On the Atmospheres of the Smallest Gas Exoplanets
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On the Atmospheres of the Smallest Gas Exoplanets by Erin M. May A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy (Astronomoy and Astrophysics) in The University of Michigan 2019 Doctoral Committee: Assistant Professor Emily Rasucher, Chair Professor Fred Adams Professor Michael Meyer Professor John Monnier Erin M. May [email protected] ORCID iD: 0000-0002-2739-1465 c Erin M. May 2019 For my cat. May she learn to love me at least as much as I love this dissertation. ii ACKNOWLEDGEMENTS \I don't have emotions. And sometimes that makes me very sad." { Bender, the Robot I've never been much for emotions, but if it's a required component of this dissertation... First, thank you to Alex. I may have been a pain to deal with during parts of this process, but we both made it through. Thank you to Li'l B who taught me that not everything that's perfect is perfect for you and that love isn't unconditional. Especially from a cat. Thank you to the humans in the department who were there for me along the way. In particular, Emily, who was the advisor I needed but didn't deserve. To Renee for confirming that there's no such thing as too many macarons on a Friday, and for the constant commiserating throughout the past year. And because this human requested this acknowledgement, to Adi for saving me that one time from that one thing. Thank you to the regular GB@3 crew, even those who showed up late or barely at all. Thank you to Danilyn who made GB feel like a home. Also to Brian who always knew that the only thing that mattered was tacos and how many we wanted (needed). Thank you to all the other humans, mostly those who were especially nice humans. You know who you are. Finally, to the humans who told me I couldn't do it, thank you for giving me someone to prove wrong. Because, well, I did it. iii TABLE OF CONTENTS DEDICATION :::::::::::::::::::::::::::::::::::::: ii ACKNOWLEDGEMENTS :::::::::::::::::::::::::::::: iii LIST OF FIGURES ::::::::::::::::::::::::::::::::::: viii LIST OF TABLES :::::::::::::::::::::::::::::::::::: xi ABSTRACT ::::::::::::::::::::::::::::::::::::::: xiii CHAPTER I. Introduction ..................................1 1.1 Detection of Exoplanets . .1 1.1.1 The Transit Method . .2 1.1.2 The Radial Velocity Method . 12 1.1.3 Current Status of Exoplanet Detection and the Future of the Field . 16 1.2 Basic Parameters and Classifications of Exoplanets . 17 1.3 Transmission Spectroscopy . 21 1.3.1 Space-based Observations . 25 1.3.2 Ground-based Observations . 26 1.4 Atmospheric Modeling . 27 1.4.1 Energy Balance Models . 28 1.4.2 General Circulation Models . 29 1.5 Dissertation Overview . 30 II. MOPSS I: Flat Optical Spectra for the Hot Jupiters WASP-4b and WASP-52b ................................... 31 2.1 Preface . 31 2.2 Abstract . 31 2.3 Introduction . 32 iv 2.4 Observations . 34 2.4.1 The IMACS Instrument . 34 2.4.2 The planet WASP-4b . 36 2.4.3 The planet WASP-52b . 36 2.5 Data Analysis . 38 2.5.1 Reduction Pipeline . 38 2.5.2 Light Curves . 42 2.5.2.1 White Light Curves . 43 2.5.2.2 Binned Light Curves . 44 2.5.3 Error Analysis and Noise Removal . 50 2.6 Results . 51 2.6.1 Transmission Spectra . 51 2.6.2 WASP-4b . 52 2.6.3 WASP-52b . 54 2.6.3.1 Unocculted Star Spots . 54 2.6.3.2 Star Spots on the Stellar Limb . 