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Springer Theses Recognizing Outstanding Ph.D. Research Kento Masuda Exploring the Architecture of Transiting Exoplanetary Systems with High-Precision Photometry Springer Theses Recognizing Outstanding Ph.D. Research Aims and Scope The series “Springer Theses” brings together a selection of the very best Ph.D. theses from around the world and across the physical sciences. Nominated and endorsed by two recognized specialists, each published volume has been selected foritsscientificexcellenceandthehighimpactofitscontentsforthepertinentfield of research. For greater accessibility to non-specialists, the published versions includeanextendedintroduction,aswellasaforewordbythestudent’ssupervisor explainingthespecialrelevanceoftheworkforthefield.Asawhole,theserieswill provide a valuable resource both for newcomers to the research fields described, and for other scientists seeking detailed background information on special questions. Finally, it provides an accredited documentation of the valuable contributions made by today’s younger generation of scientists. Theses are accepted into the series by invited nomination only and must fulfill all of the following criteria (cid:129) They must be written in good English. (cid:129) ThetopicshouldfallwithintheconfinesofChemistry,Physics,EarthSciences, Engineeringandrelatedinterdisciplinary fields such asMaterials,Nanoscience, Chemical Engineering, Complex Systems and Biophysics. (cid:129) The work reported in the thesis must represent a significant scientific advance. (cid:129) Ifthethesisincludespreviouslypublishedmaterial,permissiontoreproducethis must be gained from the respective copyright holder. (cid:129) They must have been examined and passed during the 12 months prior to nomination. (cid:129) Each thesis should include a foreword by the supervisor outlining the signifi- cance of its content. (cid:129) The theses should have a clearly defined structure including an introduction accessible to scientists not expert in that particular field. More information about this series at http://www.springer.com/series/8790 Kento Masuda Exploring the Architecture of Transiting Exoplanetary Systems with High-Precision Photometry Doctoral Thesis accepted by the University of Tokyo, Tokyo, Japan 123 Author Supervisor Dr. KentoMasuda Prof. YasushiSuto Department ofAstrophysical Sciences Department ofPhysics Princeton University TheUniversity of Tokyo Princeton, NJ Tokyo USA Japan ISSN 2190-5053 ISSN 2190-5061 (electronic) SpringerTheses ISBN978-981-10-8452-2 ISBN978-981-10-8453-9 (eBook) https://doi.org/10.1007/978-981-10-8453-9 LibraryofCongressControlNumber:2018933005 ©SpringerNatureSingaporePteLtd.2018 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authorsortheeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinor for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations. Printedonacid-freepaper ThisSpringerimprintispublishedbySpringerNature TheregisteredcompanyisSpringerNatureSingaporePteLtd. Theregisteredcompanyaddressis:152BeachRoad,#21-01/04GatewayEast,Singapore189721,Singapore ’ Supervisor s Foreword SincethefirstdiscoveryofanexoplanetorbitingaroundaSun-likestar,exoplanets havebeenestablishedasoneofthemostfascinatingresearchareasinastronomy.In particular, the Kepler mission has told us numerous surprising diversities of exo- planetary systems, which are supposed to provide a variety of key clues to their origin and evolution over the cosmological timescales. In this thesis, the author presents several different approaches to the problem. AfterabriefoverviewoftheobserveddiversityofexoplanetarysystemsinChap.1, he reviews the observational methodology to determine the obliquity of host stars anddescribespossiblechannelstospin–orbitmisalignmentinChaps.2and3.The following chapters correspond to his original published results: first determination ofthetrue(notprojected)spin–orbitangleforthetransitingmulti-planetarysystem of a main-sequence host star, Kepler-25, and that for HAT-P-7 from a combined analysis of asteroseismology, transit photometry, and the Rossiter–McLaughlin