IAO 2004, Всички кръгове — Задача 7. β1. Distance between galaxies

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

There are about 100 galaxies in the cluster of galaxies in the constellation of Virgo. The region in our sky covered by this cluster is about 6×6∘6\times6^{\circ}. The distance to the cluster is equal to 15 Mpc. Estimate the average distance between the galaxies in this cluster.

Отговори

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, planetAverage distance to central body, in astr. unitsAverage distance to central body, in mln. kmSidereal (or analogous) period, in trop. yearsSidereal (or analogous) period, in daysEccentricity eEquat. diameter, kmMass, 102410^{24} kgAv. density, g/cm3^3Grav. acceler. at surf., m/s2^2Max. magn. from Earth **)Albedo
Солнце Sun1,6⋅1091{,}6\cdot10^{9}2,5⋅10112{,}5\cdot10^{11}2,2⋅1082{,}2\cdot10^{8}8⋅10108\cdot10^{10}139200019890001,409−26,8m-26{,}8^{m}
Меркурий Mercury0,38757,90,24187,970,2064 8790,33025,433,70−2,2m-2{,}2^{m}0,06
Венера Venus0,723108,20,615224,700,00712 1044,86905,248,87−4,7m-4{,}7^{m}0,78
Земля Earth1,000149,61,000365,260,01712 7565,97425,5159,810,36
Луна Moon0,002570,384400,074827,32170,0553 4750,07353,341,62−12,7m-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