手法を比較

	重量と重心位置	クォータニオン姿勢	セオドーセン翼撓み解析
分野	航空宇宙工学	航空宇宙工学	航空宇宙工学
系統	Process / pipeline	Process / pipeline	Process / pipeline
提唱年	1940s	1843	1935
提唱者	Aviation engineering	William Hamilton (quaternions), aerospace engineers	Theodore Theodorsen
種類	Analysis method	Mathematical framework	Stability analysis
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.	Theodorsen, T. (1935). General theory of aerodynamic instability and the mechanism of flutter. NACA Report No. 496.
別名	W&B, center of gravity, CG analysis	quaternion representation, attitude kinematics, q-vector	flutter analysis, aeroelastic stability, Theodorsen's function
関連	3	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.	Theodorsen flutter analysis is a classical aeroelastic method for predicting the onset of flutter, a self-excited oscillation where aerodynamic forces interact with elastic structural motion to cause rapid growth of oscillations. Developed by Theodore Theodorsen in 1935, the method uses frequency-domain analysis with Theodorsen's function to compute aerodynamic forces on oscillating wings. Flutter speed prediction is essential for aircraft certification and structural design.