Is the Killer Crate Paradox Resolved?

[Sagittarius A-Star]

As I said earlier, there is nothing really wrong with the formulas. The wrong assumption is that the angle $\varphi = 135^\circ$ corresponds to the vertical line. This is true only in the rest frame of the ellipse.

Yes. For calculating $d$, I should have used either another angle (that of the related point on the circle, before "compressing" the circle to an ellipse) or the other formula for $r(\varphi)$ in posting #59.