IAO 2005, Теория, практически тур и наблюдения — Задача 4. α4. Sunspots.

X Международная астрономическая олимпиада · X International Astronomy Olympiad · 25.X. – 2.XI.2005 · Beijing, China · Китай, Пекин · 25 октомври 2005 г. · 8 т.

Внимание: Бележка към темата

This photographed English/Russian mixed-round booklet includes nine distinct theory tasks with native solution sketches, practical αβ7 and β8 without keys, and three bilingual observational tasks without keys. The α practical task 8, planetary data table, observational sky map and refraction drawing grid referenced in the source are absent. The Sun sketch provides only methods and no calculated distance or magnitude. Jury-result companions print 8 points per theory task, 10 per practical task and 20 for the observational round together, with 88 per cohort; those two cohort totals are not a total for this combined 14-task edition. The 12-minute allowance applies only to all observational jobs. Printed source errors are preserved: the Andromeda sketch uses exp(17.1/5)=2630; the α5 magnitude-difference sign is positive; β4 switches to Δα in one sentence; β5 refers to α2; the refraction formula prints 273°; the planetary-nebula question describes an explosion. Native diagram lines and spectrum peaks are faint in the original photograph.

Theoretical round. Problems to solve · General note

Groups α β

General note. Maybe not all problems have correct questions. Some questions (maybe the main question of the problem, maybe one of the subquestions) may have no real sense. In this case you have to write in your answer (in English or Russian): «situation is impossible - ситуация невозможна». Of course, this answer has to be explained numerically or logically.

При решении каждой задачи можно использовать данные прилагаемой “Таблицы данных о планетах”

Data from the “Table of planetary data” may be used for solving every problem.

Theoretical round. Sketches for solutions · Тезисы решений задач теоретического тура

Русский · English

Условие

At the day of the winter solstice we observe the Sun in Quito, the capital city of Ecuador in South America (78∘W78^{\circ}\mathrm W, 0∘S0^{\circ}\mathrm S). The resulting image is seen in figure 1. There are two sunspots on the Sun. At the same time it is sunrise in Alaska (60∘N60^{\circ}\mathrm N) and sunset in Windhoek, the capital city of Namibia in Africa (17∘E17^{\circ}\mathrm E, 23∘S23^{\circ}\mathrm S). Are these sunspots to be seen in Alaska and Windhoek. (Note: answer «Да-Yes» or «Нет-No» has to be written in English or Russian.) Draw the images of the observations of the Sun at that time as they are seen in Alaska and Windhoek.

Whole native response diagram: two sunspots on the Quito solar disk, north arrow N, and blank East and West horizon lines for the Alaska and Windhoek drawings.

Отговори

Решение

Observational round. Problems · Задачи наблюдательного тура · Groups α, β

English

Maximum total time for all jobs is 12 minutes.

Русский

Максимальное время выполнения задания – 12 минут.

Теми и трудност

Оценена трудност: 4/5.

Небесна сфера и сферична астрономия · Небесна сфера · Денонощно движение и видимост · Сезони и път на Слънцето

Предпоставки: Гимназиална подготовка, Разширена олимпиадна подготовка

Оригинал в Архива: iao2005.pdf · официални решения: iao2005.pdf