Revision as of 16:43, 1 March 2023 edit 139.122.191.225 (talk) https://fzheng.me/2017/11/12/quaternion_conventions_en/ Apparently some formulas actually use Hamilton instead of JPL despite the fact that it claims to use JPL throughout... ← Previous edit		Revision as of 18:02, 1 March 2023 edit undo Spitzak (talk \| contribs) Extended confirmed users 10,500 edits →Definition: I believe this is the difference, can't find the information anywhere Next edit →
Line 3: ==Definition== There are two representations of quaternions. Hamilton (where w is the first component) and [[JPL]] ~~[[quaternion]]~~(where w is the last ~~convention~~component)<ref>W. G. Breckenridge, "Quaternions proposed standard conventions," NASA Jet Propulsion Laboratory, Technical Report, Oct. 1979.</ref>. This article uses Hamilton for some formulas. A unit [[quaternion]] can be described as: :<math>\mathbf{q} = \begin{bmatrix} q_0 & q_1 & q_2 & q_3 \end{bmatrix}^T = \begin{bmatrix} q_w & q_x & q_y & q_z \end{bmatrix}^T</math> :<math>\|\mathbf{q}\|^2 = q_0^2 + q_1^2 + q_2^2 + q_3^2 = q_w^2 + q_x^2 + q_y^2 + q_z^2 = 1</math>

Conversion between quaternions and Euler angles: Difference between revisions