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单词 Euler angles
释义

Euler angles

Let R be an orthogonal 3×3 matrix with determinant 1; so R represents a general rotation of 3-dimensional space about an axis through the origin. Then there exist Euler angles α, β, γ in the ranges

such that R = X(α)Y(β)X(γ) where X(θ) denotes rotation about the x-axis by θ and Y(θ) denotes rotation about the y-axis by θ. Euler angles are useful in describing rotations of rigid bodies.

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更新时间:2025/4/30 8:34:38