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Fig. 12.

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Trajectory of the filament eruption projected in 3D space calculated with Eq. (11). The axes (α, β, γ) refer to the local coordinates system determined by the unit vectors ( e ̂ Φ , e ̂ Θ , e ̂ n $ \boldsymbol{\hat{e}}_{\Phi},\boldsymbol{\hat{e}}_{\Theta},\boldsymbol{\hat{e}}_{n} $) (see Fig. 11). γ denotes the local vertical and is perpendicular to the plane formed by α and β (plane tangent to the local solar surface). Panels (a) and (b) show different perspectives of the filament trajectory (color-coded), where the black dashed-lines on the planes α-β depict the top-view trajectory of the filament eruption. The 3D projections reveal that the filament propagates markedly deviated from the local vertical direction. An animation of this figure is available online.

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