Published December 16, 2016 | Version v1
Thesis Open

Irregular Variability in Kepler Photometry

Creators

  • 1. Technical University of Munich

Contributors

  • 1. Max Planck Institute for Extraterrestrial Physics
  • 2. European Southern Observatory

Description

The transit method is the most successful tool for exoplanet discovery to date. With more than half of all known exoplanets discovered by \emph{Kepler} using this method, the mission also revealed a number of objects with dimming events that defy the common explanations, the most prominent being KIC 8462852 aka ``Tabby's star''. I embarked on a search for objects with such irregular transit signatures in the data of K2, the two-wheeled successor mission of \emph{Kepler}. My method is a combination of automated pre-selection of targets showing downward flux excursions and visual light curve inspection of the selected subset comprising about \SI{1.5}{\percent} of the initial sample. In addition, I developed a tool to constrain the effective temperature of a planet-hosting star from photometry alone. This software finds broad application in any science case where a photometric spectral type estimate is necessary. I used existing transit models and Bayesian inference to perform a Markov Chain Monte Carlo (MCMC) analysis of a planetary candidate I discovered. This putative gas giant is in a \SI{1.32}{\day} circular orbit with an exceptionally tight orbital radius of $a \approx 0.012\,\mathrm{AU}$. My analysis revealed a scaled planetary radius of $R_\mathrm{p}/R_\star = 0.0927\pm0.0026$ and an edge-on orientation with an inclination $i=89.8\substack{+3.0 \\ -3.4}$. EPIC 217393088.01 is one of the closest-orbiting exoplanets ever detected and the first giant planet with such a small orbital radius. An additional major finding of my search is EPIC 220262993, which exhibits aperiodic, asymmetric dips in flux with rapid dimming rates and up to \SI{\sim 25}{\percent} depth, lasting for \SIrange{2}{4}{\day}. In previous works based on optical and mid-infrared photometry, this object was inconsistently classified as a possible quasar or a white dwarf. We conducted follow-up observations both photometrically with GROND on the MPI/ESO \SI{2.2}{\meter} telescope in La Silla (Chile) and spectroscopically with FIRE on the Magellan/Baade \SI{6.5}{\meter} telescope. With additional spectroscopy using ESI on the Keck \rom{2} \SI{10}{\meter} telescope we were able to distinguish between these cases: EPIC 220262993 is a quasar with redshift $z=1.42$. This is the only known exemplar showing deep dips in flux on such a short time scale.

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References

  • [{A.~F. M.~Smith(1980)}]{Smith1980} A.~F. M.~Smith, D. J.~S. 1980, Journal of the Royal Statistical Society. Series B (Methodological), 42, 213
  • [{Akeson {et~al.}(2013)Akeson, Chen, Ciardi, Crane, Good, Harbut, Jackson, Kane, Laity, Leifer, Lynn, McElroy, Papin, Plavchan, Ram{\'{i}}rez, Rey, von Braun, Wittman, Abajian, Ali, Beichman, Beekley, Berriman, Berukoff, Bryden, Chan, Groom, Lau, Payne, Regelson, Saucedo, Schmitz, Stauffer, Wyatt, \& Zhang}]{Akeson2013} Akeson, R.~L., Chen, X., Ciardi, D., {et~al.} 2013, Publ. Astron. Soc. Pacific, 125, 989
  • [{Alonso {et~al.}(1999)Alonso, Arribas, \& Mart{\'{i}}nez-Roger}]{Alonso1999} Alonso, A., Arribas, S., \& Mart{\'{i}}nez-Roger, C. 1999, $\backslash$Aaps, 140, 261
  • [{Alonso {et~al.}(2008)Alonso, Auvergne, Baglin, Ollivier, Moutou, Rouan, Deeg, Aigrain, Almenara, Barbieri, Barge, Benz, Bord{\'{e}}, Bouchy, {De la Reza}, Deleuil, Dvorak, Erikson, Fridlund, Gillon, Gondoin, Guillot, Hatzes, H{\'{e}}brard, Kabath, Jorda, Lammer, L{\'{e}}ger, Llebaria, Loeillet, Magain, Mayor, Mazeh, P{\"{a}}tzold, Pepe, Pont, Queloz, Rauer, Shporer, Schneider, Stecklum, Udry, \& Wuchterl}]{Alonso2008} Alonso, R., Auvergne, M., Baglin, A., {et~al.} 2008, Astron. Astrophys., 482, 21
  • [{Anglada-Escud{\'{e}} {et~al.}(2016)Anglada-Escud{\'{e}}, Amado, Barnes, Berdi{\~{n}}as, Butler, Coleman, de~la Cueva, Dreizler, Endl, Giesers, Jeffers, Jenkins, Jones, Kiraga, K{\"{u}}rster, L{\'{o}}pez-Gonz{\'{a}}lez, Marvin, Morales, Morin, Nelson, Ortiz, Ofir, Paardekooper, Reiners, Rodr{\'{i}}guez, Rodrίguez-L{\'{o}}pez, Sarmiento, Strachan, Tsapras, Tuomi, \& Zechmeister}]{Anglada-Escude2016} Anglada-Escud{\'{e}}, G., Amado, P.~J., Barnes, J., {et~al.} 2016, 437--440, doi:10.1038/nature19106
  • [{Ansdell {et~al.}(2016)Ansdell, Gaidos, Rappaport, Jacobs, LaCourse, Jek, Mann, Wyatt, Kennedy, Williams, \& Boyajian}]{Ansdell2016} Ansdell, M., Gaidos, E., Rappaport, S.~A., {et~al.} 2016, Astrophys. J., 816, 69
  • [{Bailer-Jones(2011)}]{Bailer-Jones2011} Bailer-Jones, C. A.~L. 2011, Mon. Not. R. Astron. Soc., 411, 435
  • [{{Basri} {et~al.}(2011){Basri}, {Walkowicz}, {Batalha}, {Gilliland}, {Jenkins}, {Borucki}, {Koch}, {Caldwell}, {Dupree}, {Latham}, {Marcy}, {Meibom}, \& {Brown}}]{Basri2011} {Basri}, G., {Walkowicz}, L.~M., {Batalha}, N., {et~al.} 2011, \aj, 141, 20
  • [{Batygin \& Brown(2016)}]{Batygin2016} Batygin, K., \& Brown, M.~E. 2016, Astron. J., 151, 22
  • [{{Becker} {et~al.}(1994){Becker}, {White}, \& {Helfand}}]{Becker1994} {Becker}, R.~H., {White}, R.~L., \& {Helfand}, D.~J. 1994, in Astronomical Society of the Pacific Conference Series, Vol.~61, Astronomical Data Analysis Software and Systems III, ed. D.~R. {Crabtree}, R.~J. {Hanisch}, \& J.~{Barnes}, 165
  • [{{Bedding} {et~al.}(2011){Bedding}, {Mosser}, {Huber}, {Montalb{\'a}n}, {Beck}, {Christensen-Dalsgaard}, {Elsworth}, {Garc{\'{\i}}a}, {Miglio}, {Stello}, {White}, {De Ridder}, {Hekker}, {Aerts}, {Barban}, {Belkacem}, {Broomhall}, {Brown}, {Buzasi}, {Carrier}, {Chaplin}, {di Mauro}, {Dupret}, {Frandsen}, {Gilliland}, {Goupil}, {Jenkins}, {Kallinger}, {Kawaler}, {Kjeldsen}, {Mathur}, {Noels}, {Silva Aguirre}, \& {Ventura}}]{Bedding2011} {Bedding}, T.~R., {Mosser}, B., {Huber}, D., {et~al.} 2011, \nat, 471, 608
  • [{{Bochanski} \& {Claire}(2010)}]{Bochanski2010} {Bochanski}, J.~J., \& {Claire}, M.~W. 2010, in Bulletin of the American Astronomical Society, Vol.~42, American Astronomical Society Meeting Abstracts \#215, 288
  • [{Bodman \& Quillen(2016)}]{Bodman2016} Bodman, E. H.~L., \& Quillen, A. 2016, Astrophys. J., 819, L34
  • [{{Boffin}(2012)}]{Boffin2012} {Boffin}, H.~M.~J. 2012, in Orbital Couples: Pas de Deux in the Solar System and the Milky Way, ed. F.~{Arenou} \& D.~{Hestroffer}, 41--44
  • [{Borucki {et~al.}(2005)Borucki, Koch, Basri, Batalha, Brown, Caldwell, Caldwell, Christensen-Dalsgaard, Cochran, Devore, Dunham, Dupree, Iii, Geary, Gilliland, Gould, Howell, Jenkins, Kondo, Latham, Marcy, Meibom, Kjeldsen, Lissauer, Monet, Morrison, Sasselov, Tarter, Boss, Brownlee, Owen, Buzasi, Charbonneau, Doyle, Fortney, Ford, Holman, Seager, Steffen, Welsh, Rowe, Anderson, Buchhave, Ciardi, Walkowicz, Sherry, Horch, Isaacson, Everett, Fischer, Torres, Johnson, Endl, MacQueen, Bryson, Dotson, Haas, Kolodziejczak, Cleve, Chandrasekaran, Twicken, Quintana, Clarke, Allen, Li, Wu, Tenenbaum, Verner, Bruhweiler, Gautier, Geary, Gilliland, Gould, Howell, Jenkins, Kondo, Latham, Marcy, Meibom, Kjeldsen, Lissauer, Monet, Morrison, Sasselov, Tarter, Boss, Brownlee, Owen, Buzasi, Charbonneau, Doyle, Fortney, Ford, Holman, Seager, Steffen, Welsh, Rowe, Anderson, Buchhave, Ciardi, Walkowicz, Sherry, Horch, Isaacson, Everett, Fischer, Torres, Johnson, Endl, MacQueen, Bryson, Dotson, Haas, Kolodziejczak, {Van Cleve}, Chandrasekaran, Twicken, Quintana, Clarke, Allen, Li, Wu, Tenenbaum, Verner, Bruhweiler, Barnes, \& Prsa}]{Borucki2005} Borucki, W.~J., Koch, D., Basri, G., {et~al.} 2005, Science (80-. )., 327, 977
  • [{Boyajian {et~al.}(2012)Boyajian, von Braun, van Belle, McAlister, ten Brummelaar, Kane, Muirhead, Jones, White, Schaefer, Ciardi, Henry, L{\'{o}}pez-Morales, Ridgway, Gies, Jao, Rojas-Ayala, Parks, Sturmann, Sturmann, Turner, Farrington, Goldfinger, \& Berger}]{Boyajian2012a} Boyajian, T.~S., von Braun, K., van Belle, G., {et~al.} 2012, Astrophys. J., 757, 112
  • [{Boyajian {et~al.}(2016)Boyajian, LaCourse, Rappaport, Fabrycky, Fischer, Gandolfi, Kennedy, Korhonen, Liu, Moor, Olah, Vida, Wyatt, Best, Brewer, Ciesla, Cs{\'{a}}k, Deeg, Dupuy, Handler, Heng, Howell, Ishikawa, Kov{\'{a}}cs, Kozakis, Kriskovics, Lehtinen, Lintott, Lynn, Nespral, Nikbakhsh, Schawinski, Schmitt, Smith, Szabo, Szabo, Viuho, Wang, Weiksnar, Bosch, Connors, Goodman, Green, Hoekstra, Jebson, Jek, Omohundro, Schwengeler, \& Szewczyk}]{Boyajian2016} Boyajian, T.~S., LaCourse, D.~M., Rappaport, S.~A., {et~al.} 2016, Mon. Not. R. Astron. Soc., 457, 3988
  • [{Brescia {et~al.}(2015)Brescia, Cavuoti, \& Longo}]{Brescia2015} Brescia, M., Cavuoti, S., \& Longo, G. 2015, Mon. Not. R. Astron. Soc., 450, 3893
