MAE142_Lecture7

# MAE142_Lecture7 - Attitude and Euler Angles Body-Axis...

• Notes
• 8

This preview shows pages 1–6. Sign up to view the full content.

Attitude and Euler Angles Body-Axis Attitude General Rotations Euler Angles MAE 142 High Alpha Research Vehicle (HARV) (NASA Image) x B z B Y B

This preview has intentionally blurred sections. Sign up to view the full version.

2 MAE 142 Vehicle Attitude The angular orientation of the body-fixed frame relative to the local NED frame specifies the vehicle's attitude . x B x B x B y B y B y B z B z B z B
3 MAE 142 Position of a Point on the Vehicle What is the position of point m in ECEF coordinates? r m E =  r o E  r E   r b E r E = T L2E r L X Y Z N E r b r o r r m x B z B y B r b E = T L2E r b L r b L = T B2L r b B r m E =  r o E T L2E r L T B2L r b B Body-to-Local Transformation Matrix

This preview has intentionally blurred sections. Sign up to view the full version.

4 MAE 142 General Transformation Complex transformation matrices are built more easily by combining simple rotations. Positive rotation about X-axis or 1-axis: Y' X Y Z [ X ' Y ' Z ' ] = [ 1 0 0 0 cos sin 0 sin cos ] [ X Y Z ] Z Y Z' Y ' = Y cos  Z sin X ' = X Z ' =− Y sin  Z cos
5 MAE 142 More Simple Rotations

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.
• Fall '08
• Aliseda,A
• Rigid Body, Rotation matrix, Euler angles, sin cos cos, cos cos cos

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern