Example of how an adjustment to the bottom point (rb, F(rb)) when constructing the F(r) affects the resulting f(r). The flow model used in the example is MC1 whose bottom is at rb = 0.7R⊙. Left panel: assigned points (filled circles) for constructing the F(r) of model MC1 connected by cubic spline interpolation (red curve). The value of F(rb) for model MC1 is deliberately increased (MC1+, blue curve) or decreased (MC1−, green curve) by one. Right panel: resulting f(r) from the three F(r) in the left panel by computing Eq. (A.1). The values of f(rt) for MC1+ and MC1− are 25360.8 and −25360.8, respectively.
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