  • [{Bruno(1584)}]{Bruno1584} Bruno, G. 1584, {De l'infinito universo et mondi}
  • [{Carpenter(2001)}]{Carpenter2001} Carpenter, J.~M. 2001, Astron. J., 121, 2851
  • [{Carter \& Winn(2009)}]{Carter2009} Carter, J.~A., \& Winn, J.~N. 2009, Astrophys. J., 704, 51
  • [{Charbonneau {et~al.}(2000)Charbonneau, Brown, Latham, \& Mayor}]{Charbonneau2000} Charbonneau, D., Brown, T.~M., Latham, D.~W., \& Mayor, M. 2000, Astrophys. J., 529, L45
  • [{Castelli \& Kurucz(2004)}]{Castelli2004} Castelli, F., \& Kurucz, R.~L. 2004, ArXiv Astrophys. e-prints, xxx, 1
  • [{Christiansen(2013)}]{DAWGDataAnalysisWorkingGroup2012} Christiansen, J.~L. 2013, 1
  • [{Claret(2000)}]{Claret2000} Claret, A. 2000, Astron. Astrophys., 363
  • [{Claret \& Hauschildt(2003)}]{Claret2003} Claret, A., \& Hauschildt, P.~H. 2003, Astron. Astrophys., 412, 241
  • [{Cody \& Sasselov(2002)}]{Cody2002} Cody, A.~M., \& Sasselov, D.~D. 2002, Astrophys. J., 569, 451
  • [{Covey {et~al.}(2007)Covey, Ivezic, Schlegel, Finkbeiner, Padmanabhan, Lupton, Agueros, Bochanski, Hawley, West, Seth, Kimball, Gogarten, Claire, Haggard, Kaib, Schneider, Sesar, Ivezi{\'{c}}, Schlegel, Finkbeiner, Padmanabhan, Lupton, Ag{\"{u}}eros, Bochanski, Hawley, West, Seth, Kimball, Gogarten, Claire, Haggard, Kaib, Schneider, \& Sesar}]{Covey2007} Covey, K.~R., Ivezic, Z., Schlegel, D.~J., {et~al.} 2007, Astron. J., 134, 23
  • [{Cowan {et~al.}(2007)Cowan, Agol, \& Charbonneau}]{Cowan2007} Cowan, N.~B., Agol, E., \& Charbonneau, D. 2007, Mon. Not. R. Astron. Soc., 379, 641
  • [{Crampton {et~al.}(1997)Crampton, Gussie, Cowley, \& Schmidtke}]{Crampton1997} Crampton, D., Gussie, G., Cowley, A.~P., \& Schmidtke, P.~C. 1997, Astron. J., 114, 2353
  • [{Cubillos {et~al.}(2016)Cubillos, Harrington, Loredo, Lust, Blecic, \& Stemm}]{Cubillos2016} Cubillos, P., Harrington, J., Loredo, T.~J., {et~al.} 2016, arXiv:1610.01336
  • [{Demory {et~al.}(2011)Demory, Seager, Madhusudhan, Kjeldsen, Christensen-Dalsgaard, Gillon, Rowe, Welsh, Adams, Dupree, McCarthy, Kulesa, Borucki, Koch, \& Team}]{Demory2011} Demory, B.-O., Seager, S., Madhusudhan, N., {et~al.} 2011, Astrophys. J. Lett., 715, 6
  • [{Diaz-Cordoves \& Gimenez(1992)}]{Diaz-Cordoves1992} Diaz-Cordoves, J., \& Gimenez, A. 1992, Astron. Astrophys., 259
  • [{Doi {et~al.}(2010)Doi, Tanaka, Fukugita, Gunn, Yasuda, Ivezi{\'{c}}, Brinkmann, de~Haars, Kleinman, Krzesinski, \& Leger}]{sdss} Doi, M., Tanaka, M., Fukugita, M., {et~al.} 2010, Aj, 139, 1628
  • [{Dressing \& Charbonneau(2013)}]{Dressing2013} Dressing, C.~D., \& Charbonneau, D. 2013, Astrophys. J., 767, 95+
  • [{Espinoza \& Jord{\'{a}}n(2016)}]{Espinoza2016} Espinoza, N., \& Jord{\'{a}}n, A. 2016, {Limb-darkening and exoplanets II: Choosing the Best Law for Optimal Retrieval of Transit Parameters}
  • [{Evans {et~al.}(2016)Evans, Sing, Wakeford, Nikolov, Ballester, Drummond, Kataria, Gibson, Amundsen, \& Spake}]{Evans2016} Evans, T.~M., Sing, D.~K., Wakeford, H.~R., {et~al.} 2016, {Detection of H2O and evidence for TiO/VO in an ultra hot exoplanet atmosphere}
  • [{Feigelson \& Babu(2012)}]{Feigelson2012} Feigelson, E.~D., \& Babu, G.~J. 2012, {Modern Statistical Methods for Astronomy: With R Applications} (Cambridge: Cambridge University Press), doi:10.1017/CBO9781139015653
  • [{Fischer {et~al.}(2015)Fischer, Howard, Laughlin, Macintosh, Mahadevan, Sahlmann, \& Yee}]{Fischer2014} Fischer, D.~A., Howard, A.~W., Laughlin, G.~P., {et~al.} 2015, Protostars Planets VI, 715
  • [{Fischer {et~al.}(2012)Fischer, Schwamb, Schawinski, Lintott, Brewer, Giguere, Lynn, Parrish, Sartori, Simpson, Smith, Spronck, Batalha, Rowe, Jenkins, Bryson, Prsa, Tenenbaum, Crepp, Morton, Howard, Beleu, Kaplan, VanNispen, Sharzer, DeFouw, Hajduk, Neal, Nemec, Schuepbach, \& Zimmermann}]{Fischer2012} Fischer, D.~A., Schwamb, M.~E., Schawinski, K., {et~al.} 2012, Mon. Not. R. Astron. Soc., 419, 2900
  • [{Fischer {et~al.}(2016)Fischer, Knutson, Sing, Henry, Williamson, Fortney, Burrows, Kataria, Nikolov, Showman, Ballester, D{\'{e}}sert, Aigrain, Deming, des Etangs, \& Vidal-Madjar}]{Fischer2016} Fischer, P.~D., Knutson, H.~A., Sing, D.~K., {et~al.} 2016, arXiv:1601.04761
  • [{Foreman-Mackey(2016)}]{corner} Foreman-Mackey, D. 2016, The Journal of Open Source Software, 24, doi:10.21105/joss.00024
