Saturday, April 18, 2020

4th Canadian Astronomical Olympiad 2020



Dear High Schoool Students!
You are invited to participate in the 
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).
The following sources were used in preparations of these problems:
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
(3max)
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
Charles Cai


Milliken Mills High School,
11, О
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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