قارن الطرق

	الملاحة النسبية	مسار دوبنز (Dubins Path)
المجال	هندسة الطيران والفضاء	هندسة الطيران والفضاء
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1957	1957
صاحب الطريقة	Lin-Hsiung Chu	Lester Dubins
النوع	Guidance law	Optimal curve
المصدر التأسيسي	Knox, W. P. (1971). On optimal proportional navigation. IEEE Transactions on Aerospace and Electronic Systems, AES-7(3), 417–426.	Dubins, L. E. (1957). On curves of minimal length with a constraint on average curvature and with prescribed initial and terminal positions and tangents. American Journal of Mathematics, 79(3), 497–516.
الأسماء البديلة	PN, PN law	Dubins curve, RSR path, LSL path
ذات صلة	3	3
الملخص	Proportional Navigation (PN) is a guidance law that generates command accelerations proportional to the rate of change of the line-of-sight angle between a pursuer and target. Introduced by Lin-Hsiung Chu in the 1950s, it became the foundation of modern missile guidance systems. PN solves the pursuit-evasion problem by ensuring that the pursuer intercepts a moving target with minimal computational overhead.	The Dubins path is the shortest curve connecting two points in the plane with prescribed initial and terminal tangent directions, subject to a constraint on curvature. Introduced by Lester Dubins in 1957, it solved a fundamental problem in differential geometry and became essential in motion planning for aircraft, helicopters, and autonomous vehicles. A Dubins path consists of circular arcs and straight line segments arranged in a sequence such as RSR (Right-Straight-Right) or LSL (Left-Straight-Left).