effect(Chap.4).Hewasabletoderivebeautifullythespin–orbitmisalignmentsfor Kepler-13AbandHAT-P-7bfromtheprecisemodelingofgravitydarkeningeffect (Chap. 5). Finally, he successfully determined the architecture of the hierarchical triple system KIC 6543674 from the Kepler photometry alone (Chap. 6). The methodologies that he described in each chapter will find broader applica- tions in future data, and promise to provide fundamental contribution to under- standing formation and evolution of exoplanetary systems. I am confident that this book serves as a good introduction for readers who are interested in accurate modeling and characterization of exoplanetary systems. Tokyo, Japan Yasushi Suto January 2018 v Parts of this thesis have been published in the following journal articles: Chapter 4—Benomar, O., Masuda, K., Shibahashi, H., Suto, Y. “Determination of three-dimensional spin–orbit angle with joint analysis of asteroseismology, transit lightcurve,andtheRossiter–McLaughlineffect:CasesofHAT-P-7andKepler-25,” PublicationsoftheAstronomicalSocietyofJapan,66(2014)94(21pp.)Published by Oxford University Press on behalf of the Astronomical Society of Japan. Chapter 5—Masuda, K. “Spin–Orbit Angles of Kepler-13Ab and HAT-P-7b from Gravity-darkenedTransitLightCurves,”TheAstrophysicalJournal,805(2015)28 (14pp.) Published by IOP Publishing for the American Astronomical Society. Chapter6—Masuda,K.,Uehara,S.,Kawahara,H.“AbsoluteDimensionsofaFlat Hierarchical Triple System KIC 6543674 from the Kepler Photometry,” The AstrophysicalJournalLetters,806(2015)L37(7pp.)PublishedbyIOPPublishing for the American Astronomical Society. vii Acknowledgements Iwouldliketoexpressmydeepestgratitudetomysupervisor,YasushiSuto,forhis continuous encouragement, inspiring discussions, and many insightful comments on my works. I feel very fortunate that I had him as my supervisor, who gave me many opportunities to broaden the possibilities for myself, always encouraged me to pursue any topic I fancy, and sincerely listened to my ideas still in their very vagueforms.Aboveallelse,Ilearnedfromhisopen-mindednessandhisattitudeto think on his own to understand something. Chapter 4 of this thesis is a collaboration work with Othman Benomar and HiromotoShibahashi. Not only were they good teachersof asteroseismology, they were also very supportive collaborators, who gave me a marvelous opportunity to learn how the good collaboration works. Even after the completion of that work, theykeeplettingmeknowofstimulatingresearchtopicsintherelatedfields,which I appreciate very much. InChap.6,IwasfortunateenoughtohaveanopportunitytoworkwithHajime Kawahara and Sho Uehara. I enjoyed this work from start to finish, and whole- heartedly thank them for always stimulating conversations over a lot of coffee. Indeed, the work with them helped me to extend my research to the field I would haveneverimaginedtoworkonotherwise.Theexperiencealsomademefeelsure thattheinteractionbetweendiversepersonalitiesisanessentialpartoftheresearch. I am also grateful to Takayuki Kotani and Shin’ya Yamada, for sharing cheerful experience of observations as a part of the FLEX (Fuchinobe Lightcurve EXploration) collaboration. I would like to thank (ex-)members of the exoplanet group at UTAP (The UniversityofTokyoTheoreticalAstrophysicsgroup),YukaFujii,TeruyukiHirano, YuxinXue,ShoyaKamiaka,andMasatakaAizawa.IfeelfortunatethatIwasable to have them as good examples when I joined the group, and am thankful to them for sharing the seminars that motivated me to study exoplanets. I am particularly gratefultoTeruyukiHirano, whofirstintroduced theKeplerdata tomeandtaught methebasic ways ofanalyzingthem.Iowe it much tohim thatIwas able tostart my own research rather smoothly. ix x Acknowledgements I would also like to thank all the other members of UTAP and RESCEU (ResearchCenterfortheEarlyUniverse)forawonderfulenvironmentwhereIhad an enjoyable graduate student life. In particular, I would like to offer my special thanks to Masamune Oguri, Gen Chiaki, and Natsuki H. Hayatsu, with whom I spentafuntimeovercoffee,etc.Iwouldliketoexpressmyrespectfortheirefforts to make UTAP a better