Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.issp.ac.ru/iao/apao/2012/booklet/ap12_t_en_a.pdf Дата изменения: Sun Jan 6 17:54:00 2013 Дата индексирования: Sun Feb 3 20:33:34 2013 Кодировка: Поисковые слова: mercury surface

E U R O­ AS I AN AS TR ON OM I C AL SOCIETY

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Theo

V I I I - V I I I Asian-P acific A s t r o n o m y O l ym p i a d
, - 26.XI. ­ 4.XII. 2012 Cox's Bazar, Bangladesh

G r o u p



language

English

Theoretical round
1. Canopus. Canopus was a very popular star in problems set of the XVII IAO in Gwangju, Korea (October 16-24, 2012). But nobody had success seeing it during that Olympiad. Maybe here you will be lucky? Calculate time for the best conditions for observation of Canopus during the ne xt 24 hours. Bangladesh time should be used. 2. Image of Eclipse. Two weeks ag Total Solar Eclipse was ob served whole size displayed) was taken 3000 x 4000 pixels CCD, and the d pixels is 1.54 m ( = 1.54·10-6 m). objective used to get the image. o, in the morning of November 14, 2012, a in the North-East Australia. The photo (the by a Canon SX50 HS camera, which has istance between the centres of the adjustant Calculate the focal distance of the camera's





3. Sunspot. Astronauts who arrived at Mercury observe the Sun. They see a sunspot located just in the center of the visible solar disk. After what time will this spot be in the centre of the solar disk once again? The sidereal period of the equatorial regions of the Sun is 25.38 days. 4. Bear and satellite. The Polar Bear is sitting at the North Pole of the Earth, philosophizes and watches celestial objects. An artificial satellite moving in a circular polar orbit appeared in his vision. The first time the satellite disappeared over the horizon at the longitude of Gwangju, and the next time it disappeared over the horizon at the longitude of Cox's Bazar. At what height above the head of the Polar Bear the satellite flies? The solution has to include an artistic picture with an image of the Polar Bear-observer at the North Pole . 5. Comet Holmes. Comet Holmes (17P Holmes) has been th known since 1892, being an unremarkable object of 17 magnitude for many years. Based on computations, the diameter of comet's nucleus was estimated to d0 = 3.4 km. And a few years ago it presented a surprise for all astronomers. In two days on October 23 -25, 2007, its brightness suddenly increased many thousands times. As per one of the first versions, of the nucleus of the comet collided with some microcosmic celestial body, and as a result, there was a great explosion, and the nucleus fell apart into many small fragments . The graph shows the magnitude of the comet versus time for the days of outburst. Estimate approximately in how many fragments Comet Holmes was disintegrated according to this model. W hat was the average size of a fragment? 6. Planet Bangladeya. Engineers of Bangladesh created a new planet Bangla deya from a part of the Earth substance. Total area of surface of Bangla deya equals to the area of Bangladesh country (S = 147 600 km2). Estimate the acceleration of gravity at the planet Bangla deya.
____________________________________________________________________________________________________________________ , - 26. XI . ­ 4. X I I . 2 0 1 2 C ox's Baz ar , Bangladesh