3.1 航天器的姿态运动学 3.2 航天器的姿态动力学 3.3 航天器的一般运动方程 3.4 姿态干扰力矩

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16.61 Aerospace Dynamics Spring 2003 Generalized forces revisited Derived Lagrange s equation from d'Alembert's equation ∑m(8x+16y+22)=∑(Fx+F+F。=) Define virtual displacements sx Substitute in and noting the independence of the 8q,, for each

ECTURE +2 RIGId BoDY DYNAnIC 工Ap1CAT105FA。R工 GENERAL ROTATIONAL JYNMICS EULER'S EQuATIoN of MOTIoN TORQVE fREE SPECIAL CAsEs PRIMARY LESSONS 3D RoTATONAL MOTION MUCH MORE COMPLEX

P CDN STANT Wow TAKE THE MOMENT OF MOMENTUM (ANGULAR MOMENTUM) MUST EXPLICITLY DEFINE A POWT ABOUT WHICH WE TAKE THE MOMENT

Lecture #4 16.61 Aerospace Dynamics Extension to multiple intermediate frames(two) Copyright 2002 by Jonathan How

Longitudinal equations (1-15) can be rewritten as: mu Xuu+ Xww-mg cos 0+ m(w-qUo) =Zuu+ Zww+ Zq-mg sin 000+Z Iyyg =Muu+ Mww+ Mw++ There is no roll/yaw motion, so q 0

Aircraft Lateral Dynamics Using a procedure similar to the longitudinal case, we can develop the equa tions of motion for the lateral dynamics

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UPTO NoW HAVE CONJSI DERED PROBLEMS RELEVANT To THE RIGID BO0Y OYNAMICS THAT ARE IMPORTANT To AEROSPACE VEHICLES USED A BODy FRAME THAT ROTATES WITH THE VEHICLE ANOTHER TMPORTANT CLASS oF PRoBLEMS FoR Bo DIES SUCH AS GyRoscofes ROToR WITH HIGH SPIN RATE ESSENTIALY MASSLESS FRAME