Euler's Equations o body fixed principal axes o Right-handed coordinate frame Origin at Center of mass G(possibly accelerated Fixed point O o non-linear equations. . hard to solve Solution gives angular velocity components unknown directions(need to integrate w to determine orientation) AERO Dynamics 16.07 Dynamics D25-D26 7Euler’s Equations Dynamics 16.07 Dynamics D25-D26 7 • Body fixed principal axes • Right-handed coordinate frame • Origin at: – Center of mass G (possibly accelerated) – Fixed point O • Non-linear equations . . . hard to solve • Solution gives angular velocity components . . . in unknown directions (need to integrate ω to determine orientation)