  • [{Foreman-Mackey {et~al.}(2013)Foreman-Mackey, Hogg, Lang, \& Goodman}]{Foreman-Mackey2013} Foreman-Mackey, D., Hogg, D.~W., Lang, D., \& Goodman, J. 2013, Publ. Astron. Soc. Pacific, 125, 306
  • [{Foschini {et~al.}(2015)Foschini, Berton, Caccianiga, Ciroi, Cracco, Peterson, Angelakis, Braito, Fuhrmann, Gallo, Grupe, J{\"{a}}rvel{\"{a}}, Kaufmann, Komossa, Kovalev, L{\"{a}}hteenm{\"{a}}ki, Lisakov, Lister, Mathur, Richards, Romano, Sievers, Tagliaferri, Tammi, Tibolla, Tornikoski, Vercellone, {La Mura}, Maraschi, \& Rafanelli}]{Foschini2015} Foschini, L., Berton, M., Caccianiga, A., {et~al.} 2015, Astron. Astrophys., 575, A13
  • [{G.~A.~Barnard(1962)}]{Barnard1962} G.~A.~Barnard, G. M.~Jenkins, C. B.~W. 1962, Journal of the Royal Statistical Society. Series A (General), 125, 321
  • [{Gauss(1816)}]{Gauss1816} Gauss, C.~F. 1816, Zeitschrift f{\"{u}}r Astron. und verwandte Wissenschaften, 1, 187
  • [{{Gentile Fusillo} {et~al.}(2015){Gentile Fusillo}, Gansicke, \& Greiss}]{GentileFusillo2015} {Gentile Fusillo}, N.~P., Gansicke, B.~T., \& Greiss, S. 2015, Mon. Not. R. Astron. Soc., 448, 2260
  • [{Gladman {et~al.}(1996)Gladman, Quinn, Nicholson, \& Rand}]{Gladman1996} Gladman, B., Quinn, D.~D., Nicholson, P., \& Rand, R. 1996, Icarus, 122, 166
  • [{Goldreich \& Soter(1966)}]{Goldreich1966} Goldreich, P., \& Soter, S. 1966, Icarus, 5, 375
  • [{Goodman \& Weare(2010)}]{Goodman2010} Goodman, J., \& Weare, J. 2010, Commun. Appl. Math. Comput. Sci., 5
  • [{Greiner(2016)}]{Greiner2016} Greiner, J. 2016, private communication
  • [{Greiner {et~al.}(2008)Greiner, Bornemann, Clemens, Deuter, Hasinger, Honsberg, Huber, Huber, Krauss, Kr{\"{u}}hler, {K{\"{u}}pc{\"{u}} Yoldaş}, Mayer-Hasselwander, Mican, Primak, Schrey, Steiner, Szokoly, Th{\"{o}}ne, Yoldaş, Klose, Laux, Winkler, Mican, Schrey, Steiner, Szokoly, Th{\"{o}}ne, Yoldaş, Klose, Laux, The, The, Huber, Huber, Krauss, Kr{\"{u}}hler, {K{\"{u}}pc{\"{u}} Yoldaş}, Mayer-Hasselwander, Mican, Primak, Schrey, Steiner, Szokoly, Th{\"{o}}ne, Yoldaş, Klose, Laux, \& Winkler}]{Greiner2008} Greiner, J., Bornemann, W., Clemens, C., {et~al.} 2008, Publ. Astron. Soc. Pacific, 120, 405
  • [{Haswell(2010)}]{Haswell2010} Haswell, C. 2010, Transiting Exoplanets (Cambridge University Press)
  • [{Hartman \& Bakos(2016)}]{Hartman2016} Hartman, J.~D., \& Bakos, G.~{\'{A}}. 2016, arXiv:1605.06811
  • [{Herbst \& Shevchenko(1999)}]{Herbst1999} Herbst, W., \& Shevchenko, V.~S. 1999, Astron. J., 118, 1043
  • [{Howard {et~al.}(2012)Howard, Marcy, Bryson, Jenkins, Rowe, Batalha, Borucki, Koch, Dunham, III, Cleve, Cochran, Latham, Lissauer, Torres, Brown, Gilliland, Buchhave, Caldwell, Christensen-Dalsgaard, Ciardi, Fressin, Haas, Howell, Kjeldsen, Seager, Rogers, Sasselov, Steffen, Basri, Charbonneau, Christiansen, Clarke, Dupree, Fabrycky, Fischer, Ford, Fortney, Tarter, Girouard, Holman, Johnson, Klaus, Machalek, Moorhead, Morehead, Ragozzine, Tenenbaum, Twicken, Quinn, Isaacson, Shporer, Lucas, Walkowicz, Welsh, Boss, Devore, Gould, Smith, Morris, Prsa, Morton, Still, Thompson, Mullally, Endl, \& MacQueen}]{Howard2012} Howard, A.~W., Marcy, G.~W., Bryson, S.~T., {et~al.} 2012, Astrophys. J. Suppl. Ser., 201, 15
  • [{Howell {et~al.}(2014)Howell, Sobeck, Haas, Still, Barclay, Mullally, Troeltzsch, Aigrain, Bryson, Caldwell, Chaplin, Cochran, Huber, Marcy, Miglio, Najita, Smith, Twicken, \& Fortney}]{Howell2014} Howell, S. S.~B., Sobeck, C., Haas, M., {et~al.} 2014, ArXiv(1402.5163), 25
  • [{Hubbard {et~al.}(2001)Hubbard, Fortney, Lunine, Burrows, Sudarsky, Pinto, {Ackerman, A., {\&} Marley}, {Brown, T. M., Charbonneau, D., Gilliland, R. L., Noyes, R. W., {\&} Burrows}, {Burrows, A., Guillot, T., Hubbard, W. B., Marley, M. S., Saumon, D., Lunine, J. I., {\&} Sudarsky}, {Burrows, A., Hubbard, W. B., Lunine, J. I., {\&} Liebert}, et~al. {Burrows, A.}, Chandrasekhar, {Charbonneau, D., Brown, T. M., Latham, D. W., {\&} Mayor}, {Dorschner, J., Begemann, B., Henning, T., Jager, C., {\&} Mutschke}, {Guillot, T., {\&} Showman}, {Henry, G. W., Marcy, G. W., Butler, R. P., {\&} Vogt}, {Hubbard, W. B., Yelle, R. V., {\&} Lunine}, Kurucz, et~al. {Lindal, G. F.}, {Lunine, J. I., Hubbard, W. B., Burrows, A., Wang, Y.-P., {\&} Garlow}, {Marley, M. S., Gelino, C., Stephens, D., Lunine, J. I., {\&} Freedman}, Rossow, {Seager, S., {\&} Sasselov}, {Smith, G. R., {\&} Hunten}, {Sudarsky, D., Burrows, A., {\&} Pinto}, van~de Hulst, {Van Hamme}, \& {Zheng, C., {\&} Borysow}}]{Hubbard2001} Hubbard, W.~B., Fortney, J.~J., Lunine, J.~I., {et~al.} 2001, Astrophys. J., 560, 413
