Съдържание

IAO 2004, Всички кръгове — Задача 13. α7. Sun

Оригинал на условието (PDF)Съобщи за грешка

Всички материали от IAO 2004

IX International Astronomy Olympiad · 1 октомври 2004 г.

Внимание: Бележка към темата

Old photocopy scan. Two short passages of the official solutions are lost where the photocopied pages join (problem 4 between pages 4 and 5, the Sunrise solution between pages 13 and 14). The sky maps of the observational round are not in the archive file.

Условие

You have a sketch of sunspots for the days from January 10 to January 24, 2000. For each day determine the number of sunspots f and the number of groups of sunspots g, visible on this day on the solar disc. Using these data define Wolf’s number and put the results into the table:

№	Date	Julian date	Number of spots f	Number of groups g	Wolf’s number W
1.
..
..

Using the obtained results plot a graph of relation of Wolf’s number as a function of date.
Note: Julian date for today is 2453285.

Six sketches of the solar disc with sunspots, dated 10 - Jan - 2000, 12 - Jan - 2000, 14 - Jan - 2000, 16 - Jan - 2000, 18 - Jan - 2000 and 20 - Jan - 2000; each disc has an N–W orientation mark at its lower left.

Two sketches of the solar disc with sunspots, dated 22 - Jan - 2000 and 24 - Jan - 2000, each with an N–W orientation mark.

Решение

Sun. Солнце.

$W = k\cdot(10g + f)$ $k = 1$

№ / №	Date / Дата	Julian date / Юлианская дата	Number of spots f / Число пятен f	Number of groups g / Число групп g	Wolf’s number W / Число Вольфа W
1	10.01.2000	2451554	25	5	75
2	12.01.2000	2451556	54	9	144
3	14.01.2000	2451558	40	12	160
4	16.01.2000	2451560	48	11	158
5	18.01.2000	2451562	38	9	128
6	20.01.2000	2451564	20	7	90
7	22.01.2000	2451566	14	7	84
8	24.01.2000	2451568	16	7	86

Graph of Wolf's number W (vertical axis, 0 to 180) against JD (horizontal axis, 51550 to 51570) with eight plotted points.

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.

Оригинал в Архива: iao2004.pdf