Sketch of the main angles used in our analysis. Left Panel: definition of α, θ₁ and α_g, used to describe the relative orientation of the satellite and the filament, the satellite and the central galaxy, and the central galaxy and the filament respectively. Middle panel and right panel: illustration of the solid angle sectors used to define the “aligned central minor axis” sample (within the 37° cone) and “perpendicular central minor axis” sample (outside the 66° cone) respectively. We note that similar angular sectors can be defined for α and θ₁ to describe the orientation of satellites.