4. (13 points) About 10 seconds after lift-off, the Space Shuttle undergoes a rolling pullup. Because the orientation of

[answerhappygod]

4 13 Points About 10 Seconds After Lift Off The Space Shuttle Undergoes A Rolling Pullup Because The Orientation Of 1 (127.79 KiB) Viewed 78 times

4. (13 points) About 10 seconds after lift-off, the Space Shuttle undergoes a rolling pullup. Because the orientation of the Space Shuttle at launch results in a singularity when described by a standard 3-2-1 rotation sequence, a 3-1-3 rotation sequence is used instead with angles 4,0, and o. At the time of observation (about 10 seconds after lift-off), the Space Shuttle has an orientation of Y = 0 deg, 0 =90, deg, and p = -90 deg. In addition, the vehicle is experiencing a roll rate p and a pitch rate q. The mass moment of inertia matrix is given by the following: 11xx IB = 0 0 lyy 0 0 0 1,21 0 Find an expression for the components of the moment expressed in the body frame required at this point in time to continue the maneuver. (Hint: Use the rotational kinematic equations developed in Problem 1. Note that while angles 0 and (and their time rate of change) from a 3-1-3 rotation sequence do not have the same meaning as those from a 3-2-1 rotation sequence, the components of the angular velocity expressed in the body frame (i.e., p, q, and r) do.]