Elliptical Orbit has Two Apsides

Theorem

Let $A$ be a body in orbit $O$ around another body $B$.

Let $O$ be elliptical in shape.

Then $O$ has $2$ apsides.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): apse (plural apsides)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): apsis (plural apsides)