USAAAO 2022, I кръг — Задача 24
USAAAO 2022 - First Round · 5 февруари 2022 г.
Условие
Deneb is a very important star in the Northern hemisphere as it is one of the three stars in the Summer Triangle. Deneb ( Cyg) is also the brightest star in the Cygnus constellation. Knowing the following information calculate the distance between Deneb and Albireo ( Cyg).
| Deneb | Albireo | |
|---|---|---|
| Parallax () | 2.29 mas | 7.51 mas |
| Declination () | 45 ° 17’ | 27 ° 57’ |
| Right ascension () | 20h 41min | 19h 31min |
(a) 569 pc
(b) 102 pc
(c) 432 pc
(d) 317 pc
(e) 459 pc
Отговори
- D
Решение
First, we must calculate the angular distance between the 2 stars using the spherical law of cosines:
From what we find . Then using that the distance to a star is and the law of cosines, we can find the distance between the stars:
Finally we find that the distance between them is .
Answer: D
Оригинал в Архива: usaaao_first_exam_2022_problems.pdf · официални решения: usaaao_first_exam_2022_solutions-1.pdf