USAAAO 2024, I кръг — Задача 16

USAAAO 2024 - First Round · 10 февруари 2024 г.

Problem writers

Wesley Andrade, Abhay Bestrapalli, Austin Chen, Justin Chen, Ved Gund, Hagan Hensley, Sandesh Kalantre, Evan Kim, David Lee, Joe McCarty, Arjun Patel, Sahil Pontula, Tara Rezaei, Raul Teixeira, Leo Yao, David Zhang

Условие

Consider a sun-planet-moon system. The rotation period of the planet is 2 days. The period of revolution of the moon around the planet is 42 days while that of the planet around the sun is 420 days. What is the length of the lunar cycle as seen from the planet? You can assume the the direction of planetary rotation, planetary revolution and lunar revolution is the same.

(a) 42.1 days

(b) 44.3 days

(c) 46.7 days

(d) 50.5 days

(e) 53.1 days

Отговори

Решение


Оригинал в Архива: usaaao_first_exam_2024-3.pdf · официални решения: usaaao_first_exam_2024_solutions-1.pdf