![]() x″- y″- z″ or x 2- y 2- z 2 (after second rotation)įor the above-listed sequence of rotations, the line of nodes N can be simply defined as the orientation of X after the first elemental rotation.x′- y′- z′ or x 1- y 1- z 1 (after first rotation).Its successive orientations may be denoted as follows: The rotated frame XYZ may be imagined to be initially aligned with xyz, before undergoing the three elemental rotations represented by Euler angles. Starting with XYZ overlapping xyz, a composition of three intrinsic rotations can be used to reach any target orientation for XYZ.Įuler angles can be defined by intrinsic rotations. The XYZ system rotates, while xyz is fixed. Therefore, they change their orientation after each elemental rotation. Intrinsic rotations are elemental rotations that occur about the axes of a coordinate system XYZ attached to a moving body. ![]() ![]()
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