  • [{Huber {et~al.}(2016)Huber, Bryson, Haas, Barclay, Barentsen, Howell, Sharma, Stello, \& Thompson}]{Huber2016} Huber, D., Bryson, S.~T., Haas, M.~R., {et~al.} 2016, Astrophys. J. Suppl. Ser., 224, 2
  • [{Ivanov {et~al.}(2004)Ivanov, Rieke, Engelbracht, Alonso-Herrero, Rieke, \& Luhman}]{Ivanov2004} Ivanov, V.~D., Rieke, M.~J., Engelbracht, C.~W., {et~al.} 2004, Astrophys. J. Suppl. Ser., 151, 387
  • [{Ivezic {et~al.}(2008)Ivezic, Tyson, Acosta, Allsman, Anderson, Andrew, Angel, Axelrod, Barr, Becker, Becla, Beldica, Blandford, Bloom, Borne, Brandt, Brown, Bullock, Burke, Chandrasekharan, Chesley, Claver, Connolly, Cook, Cooray, Covey, Cribbs, Cutri, Daues, Delgado, Ferguson, Gawiser, Geary, Gee, Geha, Gibson, Gilmore, Gressler, Hogan, Huffer, Jacoby, Jain, Jernigan, Jones, Juric, Kahn, Kalirai, Kantor, Kessler, Kirkby, Knox, Krabbendam, Krughoff, Kulkarni, Lambert, Levine, Liang, Lim, Lupton, Marshall, Marshall, May, Miller, Mills, Monet, Neill, Nordby, O'Connor, Oliver, Olivier, Olsen, Owen, Peterson, Petry, Pierfederici, Pietrowicz, Pike, Pinto, Plante, Radeka, Rasmussen, Ridgway, Rosing, Saha, Schalk, Schindler, Schneider, Schumacher, Sebag, Seppala, Shipsey, Silvestri, Smith, Smith, Strauss, Stubbs, Sweeney, Szalay, Thaler, {Vanden Berk}, Walkowicz, Warner, Willman, Wittman, Wolff, Wood-Vasey, Yoachim, Zhan, Collaboration, Berk, Walkowicz, Warner, Willman, Wittman, Wolff, Wood-Vasey, Yoachim, Zhan, \& Collaboration}]{Ivezic2008} Ivezic, Z., Tyson, J.~a., Acosta, E., {et~al.} 2008, eprint arXiv, 0805, 2366
  • [{Jenkins {et~al.}(2010)Jenkins, Caldwell, Chandrasekaran, Twicken, Bryson, Quintana, Clarke, Li, Allen, Tenenbaum, Wu, Klaus, Middour, Cote, McCauliff, Girouard, Gunter, Wohler, Sommers, Hall, Uddin, Wu, Bhavsar, {Van Cleve}, Pletcher, Dotson, Haas, Gilliland, Koch, \& Borucki}]{Jenkins2010} Jenkins, J.~M., Caldwell, D.~A., Chandrasekaran, H., {et~al.} 2010, Astrophys. J., 713, L87
  • [{Jones {et~al.}(2001--)Jones, Oliphant, Peterson, {et~al.}}]{SciPy} Jones, E., Oliphant, T., Peterson, P., {et~al.} 2001--, {SciPy}: Open source scientific tools for {Python}, [Online; accessed 2016-10-22]
  • [{Kass \& Wasserman(1996)}]{Kass1996} Kass, R.~E., \& Wasserman, L. 1996, J. Am. Stat. Assoc., 91, 1343
  • [{Kim {et~al.}(2011)Kim, Protopapas, Byun, Alcock, Khardon, \& Trichas}]{Kim2011} Kim, D.-W., Protopapas, P., Byun, Y.-I., {et~al.} 2011, Astrophys. J., 735, 68
  • [{Kinemuchi {et~al.}(2012)Kinemuchi, Fanelli, Pepper, Still, \& Howell}]{Kinemuchi2012} Kinemuchi, K., Fanelli, M., Pepper, J., Still, M., \& Howell, S.~B. 2012, Publ. Astron. Soc. Pacific, 124, 963
  • [{Kipping(2011)}]{Kipping2011} Kipping, D.~M. 2011, PhD thesis, arXiv:1105.3189
  • [{Kipping(2013{\natexlab{a}})}]{Kipping2013a} ---. 2013{\natexlab{a}}, Mon. Not. R. Astron. Soc., 435, 2152
  • [{Kipping(2013{\natexlab{b}})}]{Kipping2013b} ---. 2013{\natexlab{b}}, Mon. Not. R. Astron. Soc. Lett., 434, 51
  • [{Kipping \& Sandford(2016)}]{Kipping2016a} Kipping, D.~M., \& Sandford, E. 2016, {Bayesian priors for transiting planets}
  • [{Klinglesmith \& Sobieski(1970)}]{Klinglesmith1970} Klinglesmith, D.~A., \& Sobieski, S. 1970, Astron. J., 75, 175
  • [{Koch {et~al.}(2010)Koch, Borucki, Basri, Batalha, Brown, Caldwell, Christensen-Dalsgaard, Cochran, DeVore, Dunham, Gautier, Geary, Gilliland, Gould, Jenkins, Kondo, Latham, Lissauer, Marcy, Monet, Sasselov, Boss, Brownlee, Caldwell, Dupree, Howell, Kjeldsen, Meibom, Morrison, Owen, Reitsema, Tarter, Bryson, Dotson, Gazis, Haas, Kolodziejczak, Rowe, {Van Cleve}, Allen, Chandrasekaran, Clarke, Li, Quintana, Tenenbaum, Twicken, \& Wu}]{Koch2010} Koch, D.~G., Borucki, W.~J., Basri, G., {et~al.} 2010, Astrophys. J., 713, L79
  • [{Kopal(1950)}]{Kopal1950} Kopal, Z. 1950, Harvard Coll. Obs. Circ., 454
  • [{Kov{\'{a}}cs {et~al.}(2002)Kov{\'{a}}cs, Zucker, Mazeh, Kov{\'{a}}cs, Zucker, \& Mazeh}]{Kovacs2002} Kov{\'{a}}cs, G., Zucker, S., Mazeh, T., {et~al.} 2002, Astron. Astrophys., 391, 369
  • [{Kreidberg(2015)}]{Kreidberg2015} Kreidberg, L. 2015, 127, 1
  • [{Kroese(2011)}]{Kroese2011} Kroese, P. 2011, {Handbook of Monte Carlo Methods}
