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Table 3:

Projected semi-axes A and B in selected directions of the sky for the model of preferentially orientated cluster ellipsoids.
Case $\lambda $ $\beta $ semi-major axis A semi-minor axis B

$0^{\circ}{-}180^{\circ}$ $0^\circ$ $a \cdot b / \sqrt{a^2 \cdot \cos^2 (\lambda-q_{XY})+b^2 \cdot \sin^2 (\lambda-q_{XY})}$ c

$\lambda _{ac}$ $0^{\circ}{-}90^{\circ}$ a $c \cdot b / \sqrt{ b^2 \cdot \cos^2 \beta + c^2 \cdot \sin^2 \beta}$

$\lambda _{bc}$ $0^{\circ}{-}\beta_0$ b $c \cdot a / \sqrt{a^2 \cdot \cos^2 \beta + c^2 \cdot \sin^2 \beta}$

$\lambda _{bc}$ $\beta_0{-}90^{\circ}$ $c \cdot a / \sqrt{a^2 \cdot \cos^2 \beta + c^2 \cdot \sin^2 \beta}$ b

Source LaTeX | All tables | In the text

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