Degenerate Ellipse With Semiminor Axis of Zero
Another type of degeneration occurs when an ellipse, rotated and translated to its simplest form, has its semiminor axis b go to zero and thus has its eccentricity go to one. The result is a line segment (degenerate because the ellipse is not differentiable at the endpoints) with its foci at the endpoints. As an orbit, this is a radial elliptic trajectory.
Read more about this topic: Degenerate Conic
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