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- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Tatum)/04%3A_Rigid_Body_Rotation/4.08%3A_Force-free_Motion_of_a_Rigid_Symmetric_TopFigures IV.15 and IV.16 show, for an oblate and a prolate rotator respectively, the instantaneouss rotation vector ω precessing around the body-fixed symmetry axis at a rate \( \O...Figures IV.15 and IV.16 show, for an oblate and a prolate rotator respectively, the instantaneouss rotation vector ω precessing around the body-fixed symmetry axis at a rate Ω in the body cone of semi vertical angle α; the symmetry axis precessing about the space-fixed angular momentum vector L at a rate ˙ϕ in a cone of semi vertical angle θ (which is less than α for an oblate rotator, and greater than \( \alpha…
- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Graduate_Classical_Mechanics_(Fowler)/27%3A_Euler_AnglesWhat you see as you watch a child’s top beginning to wobble as it slows down is the direction of the axis—this is given by the first two of Euler’s angles: θ,ϕ the usual spherical coordin...What you see as you watch a child’s top beginning to wobble as it slows down is the direction of the axis—this is given by the first two of Euler’s angles: θ,ϕ the usual spherical coordinates, the angle θ from the vertical direction and the azimuthal angle ϕ about that vertical axis. Euler’s third angle, ψ, specifies the orientation of the top about its own axis, completing the description of the precise positioning of the top.
- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Variational_Principles_in_Classical_Mechanics_(Cline)/13%3A_Rigid-body_Rotation/13.13%3A_Euler_AnglesRelate angles in the body-fixed frame to the space-fixed frame.
- https://phys.libretexts.org/Bookshelves/Mathematical_Physics_and_Pedagogy/Book%3A_Applied_Geometric_Algebra_(Tisza)/05%3A_Spinor_Calculus/5.01%3A_From_triads_and_Euler_angles_to_spinors._A_heuristic_introductionIt is an obvious idea to enrich the Pauli algebra formalism by introducing the complex vector space V(2, C) on which the matrices operate. The two-component complex vectors are traditionally called sp...It is an obvious idea to enrich the Pauli algebra formalism by introducing the complex vector space V(2, C) on which the matrices operate. The two-component complex vectors are traditionally called spinors. We wish to show that they give rise to a wide range of applications. In fact we shall introduce the spinor concept as a natural answer to a problem that arises in the context of rotational motion.