  • [{LaCourse {et~al.}(2015)LaCourse, Jek, Jacobs, Winarski, Boyajian, Rappaport, Sanchis-Ojeda, Conroy, Nelson, Barclay, Fischer, Schmitt, Wang, Stassun, Pepper, Coughlin, Shporer, \& Pr??a}]{LaCourse2015} LaCourse, D.~M., Jek, K.~J., Jacobs, T.~L., {et~al.} 2015, Mon. Not. R. Astron. Soc., 452, 3561
  • [{Levesque {et~al.}(2005)Levesque, Massey, Olsen, Plez, Josselin, Maeder, \& Meynet}]{Levesque2005} Levesque, E.~M., Massey, P., Olsen, K. A.~G., {et~al.} 2005, Astrophys. J., 628, 973
  • [{Levrard {et~al.}(2009)Levrard, Winisdoerffer, \& Chabrier}]{Levrard2009} Levrard, B., Winisdoerffer, C., \& Chabrier, G. 2009, Astrophys. J., 692, L9
  • [{Li {et~al.}(2010)Li, Miller, Lin, \& Fortney}]{Li2010} Li, S.-L., Miller, N., Lin, D. N.~C., \& Fortney, J.~J. 2010, Nature, 463, 1054
  • [{Lintott {et~al.}(2013)Lintott, Schwamb, Barclay, Sharzer, Fischer, Brewer, Giguere, Lynn, Parrish, Batalha, Bryson, Jenkins, Ragozzine, Rowe, Schwainski, Gagliano, Gilardi, Jek, P{\"{a}}{\"{a}}kk{\"{o}}nen, \& Smits}]{Lintott2013} Lintott, C.~J., Schwamb, M.~E., Barclay, T., {et~al.} 2013, Astron. J., 145, 151
  • [{Lisse {et~al.}(2015)Lisse, Sitko, \& Marengo}]{Lisse2015} Lisse, C.~M., Sitko, M.~L., \& Marengo, M. 2015, Astrophys. J., 815, L27
  • [{Lomb(1976)}]{Lomb1976} Lomb, N.~R. 1976, Astrophys. Space Sci., 39, 447
  • [{Luger {et~al.}(2016)Luger, Agol, Kruse, Barnes, Becker, Foreman-Mackey, \& Deming}]{Luger2016} Luger, R., Agol, E., Kruse, E., {et~al.} 2016, Astron. J., arXiv:1607.00524
  • [{Maceachern \& Berliner(1994)}]{Maceachern1994} Maceachern, S.~N., \& Berliner, L.~M. 1994, The American Statistician, 48, 188
  • [{Maciejewski {et~al.}(2016)Maciejewski, Dimitrov, Fern{\'{a}}ndez, Sota, Nowak, Ohlert, Nikolov, Bukowiecki, Hinse, Pall{\'{e}}, Tingley, Kjurkchieva, Lee, \& Lee}]{Maciejewski2016} Maciejewski, G., Dimitrov, D., Fern{\'{a}}ndez, M., {et~al.} 2016, Astron. Astrophys., 588, L6
  • [{MacKay(2005)}]{MacKay2005} MacKay, D. J.~C. 2005, {Information Theory, Inference, and Learning Algorithms David J.C. MacKay}, Vol. 100, 1--640, doi:10.1198/jasa.2005.s54
  • [{Mamajek {et~al.}(2012)Mamajek, Quillen, Pecaut, Moolekamp, Scott, Kenworthy, Cameron, \& Parley}]{Mamajek2012} Mamajek, E., Quillen, A., Pecaut, M., {et~al.} 2012, Astron. J., 143, 72
  • [{Mandel \& Agol(2002)}]{Mandel2002} Mandel, K., \& Agol, E. 2002, Astrophys. J., 580, L171
  • [{Mann {et~al.}(2013)Mann, Gaidos, Kraus, \& Hilton}]{Mann2013} Mann, A.~W., Gaidos, E., Kraus, A., \& Hilton, E.~J. 2013, Astrophys. J., 770, 43+
  • [{Masuda \& Suto(2016)}]{Masuda2016} Masuda, K., \& Suto, Y. 2016, {Transiting planets as a precision clock to constrain the time variation of the gravitational constant}
  • [{Mayor \& Queloz(1995)}]{Mayor1995} Mayor, M., \& Queloz, D. 1995, Nature, 378, 355
  • [{McGinnis {et~al.}(2015)McGinnis, Alencar, Guimar{\~{a}}es, Sousa, Stauffer, Bouvier, Rebull, Fonseca, Venuti, Hillenbrand, Cody, Teixeira, Aigrain, Favata, Fűr{\'{e}}sz, Vrba, Flaccomio, Turner, Gameiro, Dougados, Herbst, Morales-Calder{\'{o}}n, Micela, F{\"{u}}r{\'{e}}sz, {Vrba. F. J.}, Flaccomio, Turner, Gameiro, Dougados, Herbst, Morales-Calder{\'{o}}n, \& Micela}]{McGinnis2015} McGinnis, P.~T., Alencar, S. H.~P., Guimar{\~{a}}es, M.~M., {et~al.} 2015, arxiv Prepr. arXiv 1502.07692v2, 11, 27
  • [{Metropolis {et~al.}(1953)Metropolis, Rosenbluth, Rosenbluth, Teller, \& Teller}]{Metropolis1953} Metropolis, N., Rosenbluth, A.~W., Rosenbluth, M.~N., Teller, A.~H., \& Teller, E. 1953, J. Chem. Phys., 21, 1087
  • [{Metropolis \& Ulam(1949)}]{Metropolis1949} Metropolis, N., \& Ulam, S. 1949, {The Monte Carlo Method}, arXiv:44:335–341
  • [{{Monet}(1996)}]{Monet1996} {Monet}, D. 1996, in \baas, Vol.~28, Bulletin of the American Astronomical Society, 1282
  • [{Montet \& Simon(2016)}]{Montet2016} Montet, B.~T., \& Simon, J.~D. 2016, arXiv:1608.01316
  • [{{Mushotzky} {et~al.}(2011){Mushotzky}, {Edelson}, {Baumgartner}, \& {Gandhi}}]{Mushotzky2011} {Mushotzky}, R.~F., {Edelson}, R., {Baumgartner}, W., \& {Gandhi}, P. 2011, \apjl, 743, L12
  • [{{Newton}(1687)}]{Newton1687} {Newton}, I. 1687, {Philosophiae Naturalis Principia Mathematica. Auctore Js. Newton}, doi:10.3931/e-rara-440
  • [{P{\"{a}}tzold {et~al.}(2004)P{\"{a}}tzold, Carone, \& Rauer}]{Paetzold2004} P{\"{a}}tzold, M., Carone, L., \& Rauer, H. 2004, Astron. Astrophys. (ISSN 0004-6361), 427, 1075
  • [{Pecaut \& Mamajek(2013)}]{Pecaut2013} Pecaut, M.~J., \& Mamajek, E.~E. 2013, Astrophys. J. Suppl. Ser., 208, 9
