IAO 2008, Практически тур, Група α — Задача 6. An extra-solar planet transit.

Practical round. Problems to solve · 13 октомври 2008 г.

Source availability

The original archive contains answer sheet2, reproduced in full. Separate answer sheets1 and3 were not found in the full16-file year inventory; the lightcurve and eclipse table printed on the question sheet are retained. No official practical solution or rubric was found. Unsigned handwritten annotations on the Bulgarian versions of these same questions are preserved as incomplete archive answers; they are not an official key. The transit annotations reach the photographed bottom edge and are partially cut off.

Условие

One of the most reliable methods to detect and study planets around stars other than the Sun, is the observation of their transits across the stellar disk. When a transit occurs, the flux FF from the star fades temporarily from the standard value F0F_0 because of the planet that is passing in front of it.

The first planet ever detected in this way is HD209458b, a jovian-like planet orbiting the solar-like star HD209458 (mass of 1.09 MSUN_{\rm SUN}) with a period of 3.5248 days. A transit lightcurve, recorded by the Hubble Space Telescope on May 2000, is shown in Figure.

Along the lightcurve on the answer sheet 1, mark the first contact with the letter A, the second contact with B, the central transit with C, the third contact with D and the fourth contact with E, and draw the planet at the correct positions in the corresponding pictures at the answer sheet 2. Moreover, complete the table with the times at which each contact occurs.

Assume that the transit occurs across the diameter of the star and that the orbit for the planet is circular.

HD209458b transit lightcurve with full original axes and time ticks.
Original bilingual answer sheet2 with five planet-position diagrams A–E and contact-time table.

Practical round. Answer sheet 2 / Практический тур. Лист ответов 2

Решение

Внимание: Непълно решение

Only unsigned handwritten contact-time/size estimates survive on the Bulgarian statement; the bottom edge cuts off part of the notes. No complete worked solution or official rubric is supplied.


Оригинал в Архива: alphapract.png · допълнителни данни: practdata.png · допълнителни данни: bgbetapract1.pdf · допълнителни данни: bgbetapract2.pdf