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sin(θ ) sin(φ ) cos(θ ) · § sin(θ ) cos(φ ) ¨ ¸ = ¨ r cos(θ ) cos(φ ) r cos(θ ) sin(φ ) − r sin(θ ) ¸ ¨ − r sin(θ ) sin(φ ) r sin(θ ) cos(φ ) ¸ 0 © ¹
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§ v r · § sin(θ ) cos(φ ) sin(θ ) sin(φ ) cos(θ ) ·§ v x · ¨ ¸ ¨ ¸¨ ¸ ¨ vθ ¸ = ¨ r cos(θ ) cos(φ ) r cos(θ ) sin(φ ) − r sin(θ ) ¸¨ v y ¸ ¨ v ¸ ¨ − r sin(θ ) sin(φ ) r sin(θ ) cos(φ ) ¸¨ v ¸ 0 ¹© z ¹ © φ¹ © 5LFRUGDQGR OD VWUXWWXUD GL J
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