手法を比較

	重量と重心位置	クォータニオン姿勢
分野	航空宇宙工学	航空宇宙工学
系統	Process / pipeline	Process / pipeline
提唱年	1940s	1843
提唱者	Aviation engineering	William Hamilton (quaternions), aerospace engineers
種類	Analysis method	Mathematical framework
原典	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.
別名	W&B, center of gravity, CG analysis	quaternion representation, attitude kinematics, q-vector
関連	3	3
概要	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.