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MCQAdvancedOrbital Mechanics & Gravitation

USAAAO — 2023 First Round

Question 28

Two planets A and B orbit a star with coplanar orbital paths that don't intersect. The major axes of the orbits are perfectly aligned, but the major axis of A is larger than that of B. A and B are observed to have eccentricities 0.5 and 0.75, respectively. What is the minimal possible ratio of semi-major axes of A to B?

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Source

USAAAO 2023 First Round. Question text, choices, and answer were transcribed from the official USAAAO exam and solutions PDFs.