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MCQIntermediateGravitation, Orbits & Dynamics2 parts
USAAAO — 2025 First Round
Questions 11–12
This question has 2 parts that build on each other. Answer both — it only counts as correct if every part is right.
Part AQuestion 11
An astronomer was studying the exoplanets orbiting a star with a mass of 10 M☉. The astronomer decided to draw a log T vs. log a plot for the exoplanet orbits, where T corresponds to the period in years and a corresponds to the semi-major axis in AU. What would be the slope of the best fit line to this plot? Note that log represents the base 10 logarithm.
Part BQuestion 12
What would be the y-intercept of the best fit line to this plot?
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Answer both parts to check. Both must be correct to count as correct.
Source
USAAAO 2025 First Round, Question 11. Question text, choices, and answer were transcribed from the official USAAAO exam and solutions PDFs.