J 3

3. The space station is orbiting the earth at an altitude of 360 km in a circular orbit inclined at 40 deg to the equator. At time t, the station passes directly from south to north across the equator at a longitude of W 90 deg. The earth-fixed coordinate system (E) is attached to the earth. A local level coordinate system (L - radial, in-track, cross-track) is attached to the station. At this time: (a) Draw the coordinate axes of the E-frame and the L-frame. (b) Compute the transformation matrix [LE] (c) Compute the Euler Angles ip ,0,0 (3-1-3) for this rotation. (d) Compute the angular velocity vector of L with respect to E, WWE, The station orbital rate is 0.00114146 rad/sec. (e) Compute the (3-1-3) Euler angle rates, , 0, d