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EURO­ASIAN AST RONOMICAL SOCIET Y

R o u n d

Theo

I - I As i a n - P As t r o n o m y O
, 13­22. XI. 2015

acific l ym p i a d
Dh aka , Ban g l ad esh

G r o u p





language

English

Theoretical round
1. Sizes and masses. In the table given at a separate sheet enumerate in growing order (from 1 to 13) the size and the mass of each object: Milky Way Galaxy, Andromeda Galaxy, Neutron star, Electron, Mercury, The first satellite "Sputnik I", Venus, Pluto, Proton, Red dwarf, Black cat, White (Polar) bear, the Sun. 2. Umbra and penumbra. As you know, on clear sunny days, objects usually give rise to umbras and penumbras. Nowadays, the angle of the ecliptic plane to the celestial equator is 0 = 23°26.2' and is reduced by about = 0.78' per century. Calculate in what century begins the period or in what century the period has ended when from the exactly vertical column located in Ashulia 2.1. umbra from the Sun 2.2. penumbra from the Sun will disappear (or disappeared) at some sunny days of the year. Ashulia's coordinates are 23°53.6' N, 90°19.8' E. Draw pictures explaining your solution. 3. Star setting. The Bengal Tiger likes to observe stars. According to his calculations, some star will rise today at 19h45m and will culminate at 21h49m. At what time yesterday did the star set? The refraction and horizon lowering can be disregarded. The solution has to include an artistic picture with an image of the Bengal Tigerastronomer observing the star. 4. Lunokhod. While the Bengal Tiger holds astronomical observations near Dhaka, the White Bear traveled to the Moon. Possessing Lunokhod (lunar rover), he is moving along the lunar equator, with the Sun being observed at the horizon during all the way. Calculate the speed of Lunokhod. The solution has to include an artistic picture with an image of the Bear-astronomer riding on Lunokhod and observing the Sun. 5. Distance between stars. In our region of the Galaxy the stellar matter density is about 1.51029 kg per cubic parsec. Assuming the stars are of solar type, estimate the average distance between the stars. Draw a picture explaining your solution. 6. 32. There are about 250 million stars in the elliptical galaxy M32 (a satellite of the Andromeda galaxy). The visual magnitude of this galaxy is 9m. Assuming luminosities of all the stars is equal, what is the visual magnitude of one star in this galaxy?
____________________________________________________________________________________________________________________ , 13 ­ 22 . X I . 2 0 1 5 Dkaka, Bangladesh