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Motion of Euler anglesFor the relation to angular velocities one gets: l sin cos l cos cosl x y zsinsin ll cos sinxyl sinl cosxysinsinThese equations become singular for θ = 0 and θ = π.„Klassische Mechanik“ by F. Kuypers (VHC, 1989)87Quaternions ( q0, q1, q2, q3)with 2 2 2 2q q q q01231convenientdefinition:D.J. Evans (1977)qqqq0123cossinsincos1 12 21 12 21 12 21 12 2 cos cos sin sin 88

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