is particularly important . Winds aloft have an impact on the aircraft′s heading and ground speed .Considering the factors of CNS performance and winds aloft ,a collision risk model based on stochastic differential equations is created . The collision risk of a numeric case is calculated by MATLAB .Then according to a given target level of safety ,the minimum safe distance between flights can be optimized with Newton iterative method .Results of the examples show the feasibility of the model .
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