2019年USAAAO决赛第9题

来自astro-init

英文题目

9. (15 points)

a) Find the shortest distance from Boston ($$42.36010^{\circ} N, 71.05890^{\circ} W$$) to Beijing ($$39.90420^{\circ} N, 116.40740^{\circ} E$$)traveling along the Earth’s surface. Assume that the Earth is a uniform sphere of radius 6371 km.

b) What fraction of the path lies within the Arctic circle (north of $$66.56080^{\circ} N$$)?