IOAA 2011, theory — Задача 1
Автор: Olympiads XYZ · транскрипция на официалните материали
Проверена срещу оригинала на 14.9.2026 от независим модел
Long theoretical questions
[Source note]
v3
Instructions
You will receive in your envelope an English and native language version of the questions.
You have 5 hours to solve 15 short (tasks 1-15) and 3 long tasks.
You can use only the pen given on the desk.
The solutions of each task should be written on the answer sheets, starting each question on a new page. Only the answer sheets will be assessed.
You may use the blank sheets for additional working. These work sheets will not be assessed
At the top of each page you should put down your code and task number.
If solution exceeds one page, please number the pages for each task.
Draw a box around your final answer.
Numerical results should be given with appropriate number of significant digits with units.
You should use SI or units commonly used in astronomy. Points will be deducted if there is a lack of units or inappropriate number of significant digits.
At the end of test, all sheets of papers should be put into the envelope and left on the desk.
In your solution please write down each step and partial result.
[Source note]
v3
[Source note]
Long theoretical questions (max 30 points each)
Условие
A transit of duration 180 minutes was observed for a planet which orbits the star HD209458 with a period of 84 hours. The Doppler shift of absorption lines arising in the planet's atmosphere was also measured, corresponding to a difference in radial velocity of 30 km/s (with respect to observer) between the beginning and the end of the transit. Assuming a circular orbit exactly edge-on to the observer, find the approximate radius and mass of the star and the radius of the orbit of the planet.
Решение
Внимание: Непълно решение
В предоставените източници няма официално решение.
Теми и трудност
Трудност: неоценена.
Екзопланети и среди · Светлина и астрономически измервания · Небесна механика · Звезди · Откриване на екзопланети · Доплерово отместване и червено отместване · Орбитално движение · Свойства на звездите
Оригинал в Архива: 2011_Long_Questions.pdf