基于简化欧拉螺线航迹模型的固定翼飞机雷达发现概率计算方法

doi:10.7527/S1000-6893.2026.33535

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基于简化欧拉螺线航迹模型的固定翼飞机雷达发现概率计算方法

王浩宇,关晶心,陆孝强,宋磊

北京航空航天大学

收稿日期:2026-03-04 修回日期:2026-05-26 出版日期:2026-05-28 发布日期:2026-05-28
通讯作者: 宋磊

Radar Detection Probability Calculation for Fixed-Wing Aircraft Based on a Sim-plified Clothoid Trajectory Model

Received:2026-03-04 Revised:2026-05-26 Online:2026-05-28 Published:2026-05-28

摘要/Abstract

摘要： 飞机的隐身性能是实现战场突防的关键，而雷达发现概率是评估飞机隐身性能的重要指标。固定翼飞机飞行中航迹与姿态高度耦合并共同影响雷达视线的时域演变，从而影响雷达发现概率计算。传统“直线-圆弧”航迹模型难以准确描述固定翼飞机的航迹与姿态变化，因此本文提出一种基于简化欧拉螺线（Clothoid）的动态隐身评估方法。通过建立满足飞行力学约束的解析航迹模型，重点解决了传统“直线-圆弧”法因曲率不连续引起的姿态非物理阶跃。仿真验证表明，该方法能够更精确地复现从滚转建立到稳定盘旋的真实运动历程，有效解决了因曲率突变引起的时域RCS失真，确保了对隐身平台时域RCS峰值特征捕捉的完整性与准确性。该研究为固定翼飞机的动态隐身性能评估提供了一种兼顾物理保真度与计算效率的方法。

关键词: 雷达发现概率, 欧拉螺线, 航迹生成, 隐身突防, 机动飞行

Abstract: Aircraft stealth performance is crucial for successful battlefield penetration, and the probability of radar detection serves as a vital metric for evaluating this capability. During the flight of fixed-wing aircraft, trajectory and attitude are highly coupled, jointly influencing the time-domain evolution of the radar line of sight (LOS) and subsequently affecting the calculation of radar detection probability. The traditional "straight-line and circular-arc" trajectory model struggles to accurately describe the trajectory and attitude variations of fixed-wing aircraft. Consequently, this paper proposes a dynamic stealth evaluation method based on simplified Clothoids (Euler spirals). By establishing an analytical trajectory model that satisfies flight mechanics constraints, this study primarily resolves the non-physical attitude jumps caused by curvature dis-continuities inherent in the traditional "straight-line and circular-arc" method. Simulation validations demonstrate that the proposed method can more precisely reproduce the actual motion history from roll initiation to steady turning. It effectively eliminates the time-domain Radar Cross Section (RCS) distortion caused by abrupt curvature changes, ensuring completeness and accuracy in capturing the time-domain RCS peak characteristics of stealth platforms. This research provides an approach that successfully balances physical fidelity and computational efficiency for the dynamic stealth performance evaluation of fixed-wing aircraft.

Key words: radar detection probability, clothoid, trajectory generation, stealth penetration, maneuvering flight

中图分类号:

V218

王浩宇关晶心陆孝强宋磊. 基于简化欧拉螺线航迹模型的固定翼飞机雷达发现概率计算方法[J]. 航空学报, doi: 10.7527/S1000-6893.2026.33535.

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

基于简化欧拉螺线航迹模型的固定翼飞机雷达发现概率计算方法

Radar Detection Probability Calculation for Fixed-Wing Aircraft Based on a Sim-plified Clothoid Trajectory Model

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