Euro-Asian Astronomical Society
```                                     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  (34œ45'  East,  65œ01'  North)  at

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 = -22œ.
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 = 0œ)  or in San-Paulo (latitude =
= -23.5œ)?
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.