The reference frame transformation from the LVLH frame to the body frame is usually handled through...

 

Transcribed Image Text:

The reference frame transformation from the LVLH frame to the body frame is usually handled through the use of either Euler angles or quaternions. (a) Write a function in MATLAB to convert Euler angles to quaternions. The name of the function must be e2q. It must take a 3x1 vector of Euler angles as input and output a 4x1 vector of quaternions. Use the function to convert the Euler angles in Table 1 to quaternions. Case 1 2 3 4 5 6 7 8 [] 中[O] 0 0 -90 90 Case 1 2 0 [°] [°] 0 -90 0 90 90 0 0 0 30 30 35 85 -125 -50 -155 113 -108 24 Table 1: Euler angles to be converted to quaternions. (b) Write a function in MATLAB to convert quaternions to Euler angles. The name of the function must be q2e. It must take a 4x1 vector of quaternions as input and output a 3x1 vector of Euler angles. Use the function to convert the quaternions in Table 2 to Euler angles. 30 -110 (c) Use the e2q function and the data in Table 1 to verify the output of your q2e function. Discuss any differences between the values in Table 1 and the output of your q2e function. 93 90 91 92 0.1976 0.8673 0.2626 0.3738 0.8500 -0.2505 0.4606 0.0521 Table 2: Quaternions to be converted to Euler angles. The reference frame transformation from the LVLH frame to the body frame is usually handled through the use of either Euler angles or quaternions. (a) Write a function in MATLAB to convert Euler angles to quaternions. The name of the function must be e2q. It must take a 3x1 vector of Euler angles as input and output a 4x1 vector of quaternions. Use the function to convert the Euler angles in Table 1 to quaternions. Case 1 2 3 4 5 6 7 8 [] 中[O] 0 0 -90 90 Case 1 2 0 [°] [°] 0 -90 0 90 90 0 0 0 30 30 35 85 -125 -50 -155 113 -108 24 Table 1: Euler angles to be converted to quaternions. (b) Write a function in MATLAB to convert quaternions to Euler angles. The name of the function must be q2e. It must take a 4x1 vector of quaternions as input and output a 3x1 vector of Euler angles. Use the function to convert the quaternions in Table 2 to Euler angles. 30 -110 (c) Use the e2q function and the data in Table 1 to verify the output of your q2e function. Discuss any differences between the values in Table 1 and the output of your q2e function. 93 90 91 92 0.1976 0.8673 0.2626 0.3738 0.8500 -0.2505 0.4606 0.0521 Table 2: Quaternions to be converted to Euler angles.

Answer rating: 100% (QA)

ANSWER Here alpha beta and gamma are theta 12 and 3 respecti... View the full answer