IAO 2004, Всички кръгове — Задача 19. Observational round, 3

IX International Astronomy Olympiad · 1 октомври 2004 г. · 8 т.

Условие

Find the stellar magnitudes of the given stars using data about comparing stars and write the answers on the map.

3.1. κ Cas (stars of comparing: φ Cas = $5{,}0^{m}$ and β Cas = $2{,}3^{m}$).

3.2. δ Cyg (α Cyg = $1{,}3^{m}$ and φ Cyg = $4{,}7^{m}$).

3.3. π Her (α Lyr = $0^{m}$ and φ Her = $4{,}2^{m}$).

3.4. β Cep (α Cas = $2{,}2^{m}$ and μ Cep = $4{,}1^{m}$).

You have a sky map of the necessary region.
(4·2p = 8p)

Решение

Group α, theoretical round

Data from the “Table of planetary data” may be used for the solving of every problem.
And the White Bear and Penguin are waiting for you on the practical round.

Group β, theoretical round

Data from the “Table of planetary data” may be used for the solving of every problem.
And the White Bear and Penguin are waiting for you in the practical round.

Parameters of orbits. Physical characteristics of some planets, Moon and Sun

Элементы орбит. Физические характеристики некоторых планет, Луны и Солнца

Body, planet	Average distance to central body, in astr. units	Average distance to central body, in mln. km	Sidereal (or analogous) period, in trop. years	Sidereal (or analogous) period, in days	Eccentricity e	Equat. diameter, km	Mass, $10^{24}$ kg	Av. density, g/cm$^3$	Grav. acceler. at surf., m/s$^2$	Max. magn. from Earth **)	Albedo
Солнце Sun	$1{,}6\cdot10^{9}$	$2{,}5\cdot10^{11}$	$2{,}2\cdot10^{8}$	$8\cdot10^{10}$		1392000	1989000	1,409		$-26{,}8^{m}$
Меркурий Mercury	0,387	57,9	0,241	87,97	0,206	4 879	0,3302	5,43	3,70	$-2{,}2^{m}$	0,06
Венера Venus	0,723	108,2	0,615	224,70	0,007	12 104	4,8690	5,24	8,87	$-4{,}7^{m}$	0,78
Земля Earth	1,000	149,6	1,000	365,26	0,017	12 756	5,9742	5,515	9,81		0,36
Луна Moon	0,00257	0,38440	0,0748	27,3217	0,055	3 475	0,0735	3,34	1,62	$-12{,}7^{m}$	0,07

**) Для внешних планет и Луны – в среднем противостоянии.
**) For outer planets and Moon – in mean opposition.

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Оригинал в Архива: iao2004.pdf