IAO 2005, Теория, практически тур и наблюдения — Задача 6. α6. Earth transit.
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 November 7, 2005, the Mars opposition will occur. During this event Mars will be situated at from the Earth, being quite close to the ecliptic line ( south of it) as observed from the Earth. For this event the Martian Space Agency is planning the near-Mars space mission with astronauts onboard purposed to observe the Earth transit the centre of the solar disk. To diminish expenses the space mission will follow the optimal way – to observe the transit from the minimum possible distance from Mars. In what constellation will Mars be observed from the station in the middle of the Earth transit?
Отговори
- near the South Ecliptic pole in the Doradus constellation, near to Large Magellanic Cloud.
Решение
While middle of the Earth transit being observed from the minimal possible distance from Mars, Mars will be situated near the South Ecliptic pole in the Doradus constellation, near to Large Magellanic Cloud.
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 механика · Небесна сфера и сферична астрономия · Орбитално движение · Небесна сфера · Небесни координати
Предпоставки: Гимназиална подготовка, Разширена олимпиадна подготовка
Оригинал в Архива: iao2005.pdf · официални решения: iao2005.pdf