55 2.7 Conclusions . 59 2.8 Acknowledgements . 60 2.9 Facilities and Software Used . 60 2.10 Appendix . 61 2.10.1 Check Star . 61 2.10.2 Tables of Results . 63 III. MOPSS II: Extreme Optical Scattering Slope for the Inflated Super- Neptune HATS-8b ............................... 67 3.1 Preface . 67 3.2 Abstract . 67 3.3 Introduction . 68 3.4 Observations . 71 3.4.1 The Inamori-Magellan Areal Camera & Spectrograph In- strument . 71 3.4.2 The planet HATS-8b . 72 3.5 Data Analysis . 73 3.5.1 Reduction Pipeline . 73 3.5.2 Removing Airmass Trend . 74 3.5.3 Correlated Noise Model . 75 3.5.4 Light Curves . 76 3.5.4.1 White Light Curves . 77 3.5.4.2 Binned Light Curves . 78 3.6 Results . 79 3.6.1 Transmission Spectrum . 79 3.6.2 Unocculted Star Spots . 84 3.6.3 A Clear Atmosphere . 88 3.6.4 Clouds and the Scattering Slope . 88 v 3.7 Conclusions . 92 3.8 Acknowledgements . 93 3.9 Facilities and Software Used . 93 IV. Living On the Edge: The Effects of a Surface on Atmospheric Cir- culation and Emission for 1.5R⊕ Planets ................. 95 4.1 Preface . 95 4.2 Abstract . 95 4.3 Introduction . 96 4.4 Method . 98 4.4.1 General Circulation Model . 98 4.4.2 Surface-Atmosphere Interactions . 99 4.4.2.1 Surface Heating . 100 4.4.2.2 Atmospheric Drag . 101 4.4.3 Choice of Model Resolution . 102 4.5 Model Validation . 103 4.5.1 Earth . 103 4.5.1.1 Model Inputs . 104 4.5.1.2 Results: Earth . 106 4.6 Transition Planet . 106 4.6.1 Planetary Properties . 108 4.6.2 Model Iterations . 110 4.7 Results: Transition Planet . 111 4.7.1 Band Integrated Emission and Top of the Atmosphere Albedos112 4.7.2 Zonal Averaged Emission and Reflection . 113 4.8 Conclusions and Future Directions . 117 V. Examining Tatooine: Atmospheric Models of Neptune-like Cir- cumbinary Planets .............................. 118 5.1 Preface . 118 5.2 Abstract . 118 5.3 Introduction . 119 5.4 Method . 121 5.4.1 Calculation of Orbits and Resulting Irradiation . 121 5.4.2 Energy Balance Model . 122 5.4.2.1 C: Heat Capacity Per Unit Area . 124 5.4.2.2 D: Diffusivity . 124 5.4.2.3 S(1-A): Stellar Irradiation and Albedo . 125 5.4.2.4 I: Cooling Function . 126 5.4.3 General Circulation Model . 126 5.4.3.1 GCM Heat Transport - applications to the EBM 128 5.5 Results . 128 5.5.1 Kepler 47b . 129 vi 5.5.1.1 Kepler 47b - EBM . 129 5.5.1.2 Kepler 47b - GCM . 131 5.5.2 Expanding Models to More Planets . 134 5.5.3 Introduction of Obliquity . 136 5.6 Conclusions . 139 5.6.1 Modeling of Circumbinary Planets . 139 5.6.2 Habitability of Circumbinary Planets . 140 5.6.3 Observables . 140 VI. Conclusion ................................... 142 6.1 Summary . 142 6.1.1 Transmission Spectroscopy and the Future of Exoplanet Ob- servations . 142 6.1.2 Atmospheric Modeling and the Future of Atmospheric Char- acterization . 144 6.2 Future Directions . 145 BIBLIOGRAPHY :::::::::::::::::::::::::::::::::::: 148 vii LIST OF FIGURES Figure 1.1 Schematic of a Transit . .3 1.2 Geometry of a Transit . .4 1.3 Schematic of Limb Darkening . .7 1.4 Limb Darkening and its effect on transits . .8 1.5 Occulted Spots and their effect on transits . 10 1.6 Exoplanets discovered with the transit method to-date. 11 1.7 Radial Velocity data of 51 Pegasi b . 13 1.8 All exoplanets discovered to-date. 16 1.9 Mass vs. Radius for known Exoplanets . 19 1.10 Composition Curves with Known Exoplanets Plotted . 20 1.11 Transmission Spectroscopy Schematic . ..