USAAAO 2022, I кръг — Задача 16
USAAAO 2022 - First Round · 5 февруари 2022 г.
Условие
In 2025, the Parker Solar Probe will pass just km from the Sun, becoming the closest man-made object to the Sun in history. It will make five orbits, passing close to the Sun once every 89 days, before the planned end of the mission in 2026. How fast will the Parker Solar Probe be traveling at its closest approach to the Sun?
(a) 38 km/s
(b) 48 km/s
(c) 139 km/s
(d) 190 km/s
(e) 196 km/s
Отговори
- D
Решение
Knowing that the orbital period of the probe is 89 days, we can use Kepler’s Third Law to solve for the semi-major axis of the orbit:
To find the velocity of the probe at its closest passage to the Sun, we can apply the vis-viva equation:
Here is the semi-major axis, and is the distance from the Sun given in the problem.
Answer: D
Оригинал в Архива: usaaao_first_exam_2022_problems.pdf · официални решения: usaaao_first_exam_2022_solutions-1.pdf