Euro-Asian Astronomical Society
The Second International Astronomy Olympiad
                                     SAO, Bukovo, October 22-28, 1997.


Theoretical exam.
                     Problems to solve,  8-10 Form


                                             Text of these problems is 
                                             available in Russian too.


     1. Two stars have the same absolute magnitude. One is  thou- 
sand times farther away than the other. What is the difference in 
apparent magnitudes? Which magnitude larger?

     2. What would an observer have seen sitting on the Moon  and 
looking at the Earth, when the total  eclipse  of  the  Sun  took 
place on the Solovetz Islands  (3445'  East,  6501'  North)  at 
5 a.m. July 22, 1990? Illustrate your answer with a drawing.

     3. The duration of the day on  Mars  is  only  approximately 
2.5 % longer than on Earth. The orbital period  of  Mars  is  687 
days. Find (approximately) the difference between the duration of 
the siderial day and the mean solar day on Mars.

     4. On the day of the all-the-world holiday  (fortieth  anni- 
versary of the launch of the first satellite), October  4,  1997, 
Venus was not far from its Eastern  elongation,  its  coordinates 
were approximately a = 15h20m, d = -22.
     Using the above data, estimate its coordinates and  position 
relative to the Sun on the day of the launch of the first  satel- 
lite, October 4, 1957. The orbital period of Venus is 0.61521  of 
the tropical year.

     5. Let us consider that observer is sitting on a  planet  of 
Syrius. Which object is brigter one in "his sky":
          either our Sun or the stars of the Big Dipper?

     6. Let us say that the Sun is in Zenith, if  it  covers  the 
Zenith by its disc. Where is it possible to see such an event mo- 
re often - in Quito  (latitude = 0)  or in San-Paulo (latitude = 
= -23.5)? 
Explain.

Theoretical exam.
                    Problems to solve,  11-12 Form


                                             Text of these problems is 
                                             available in Russian too.


     1. If a star is moving away from  the  Earth  at  very  high 
speed, will the star have a continuous spectrum that appears hot- 
ter or cooler than it would if the star were at rest? Explain.

     2. See problem 2. for 8-10 Form.

     3. In the course of star war one crazy  civilization  cut  a 
star in two halfs (without varing substance density and its  tem- 
perature). How did this lofty deed change the  star's  magnitude? 
What is the magnitude of the resulting double  star  compared  to 
that of the original star?

     4. See problem 4. for 8-10 Form.

     5. See problem 5. for 8-10 Form.

     6. What limits the resolving power of the 6-meter  telescope 
BTA in SAO? Calculate it. Explain your calculations.

Observational examination.

                Rules of the Examination,  9-12 Form


                                             The text is 
                                             available in Russian too. 


     Every participant has to show all the constellations in  the 
following parts of the sky (sky was not open, some  parts  of  it 
were covered by trees):
     1. North-East.
     2. South.
     3. North.

Practical exam.
                    Problem to solve,  9-12 Form                    


                                             Text of the problem is 
                                             available in Russian too.


Practical exam.
     Problem is about Doppler-effect, to find velosities  of  two 
stars using their spectra and spectrum of our  Sun,  to  estimate 
speed of the Earth moving around the Sun.


MGG * Nizhnij Arkhyz * 1997 * SAO RAS


© Dr. M.G.Gavrilov, ISSP RAS, Chairman of the Coordinating Council, 1997.

previous page previous level next page E-letters to OC of the Olympiad