Dear High Schoool Students!
You are invited to
participate in the
4th Canadian Astronomical Olympiad!
4th Canadian Astronomical Olympiad!
Check
the Problems:
1. Circumpolar
star: A circumpolar star is located at altitude 55 ° in its
upper culmination and altitude 15 ° in its lower culmination. Determine the
declination (δ) of
this star and the latitude (φ) of
the observation site.
2.
The movement of a star: A star in our
galaxy has the following characteristics: apparent magnitude m = 0.89m,
stellar parallax π
= 0.198″, radial velocity vr = -26 km/s, proper motion μ
= 0.658″/year.
a)
When
will this star be closest to the Sun?
b)
What
will be the smallest distance between this star and the Sun at that moment?
c)
What
will be the apparent magnitude of this star at the moment of closest proximity?
3. Telescope: The optical resolving power of a
telescope in orbit is m = 28m. What is the smallest sized object (albedo
A = 0.2) 40 AU from the Sun that can be visible with such a telescope?
4.
System of two stars: Calculate
the period of revolution of a system consisting of two stars, and the
eccentricities of the orbits of these stars. The maximum distance between these
stars is 80 AU, the minimal distance between these stars is 60 AU. The mass of
the first star is M1 = Msun (equal to the mass of the
Sun) and the mass of the second star is M2 = 3Msun (3 times
the mass of the Sun).
5. Betelgeuse:
Betelgeuse
is a red supergiant star. The next step in its stellar evolution will be to
explode: that’s what we call a supernova. It’s impossible to predict when this
will happen. It could be tomorrow or in 100,000 years!
Find the apparent
magnitude of Betelgeuse at flash maximum as a Supernova. How many years after Betelgeuse goes supernova,
will we learn about this? (mBetelgeuse ∼ 0.5m. Distance D = 220pc).
6. Redshift:
How many times larger or smaller is
the gravitational redshift of Betelgeuse compared to that of the Sun. The
mass of Betelgeuse МBet
= 17МSun
(~ 17 times the solar mass), and the radius of Betelgeuse RBet =
1000RSun (~ 1000 times solar the solar radius).
1. A.P. Klishenko, V.I. Shuplyak. Astronomy. Tutorial. 2004
2. Moscow Astronomical Olympiad
You think you can
solve them? If so, send your answers to info@astroclub.ca by May 12,
2020. You might be one of the lucky winners who will be selected to represent
Canada at 14th International Olympiad on Astronomy and
Astrophysics!
Congratulations to all the
winners of the
4th Canadian Astronomical
Olympiad!
Results of the
4th Canadian Astronomical Olympiad
School, Grade, Provinces
|
1
(6 max)
|
2
(6 max)
|
3
(6 max)
|
4
(6 max)
|
5
(6 max)
|
6
(6 max)
|
Results
(36 max)
|
Rank
|
|||
Zhening Li
|
Sir
John A. Macdonald S.S., 11, ON
|
6
|
6
|
6
|
6
|
6
|
6
|
36
|
1
|
||
Ethan Hu
|
M. Garneau Collegiate Institute,
11, ON
|
6
|
6
|
6
|
6
|
6
|
6
|
36
|
1
|
||
Eric Myzelev
|
W. L. Mackenzie C. I.,
11, ON
|
5.8
|
6
|
6
|
6
|
6
|
6
|
35.8
|
1
|
||
Daniel Yang
|
University of Toronto Schools.
10, ON
|
6
|
6
|
5.8
|
6
|
6
|
6
|
35.8
|
1
|
||
Angela Zhou
|
Magee Secondary School, 10, BC
|
4
|
6
|
6
|
6
|
6
|
6
|
34
|
2
|
||
Richard Zhang
|
M. Garneau Collegiate Institute, 11, ON
|
4
|
6
|
6
|
6
|
6
|
6
|
34
|
2
|
||
|
Milliken Mills High School,
11, ОN
|
3
|
6
|
5
|
6
|
6
|
6
|
32
|
2
|
||
Rena Liu
|
M. Garneau Collegiate Institute, 10, ON
|
4
|
5
|
3
|
5
|
6
|
6
|
29
|
2
|
||
Zhaoyan Sun
|
2.5
|
2
|
3
|
4
|
6
|
6
|
23.5
|
3
|
|||
Hector Chen
|
M. Garneau Collegiate Institute, 9,
ON
|
4
|
1
|
3
|
4
|
3
|
6
|
21
|
3
|
||
Yutong (Eric) Du
|
Bayview Secondary
School, 11
ON
|
3
|
2
|
2
|
3
|
3
|
6
|
19
|
3
|
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