environment. MysincerethanksalsogotoJoshuaN.WinnandhisgroupattheMassachusetts Institute of Technology, where a part of this thesis was completed, for their hos- pitality and helpful conversations. In completing this thesis, I was also helped by the members of my thesis committee, Profs. Takao Nakagawa, Masahiro Ikoma, MasahiroTakada,SyngeTodo,SatoshiYamamoto,andNorikoY.Yamasaki,who gave me many constructive comments that remind me of what I need to bear in mind in my future research. I do appreciate their encouragement and support. Lastbutnotleast,Iwouldliketoexpressmydeepappreciationtomyparentsfor supporting me to study at graduate school, and to my spouse, Misa, for her gen- erosity and patience. ThisthesisincludesdatacollectedbytheKeplermission.FundingfortheKepler missionisprovidedbytheNationalAeronauticsandSpaceAdministration(NASA) ScienceMissionDirectorate.IamgratefultotheentireKeplerteamformakingthe revolutionarydataavailable.Someofthedatapresentedinthisthesiswereobtained fromtheMikulskiArchiveforSpaceTelescopes(MAST).STScIisoperatedbythe AssociationofUniversitiesforResearchinAstronomy,Inc.,underNASAcontract NAS5-26555. Support for MAST for non-HST data is provided by the NASA OfficeofSpaceScienceviagrantNNX09AF08Gandbyothergrantsandcontracts. We are also grateful toSimon Albrecht and Joshua N.Winn for providing us with the radial velocity data of Kepler-25 analyzed in Chap. 4. ThisthesishasmadeuseoftheNASAExoplanetArchive,whichisoperatedby the California Institute of Technology, under contract with NASA under the ExoplanetExplorationProgram.ThisthesishasmadeuseofNASA’sAstrophysics Data System Bibliographic Services as well. The data analysis was in part carried out on the common use data analysis computer system at the Astronomy Data Center, ADC, of the National Astronomical Observatory of Japan. I gratefully acknowledge the support by Japan Society for the Promotion of Science Research Fellowships for Young Scientists (No. 26-7182) and by the Leading Graduate Course for Frontiers of Mathematical Sciences and Physics. Contents 1 Diversity of the Extrasolar Worlds . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 The Overall Occurrence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1.1 Hot Jupiters. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.2 Super-Earths and Mini-Neptunes . . . . . . . . . . . . . . . . . . . 3 1.1.3 Cold and Warm Jupiters. . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.1.4 Eccentric Planets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2 Planet Hunting in a Nutshell . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.2.1 Direct Imaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.2.2 Radial Velocity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.2.3 Transit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.2.4 Microlensing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1.2.5 Timing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 1.2.6 Other Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.3 Directions of Stellar Spin and Planetary Orbits. . . . . . . . . . . . . . . 15 1.3.1 Is the Obliquity Distribution a Simple Function?. . . . . . . . 16 1.4 Plan of This Thesis. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2 Measurements of Stellar Obliquities . . . . . . . . . . . . . . . . . . . . . . . . . 21 2.1 Definition and Terminology . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 2.2 Obliquity from Spectroscopic Transit. . . . . . . . . . . . . . . . . . . . . . 22 2.2.1 The Rossiter-McLaughlin Effect . . . . . . . . . . . . . . . . . . . . 22 2.2.2 Doppler Tomography. . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.3 Obliquity from High-Precision Photometry. . . . . . . . . . . . . . . . . . 25 2.3.1 Asteroseismology. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.3.2 Gravity Darkening. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.3.3 Spectroscopic vsin i★ and Stellar Rotation Period . . . . . . . 28 2.3.4 Spot Anomaly. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 2.3.5 Spot-Modulation Amplitude . . . . . . . . . . . . . . . . . . . . . . . 29 xi

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