2018年USAAAO长问题第1道

英文题目

1. [15 pt] In 2008, while observing WASP-14, a main sequence star of mass $$1.211 M_{sun}$$ and radius $$1.306 R_{sun}$$, an exoplanet called WASP-14b was discovered via the transit method. Photometry as well as radial velocity data are shown in the figures. Transits occur once every 2.243753 days. The radial velocity of the center of mass of WASP-14 and its planet is -4.99 km/s. Fitting of the radial velocity curve indicates that the argument of periastron of the orbit of WASP-14b is $$254.9^{\circ}$$ .

(a) [5 pt] Determine the length of the semi-major axis of the orbit of WASP-14b.

(b) [5 pt] Determine the density of WASP-14b.

(c) [5 pt] Determine the eccentricity of the orbit of WASP-14b.