3 ISS. Carefully consider the part of the photo by the French astrofotohrafom amateur Thierry Lego

Tsho was held in the spring of Ukrainian Olympiad in Astronomy. This competition successfully performed among tenth student of 9th (!) Grade Sergey Brodyuk. However, an indication of the Ministry of Education did not allow him to get his diploma. However, there are smart people who have reviewed your order and allowed astronomers to reward as well as physicists and other participants of the 4th stage of the nationwide competition. Recently Sergey zamzar received diploma winners of the Olympiad on Astronomy what it genuinely welcome, and good luck in the next contest of this kind. By the way, this is the fourth student in our class who won the All-Ukrainian Student Olympiad.
Task theoretical Tour IV stage II All-Ukrainian Student Olympiad on Astronomy (27.03.2012 c. Uzhgorod), Grade 10 1-Star guest. In 386, the Chinese chroniclers noted the appearance of the constellation Sagittarius "dawn-away." According to current estimates of apparent magnitude was +1 m, 5, and the distance to the stars is estimated at 16 000 light-years. Determine which ancient Chinese observed: new outbreak or supernova stars? 2 Weight astronaut. Spaceship Earth will start from the pole straight up with constant acceleration a = 0,5 g. At what height and weight zamzar over time astronaut zamzar in the ship will be the same as on Earth?
3 ISS. Carefully consider the part of the photo by the French astrofotohrafom amateur Thierry Lego (photo: International Space Station and space shuttle Atlantis on a background of the sun for 50 minutes. Their connections. Received photo May 16, 2010 at 13 h 28 m 55 s by World time in the suburbs of Madrid (Spain)). For snapshot determine at what distance from the Earth at the moment of photography is the International Space Station, if the length of the ISS solar panels is 73 m. Panels deploy toward the sun. (Angular radius of the Sun 16 '). zamzar 4 Collisions of asteroids. Two identical asteroids captured by the planet (planet mass M) moving in the same direction along the circular trajectory of radius R, the angle between the planes of the orbits of α. How many asteroids temperature rise at their collision (specific heat - c). Rate at which the smallest distance will converge to the planet after the asteroid collision. Small 5 "parade of planets". Recently in the media there are many reports of "parade of planets" in 2012 Determine how often is a combination of at least three planets (small "parade of planets"), ie the time period after which three planets sought in line with the sun. Make calculations for the system "Mercury-Venus-Earth." (Consider that the orbits of the planets circular zamzar and lie in the same plane).
6 Meeting Venus and Jupiter. The figure shows the area of the sky over Uzhgorod March 14, 2012, when it was possible to observe a combination of Venus and Jupiter (shown as a horizontal coordinate system and the orbit of Venus). Find the angular distance between Venus and Jupiter Mercury in the sky at this time. Apparent and absolute magnitudes of the planets at the time specified in the table. (10 points) Planet apparent magnitude, m absolute magnitude, M Mercury Venus 2.24 34.60 -4.18. Jupiter 27.87 -1.96 25.85 ANSWERS (pdf-file, 362 KB): The task of practical tour IV stage II All-Ukrainian Student Olympiad on Astronomy zamzar (28.03.2012 c. Uzhgorod), zamzar Grade 10 Task 1: Hunting. In the novel, LM Tolstoy's "Anna Karenina" describes hunting heroes work Oblonskys and Levin. "It was dark. Beauty Venus low in the west has shone between birches her tender brilliance, and high in the east perelyvavsya its red lights gloomy Arkturus. zamzar Overhead at Levin" caught and lost "extreme star of the handle of the bucket V.Vedmedytsi, and on the horizon trying to find the left of Andromeda Lizard ". Based on this description, using the moving map of the sky, it is necessary zamzar to determine when and where the hunt took place, namely: a) that the equatorial coordinates Lizards; b) the approximate latitude hunting; c) what was the season of the year; d) a calendar month, the approximate zamzar date. Course of solution of the problem described. Task 2 is known to bring the spacecraft into orbit, it is necessary to first escape velocity. 1 Do the same speed of satellites having circular orbits at altitudes of 250, 930, 17000 and 35800 km above the Earth's surface? Which of these is called a geostationary orbit and why? What speed are artificial devices that revolve in circular orbits at the same altitudes around zamzar Mars? Which of these orbits is called areostatsionarnoyu? 2 How long will be the astronauts in complete darkness and in the dark during one round of their flight in the days of equinox in the circular equatorial orbit around the Earth at an altitude of 930 km? Use picture. Why 3 feet missiles thrown back when it separated from the extracted satellite into orbit, the first satellite moves behind it, and it outperforms? Show schematically. 4 What do you advise astronauts as to where they should zamzar direct acc