While doing a transit study, you find an exoplanet around a nearby Sun-like star. The time between transits in \( \mathrm{P}=45 \) days. During a transit, the time from first to second contact is \( t_{2}-t_{1}=20 \) minutes and the time from first to third contact is \( t_{3}-t_{1}=5 \) hours. The depth of the transit is \( \frac{\delta F}{F}=0.05 \) (and we don't know the distance to the star so we can only measure the flux variation and not the luminosity variation; if we knew the distance this would then translate in \( \frac{\delta L}{L} \) ).8.1 Draw a lightcurve of the transit labeling \( t_{1}, t_{2} \) and \( t_{3} \) and indicating the \( \% \) in flux variation recorded.8.2 What is the radius of the planet (in meters)?8.3 What is the semi-major axis of the planet's orbit (in \( \mathrm{AU} \) )? While doing a transit study, you find an exoplanet around a nearby Sun-like star. Thetime between transits in P = 45 days. During a transit, the time from first to secondcontact is t2 - t₁ = 20 minutes and the time from first to third contact is t3 t1 = 5hours. The depth of the transit is F = 0.05 (and we don't know the distance to the starso we can only measure the flux variation and not the luminosity variation; if we knewthe distance this would then translate in L).8.1 Draw a lightcurve of the transit labeling t₁, t2 and t3 and indicating the % in fluxvariation recorded.8.2 What is the radius of the planet (in meters)?8.3 What is the semi-major axis of the planet's orbit (in AU)?(5 points)

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Applications and Investigations in Earth Science (9th Edition)

9th Edition

ISBN:9780134746241

Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa

Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa

Chapter1: The Study Of Minerals

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While doing a transit study, you find an exoplanet around a nearby Sun-like star. The time between transits in \( \mathrm{P}=45 \) days. During a transit, the time from first to second contact is \( t_{2}-t_{1}=20 \) minutes and the time from first to third contact is \( t_{3}-t_{1}=5 \) hours. The depth of the transit is \( \frac{\delta F}{F}=0.05 \) (and we don't know the distance to the star so we can only measure the flux variation and not the luminosity variation; if we knew the distance this would then translate in \( \frac{\delta L}{L} \) ).
8.1 Draw a lightcurve of the transit labeling \( t_{1}, t_{2} \) and \( t_{3} \) and indicating the \( \% \) in flux variation recorded.
8.2 What is the radius of the planet (in meters)?
8.3 What is the semi-major axis of the planet's orbit (in \( \mathrm{AU} \) )?