مقایسهٔ روش‌ها

	سامانهٔ هشدار برخورد در ترافیک هوایی	پیمایش تناسبی	ماتریس دوران
حوزه	هوافضا	هوافضا	هوافضا
خانواده	Process / pipeline	Process / pipeline	Process / pipeline
سال پیدایش	1989	1957	1843
پدیدآور	FAA, ICAO	Lin-Hsiung Chu	William Hamilton (quaternions), aerospace engineers
نوع	Avionics system	Guidance law	Mathematical framework
منبع بنیادین	Federal Aviation Administration (2017). Traffic Collision Avoidance System (TCAS II). Technical Standard Order TSO-C119c.	Knox, W. P. (1971). On optimal proportional navigation. IEEE Transactions on Aerospace and Electronic Systems, AES-7(3), 417–426.	Shuster, M. D. (1993). A survey of attitude representations. Journal of the Astronautical Sciences, 41(4), 439–517.
نام‌های دیگر	TCAS II, ACAS, traffic avoidance	PN, PN law	quaternion representation, attitude kinematics, q-vector
مرتبط	3	3	3
خلاصه	TCAS (Traffic Collision Avoidance System) is an airborne safety system that detects nearby aircraft using radar and mode C altitude reports, then provides traffic advisories (TAs) and recommended collision avoidance maneuvers (RAs) to flight crews. Mandated globally on commercial aircraft since 2000, TCAS is considered a last line of defense against mid-air collisions. TCAS II is the most common variant; TCAS I is a simplified advisory-only version for general aviation.	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.	Quaternion attitude representation is a mathematical framework for describing three-dimensional rotations using four-dimensional vectors (quaternions). Superior to Euler angles due to the absence of singularities (gimbal lock), quaternions are the standard representation in modern attitude estimation, spacecraft control, and 3D computer graphics. Quaternion kinematics elegantly expresses how attitude evolves under angular velocity measurements from gyroscopes.