  • [{Perrin {et~al.}(1998)Perrin, {Coud{\'{e}} du Foresto}, Ridgway, Mariotti, Traub, Carleton, \& Lacasse}]{Perrin1998} Perrin, G., {Coud{\'{e}} du Foresto}, V., Ridgway, S.~T., {et~al.} 1998, Astron. Astrophys., 626, 619
  • [{{Petigura}(2015)}]{Petigura2015PhDT} {Petigura}, E.~A. 2015, PhD thesis, University of California, Berkeley
  • [{Pickles(1998)}]{Pickles1998} Pickles, A.~J. 1998, Publ. Astron. Soc. Pacific, 110, 863
  • [{{Pigulski} {et~al.}(2009){Pigulski}, {Pojma{\'n}ski}, {Pilecki}, \& {Szczygie{\l}}}]{Pigulski2009} {Pigulski}, A., {Pojma{\'n}ski}, G., {Pilecki}, B., \& {Szczygie{\l}}, D.~M. 2009, \actaa, 59, 33
  • [{Quintana {et~al.}(2010)Quintana, Jenkins, Clarke, Chandrasekaran, Twicken, McCauliff, Cote, Klaus, Allen, Caldwell, \& Bryson}]{Quintana2010} Quintana, E.~V., Jenkins, J.~M., Clarke, B.~D., {et~al.} 2010, Proc. SPIE, 7740, 77401X
  • [{{Rauer} {et~al.}(2016){Rauer}, {Aerts}, {Cabrera}, \& {PLATO Team}}]{Rauer2016} {Rauer}, H., {Aerts}, C., {Cabrera}, J., \& {PLATO Team}. 2016, Astronomische Nachrichten, 337, 961
  • [{Richards {et~al.}(2015)Richards, Myers, Peters, Krawczyk, Chase, Ross, Fan, Jiang, Lacy, McGreer, Trump, \& Riegel}]{Richards2015} Richards, G.~T., Myers, A.~D., Peters, C.~M., {et~al.} 2015, Astrophys. J. Suppl. Ser., 219, 39
  • [{Ricker {et~al.}(2014)Ricker, Winn, Vanderspek, Latham, Bakos, Bean, Berta-Thompson, Brown, Buchhave, Butler, Butler, Chaplin, Charbonneau, Christensen-Dalsgaard, Clampin, Deming, Doty, {De Lee}, Dressing, Dunham, Endl, Fressin, Ge, Henning, Holman, Howard, Ida, Jenkins, Jernigan, Johnson, Kaltenegger, Kawai, Kjeldsen, Laughlin, Levine, Lin, Lissauer, MacQueen, Marcy, McCullough, Morton, Narita, Paegert, Palle, Pepe, Pepper, Quirrenbach, Rinehart, Sasselov, Sato, Seager, Sozzetti, Stassun, Sullivan, Szentgyorgyi, Torres, Udry, \& Villasenor}]{Ricker2014} Ricker, G.~R., Winn, J.~N., Vanderspek, R., {et~al.} 2014, arXiv, 9143, 914320
  • [{Rouan {et~al.}(2011)Rouan, Deeg, Demangeon, Samuel, Cavarroc, Fegley, \& L{\'{e}}ger}]{Rouan2011} Rouan, D., Deeg, H.~J., Demangeon, O., {et~al.} 2011, Astrophys. J. Lett., 17
  • [{Rodr{\'{i}}guez \& Ferraz-Mello(2010)}]{Rodriguez2010} Rodr{\'{i}}guez, A., \& Ferraz-Mello, S. 2010, EAS Publ. Ser., 42, 411
  • [{Sackett(1999)}]{Sackett1999} Sackett, P.~D. 1999, Planets Outs. Sol. Syst. Theory Obs. Ed. by J.-M. Mariotti D. Alloin. Dordr. ; Bost. Kluwer Acad. Publ., 189
  • [{Sanchis-Ojeda {et~al.}(2015)Sanchis-Ojeda, Rappaport, Pall{\'{e}}, Delrez, DeVore, Gandolfi, Fukui, Ribas, Stassun, Albrecht, Dai, Gaidos, Gillon, Hirano, Holman, Howard, Isaacson, Jehin, Kuzuhara, Mann, Marcy, Miles-P{\'{a}}ez, Monta{\~{n}}{\'{e}}s-Rodr{\'{i}}guez, Murgas, Narita, Nowak, Onitsuka, Paegert, {Van Eylen}, Winn, \& Yu}]{SanchisOjeda2015} Sanchis-Ojeda, R., Rappaport, S., Pall{\'{e}}, E., {et~al.} 2015, eprint arXiv:1504.04379, 2
  • [{{Savitzky} \& {Golay}(1964)}]{Savitzky1964} {Savitzky}, A., \& {Golay}, M.~J.~E. 1964, Analytical Chemistry, 36, 1627
  • [{Scaringi {et~al.}(2016)Scaringi, Manara, Barenfeld, Groot, Isella, Kenworthy, Knigge, Maccarone, Ricci, \& Ansdell}]{Scaringi2016} Scaringi, S., Manara, C.~F., Barenfeld, S.~A., {et~al.} 2016, 9, 1
  • [{Schaefer(2016)}]{Schaefer2016} Schaefer, B.~E. 2016, {KIC 8462852 Faded at an Average Rate of 0.165+-0.013 Magnitudes Per Century From 1890 To 1989}
  • [{Schlafly \& Finkbeiner(2011)}]{Schlafly2011} Schlafly, E.~F., \& Finkbeiner, D.~P. 2011, Astrophys. J., 737, 103
  • [{Schmitt {et~al.}(2014)Schmitt, Agol, Deck, Rogers, Gazak, Fischer, Wang, Holman, Jek, Margossian, Omohundro, Winarski, Brewer, Giguere, Lintott, Lynn, Parrish, Schawinski, Schwamb, Simpson, \& Smith}]{Schmitt2014} Schmitt, J.~R., Agol, E., Deck, K.~M., {et~al.} 2014, Astrophys. J., 795, 167
  • [{Schwarzschild \& Villiger(1906)}]{Schwarzschild1906} Schwarzschild, K., \& Villiger, W. 1906, Astrophys. J., 23, 284
  • [{Seager \& Sasselov(2000)}]{Seager2000} Seager, S., \& Sasselov, D.~D. 2000, Astrophys. J., 537, 916
  • [{Seager {et~al.}(2005)Seager, Turner, Schafer, \& Ford}]{Seager2005} Seager, S., Turner, E., Schafer, J., \& Ford, E. 2005, Astrobiology, 5, 372
  • [{Sedaghati {et~al.}(2016)Sedaghati, Boffin, Jeřabkov{\'{a}}, Mu{\~{n}}oz, Grenfell, Smette, Ivanov, Csizmadia, Cabrera, Kabath, Rocchetto, \& Rauer}]{Munoz2016} Sedaghati, E., Boffin, H. M.~J., Jeřabkov{\'{a}}, T., {et~al.} 2016, 2, 1
