قارن الطرق

	الوزن والتوازن	تمثيل الاتجاه بالرباعيات
المجال	هندسة الطيران والفضاء	هندسة الطيران والفضاء
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1940s	1843
صاحب الطريقة	Aviation engineering	William Hamilton (quaternions), aerospace engineers
النوع	Analysis method	Mathematical framework
المصدر التأسيسي	Federal Aviation Administration (2017). Airplane Weight and Balance Control. Advisory Circular AC 23-8B-1C.	Shuster, M. D. (1993). A survey of attitude representations. Journal of the Astronautical Sciences, 41(4), 439–517.
الأسماء البديلة	W&B, center of gravity, CG analysis	quaternion representation, attitude kinematics, q-vector
ذات صلة	3	3
الملخص	Weight and balance analysis is the process of determining the total weight of an aircraft and the location of its center of gravity (CG) throughout its operational envelope. Essential for aircraft safety and performance, weight and balance ensures that the CG remains within allowable limits (forward and aft) to maintain stable flight and controllability. Regulatory certification requires comprehensive weight and balance documentation for every aircraft configuration.	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.