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
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 = -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.
