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MCQIntermediateGravitation, Orbits & Dynamics

USAAAO — 2025 First Round

Question 5

It may be useful to know the semi-latus rectum of an ellipse is the distance between one of its foci and the point on the ellipse immediately above or below it, as shown in the diagram below. Consider a highly eccentric planet with a semi-latus rectum that is nearly a hundred times smaller than its semi-major axis. What is its eccentricity?

Figure for USAAAO 2025 question 5

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Source

USAAAO 2025 First Round, Question 5. Question text, choices, and answer were transcribed from the official USAAAO exam and solutions PDFs.