MAE142_Lecture10

# MAE142_Lecture10 - Velocity and Acceleration Body-Axis...

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Velocity and Acceleration Body-Axis Velocity Body-Axis Acceleration Accelerometers MAE 142 X-3 Stiletto (NASA Image)

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2 MAE 142 Body-Axis Velocity and Acceleration z B surge velocity (u) fwd accel (ax) heave velocity (w) vertical accel (az) sway velocity (v) lateral accel (ay) y B x B
3 MAE 142 Ground Relative Velocity The vehicle velocity over ground includes movement of the fluid. V N = V cos cos  W N V E = V cos sin  W E V D =− V sin  W D V N = velocity north V E = velocity east V D = velocity down V = airspeed = flight path angle = flight path heading W N = wind north W E = wind east W D = wind down

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4 MAE 142 Body-Axis Velocity Vehicle velocity over the ground can also be expressed using the body-axis components. [ V N V E V D ] = T B2L [ u v w ] [ W N W E W D ] V N = velocity north V E = velocity east V D = velocity down u = surge v = sway w = heave W N = wind north W E = wind east W D = wind down [ V N V E V D ] = [ cos cos sin sin cos − cos sin cos sin cos  sin sin cos sin sin sin sin  cos cos cos sin sin
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