IOAA 2019, theory — Задача 12. Distance to a Near-Earth Asteroid

Theory problem sheet · 25 т.

Условие

Assume that a Near-Earth Asteroid is observed by two astronomers, one from Nagykanizsa, Hungary and one from Windhoek, Namibia. The longitudes of the two cities are exactly 17° east of Greenwich. They observe the asteroid when it crosses their respective meridians. The Nagykanizsa-observer sees the asteroid 25° south of his zenith at this instant, while the Windhoek-observer sees it 45° north of his zenith at the same instant. The latitudes of the two cities are 46°27’ N and 22°34’ S, respectively. The sites of both astronomers are at sea level.

a) Draw a diagram of the geometric configuration. [5 т.]

b) What is the distance of this asteroid from the centre of the Earth, expressed in units of Earth-radii and the average Earth-Moon distance? Provide a solution which makes use of all available information. Neglect the effect of the atmospheric refraction. [20 т.]

Решение

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Оригинал в Архива: TH-problem-final.pdf · официални решения: TH-solution-final.pdf