2017年IAO理论高年组第2题-外星峰会

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低年组对应题目:2017年IAO理论低年组第2题-外星峰会

英文题目

β-2. Extraterrestrial summit. Extraterrestrial Bear and Extraterrestrial Penguin living in different planetary systems of our Galaxy, came to a summit organized at the Intercivilizational Space Station (ISS) somewhere in the depths of space, where no one star is visible brighter than 1^m. However, it appeared that both stars, from which planetary systems the Bear and the Penguin came, are visible with the naked eye at the summit (assume the sensitivity of the retina of these extraterrestrial animals to be the same as of humans), and the angular distance between them is equal to β (30 °< β < 90°).

2.1. Find the possible minimum and maximum linear distance between the native stars of the Bear and the Penguin? Give the answers in numerical form, and if it is not possible, as a function of the angle β. Consider the planetary systems are possible near the stars of spectral Classes from A to M of main sequence.

2.2. Include an artistic picture with an image of the Extraterrestrial Bear and Extraterrestrial Penguin (and possibly Other extraterrestrial animals) on the ISS.

中文题目

β-2 外星人峰会

生活在银河系中不同恒星系中的外星熊和外星企鹅参加了太空深处某个地方的文明际空间站（ISS）组织的一次峰会，在"ISS"这里，没有一颗恒星目视星等小于1等（均比1等星暗）。 然而在山顶上肉眼可以看见熊和企鹅的母恒星（假设这些外星动物的视网膜的灵敏度与人类相同）。已知两颗恒星之间的角距离为β（30°<β<90°）。

2.1 找出熊和企鹅的母恒星之间可能的最小和最大直线距离，并以数字形式给出答案。如果不可能，则作为角度β的函数。 考虑恒星可能在主序列的A到M的光谱类星附近。

2.2 画一幅外星熊和外星企鹅（以及可能的其他外星动物）在文明际空间站的画。