A Figure 5 9 Shows A Transit Lightcurve For The Star Wasp 2 Using This Curve And A Radius For Wasp 2 Of 0 843 R Da 1 (118.13 KiB) Viewed 34 times
A Figure 5 9 Shows A Transit Lightcurve For The Star Wasp 2 Using This Curve And A Radius For Wasp 2 Of 0 843 R Da 2 (110.08 KiB) Viewed 34 times
(a) Figure 5.9 shows a transit lightcurve for the star WASP-2. Using this curve, and a radius for WASP-2 of 0.843 R. (Daemgen et al. 2009) estimate the radius of its planetary companion, WASP-2 b. Express your answer in units of Jupiter radii (RJ). 1 (b) Use the equation for a central (b=0) transit Ttr (R: +R) duration, and the Pp 2παρ generalized form of Kepler's third law (see Question 2), to derive an expression for ap in terms of Rx , Rp, and the transit duration, Ttr (but not P. t Pp). (c) Using Figure 5.9 and the expression you just derived, estimate the semimajor axis of WASP-2 b's orbit. The mass of WASP-2 is 0.89 Mo (Daemgen et al. 2009). (d) Given the radius and semimajor axis you found, what type of planet do you think this might be? Is it similar to any particular planet(s) in the solar system? Is it different from solar system planets? Explain your answer. (e) What is the geometric probability that a planet like WASP-2 b will transit a star like WASP-2?
1.02 1.01 1.00 Normalized Flux 0.99 more 0.98 0.97 -1.5 -1.0 -0.5 0.0 0.5 Time - Tc [hours] 1.0 - Figure 5.9. Transit lightcurve (normalized flux versus time from center of transit) of WASP-2 (showing the signature of its companion, WASP-2b), obtained at Vassar College's Class of 1951 Observatory by (then) undergraduate student Alexandra Trunnell. Notice the very different y-axis scale for this plot, as compared to Figure 5.8.
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