ASTR 3730: Astrophysics 1 Problem Set #6 Due in class Friday Dec 14th Summary: ASTR 3730: Astrophysics 1 ­ Problem Set #6 Due in class Friday Dec 14th 1) Consider a transiting hot Jupiter planet orbiting a Solar mass star. The star has a radius of 7 x 1010 cm, while the planet has a radius of 8.5 x 109 cm. (i) Sketch the lightcurve (flux vs time) that you would expect to see during the transit. (ii) Calculate the maximum depth of the transit, expressed as a percentage of the unobscured flux from the star. (iii) If the smallest change in stellar flux that can be detected is 1 part in 104 (0.01%), what is the smallest radius moon that could be detected around the planet? Sketch the lightcurve that you would expect to see if the planet had a large moon. (iv) Even outside the transit, the flux from the star will display a (very) small variation due to the differing amounts of light reflected from the planet toward the observer. For a planet with an orbital period of 3 days, calculate the orbital radius a and hence estimate the magnitude (in percent) of this reflected light signature. 2) The most popular model for the short duration gamma-ray bursts is that these Collections: Physics