BSNS102 Study Guide - Final Guide: Jerky, Gimbal Lock, Angular Velocity
28 Jan 2021
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Chapter 10: orientation and angular displacement in 3d perform these conversions in section 10. 6. Fiddling with the angles directly is much more dif- ficult than it would seem. Euler angles parameterize orientation using only three numbers, and these numbers are angles. These two characteristics of euler angles provide certain advantages over other forms of repre- senting orientation. n euler angles are easy for us to use, considerably easier than matrices or quaternions. Per- haps this is because the numbers in an euler angle triple are angles, which is naturally how people think about orientation. If the conventions most appropriate for the situation are cho- sen, then the most important angles can be expressed directly. For example, the angle of decli- nation is expressed directly using the heading-pitch-bank system. The ease of use is a serious advantage. When an orientation needs to be displayed numerically or entered at the keyboard, Euler angles are really the only choice. n smallest representation possible.
