USAAAO 2026, I кръг — Задача 9
USAAAO 2026 - First Round · 9 февруари 2026 г.
Problem writers
Problem writers: Srihari (Hari) Balaji, Vincent Bian, Ferdinand, Hagan Hensley, Elizabeth Lee, Joe McCarty, Lucas Pinheiro, Feodor Yevtushenko
Условие
The asteroid Pallas orbits the Sun with a semi-major axis of 2.77 AU. What is its orbital period around the Sun in years?
(a)
(b)
(c)
(d)
(e)
Отговори
- B
Решение
Solution: When solving for the solar system, Kepler’s Third law simplifies when semi-major axis () is expressed in AU and orbital period () is expressed in years, which becomes . Solving for , we have .
Answer: B
Оригинал в Архива: usaaao_first_exam_2026.pdf · официални решения: usaaao_first_exam_solutions_2026.pdf