Fig. B.1
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Top panel: distribution of Ψ, with the top axis showing the corresponding cos(Ψ) values. Green, orange, and magenta curves corresponds to planet b, c, and d, respectively. Bottom panel: distribution of cos(Ψ) values before the trigonometric transformation, with the bottom axis showing cos(Ψ) and the top axis mapped to Ψ. The sharp contrast-between the two panels illustrate the non-linearity near the aligned case (0°).
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