  • [{Sheinis {et~al.}(2002)Sheinis, Bolte, Epps, Kibrick, Miller, Radovan, Bigelow, \& Sutin}]{Sheinis2002} Sheinis, A.~I., Bolte, M., Epps, H.~W., {et~al.} 2002, Publ. Astron. Soc. Pacific, 114, 851
  • [{Simcoe {et~al.}(2013)Simcoe, Burgasser, Schechter, Fishner, Bernstein, Bigelow, Pipher, Forrest, McMurtry, Smith, \& Bochanski}]{Simcoe2013} Simcoe, R.~A., Burgasser, A.~J., Schechter, P.~L., {et~al.} 2013, Publ. Astron. Soc. Pacific, 125, 270
  • [{Sing {et~al.}(2011)Sing, Pont, Aigrain, Charbonneau, D{\'{e}}sert, Gibson, Gilliland, Hayek, Henry, Knutson, des Etangs, Mazeh, \& Shporer}]{Sing2011} Sing, D.~K., Pont, F., Aigrain, S., {et~al.} 2011, Mon. Not. R. Astron. Soc., 416, 1443
  • [{Skrutskie {et~al.}(2006)Skrutskie, Cutri, Stiening, Weinberg, Schneider, Carpenter, Beichman, Capps, Chester, Elias, Huchra, Liebert, Lonsdale, Monet, Price, Seitzer, Jarrett, Kirkpatrick, Gizis, Howard, Evans, Fowler, Fullmer, Hurt, Light, Kopan, Marsh, McCallon, Tam, {Van Dyk}, \& Wheelock}]{2MASS} Skrutskie, M., Cutri, R., Stiening, R., {et~al.} 2006, Astron. J., 131, 1163
  • [{Slipher(1930)}]{Slipher1930} Slipher, V.~M. 1930, J. R. Astron. Soc. Canada, 24
  • [{Smart \& Nicastro(2014)}]{Smart2014} Smart, R.~L., \& Nicastro, L. 2014, Astron. Astrophys., 570, A87
  • [{Stevenson {et~al.}(2014)Stevenson, D{\'{e}}sert, Line, Bean, Fortney, Showman, Kataria, Kreidberg, McCullough, Henry, Charbonneau, Burrows, Seager, Madhusudhan, Williamson, \& Homeier}]{Stevenson2014} Stevenson, K.~B., D{\'{e}}sert, J.-M., Line, M.~R., {et~al.} 2014, Science (80-. )., 346
  • [{Struve(1952)}]{Struve1952} Struve, O. 1952, Obs., 72, 199
  • [{Sudarsky {et~al.}(2002)Sudarsky, Burrows, \& Hubeny}]{Sudarsky2003} Sudarsky, D., Burrows, A., \& Hubeny, I. 2002, Astrophys. J., 588, 1121
  • [{Sumi {et~al.}(2005)Sumi, Wo, Eyer, Dobrzycki, Udalski, Szyma, Kubiak, Pietrzy, Soszy, Zebru, Szewczyk, \& Wyrzykowski}]{Sumi2005} Sumi, T., Wo, P.~R., Eyer, L., {et~al.} 2005, 335, 331
  • [{Taylor(2005)}]{TOPCAT} Taylor, M.~M. 2005, in Astronomical Society of the Pacific Conference Series, Vol. 347, Astron. Data Anal. Softw. Syst. XIV, ed. P.~Shopbell, M.~Britton, \& R.~Ebert, 29
  • [{Thompson(2016)}]{Thompson2016} Thompson, S.~E. 2016
  • [{{Thompson} {et~al.}(2012){Thompson}, {Everett}, {Mullally}, {Barclay}, {Howell}, {Still}, {Rowe}, {Christiansen}, {Kurtz}, {Hambleton}, {Twicken}, {Ibrahim}, \& {Clarke}}]{Thompson2012} {Thompson}, S.~E., {Everett}, M., {Mullally}, F., {et~al.} 2012, \apj, 753, 86
  • [{Trilling(2000)}]{Trilling2000} Trilling, D.~E. 2000, Astrophys. J., 537, L61
  • [{Vacca {et~al.}(1996)Vacca, Garmany, \& Shull}]{Vacca1996} Vacca, W.~D., Garmany, C.~D., \& Shull, J.~M. 1996, Astrophys. J., 460, 914
  • [{{Vanden Berk} {et~al.}(2001){Vanden Berk}, Richards, Bauer, Strauss, Schneider, Heckman, York, Hall, Fan, Knapp, Anderson, Annis, Bahcall, Bernardi, Briggs, Brinkmann, Brunner, Burles, Carey, Castander, Connolly, Crocker, Csabai, Doi, Finkbeiner, Friedman, Frieman, Fukugita, Gunn, Hennessy, Ivezi{\'{c}}, Kent, Kunszt, Lamb, Leger, Long, Loveday, Lupton, Meiksin, Merelli, Munn, Newberg, Newcomb, Nichol, Owen, Pier, Pope, Rockosi, Schlegel, Siegmund, Smee, Snir, Stoughton, Stubbs, SubbaRao, Szalay, Szokoly, Tremonti, Uomoto, Waddell, Yanny, \& Zheng}]{VandenBerk2001} {Vanden Berk}, D.~E., Richards, G.~T., Bauer, A., {et~al.} 2001, Astron. J., 122, 549
  • [{Vanderburg \& Johnson(2014)}]{Vanderburg2014b} Vanderburg, A., \& Johnson, J.~A. 2014, Publ. Astron. Soc. Pacific, 126, 948
  • [{Vanderburg {et~al.}(2015{\natexlab{a}})Vanderburg, Johnson, Rappaport, Bieryla, Irwin, Lewis, Kipping, Brown, Dufour, Ciardi, Angus, Schaefer, Latham, Charbonneau, Beichman, Eastman, McCrady, Wittenmyer, \& Wright}]{Vanderburg2015b} Vanderburg, A., Johnson, J.~A., Rappaport, S., {et~al.} 2015{\natexlab{a}}, Nature, 526, 546
  • [{Vanderburg {et~al.}(2015{\natexlab{b}})Vanderburg, Latham, Buchhave, Bieryla, Berlind, Calkins, Esquerdo, Welsh, \& Johnson}]{Vanderburg2015} Vanderburg, A., Latham, D.~W., Buchhave, L.~A., {et~al.} 2015{\natexlab{b}}, 23
  • [{Wayth {et~al.}(2008)Wayth, Dowd, \& Webster}]{Wayth2008} Wayth, B., Dowd, M.~O., \& Webster, R.~L. 2008, 7, 1
  • [{Wien(1896)}]{Wien1896} Wien, W. 1896, {Ueber die Energievertheilung im Emissionsspectrum eines schwarzen K{\"{o}}rpers}, doi:10.1002/andp.18962940803
  • [{Winn(2010)}]{Winn2010} Winn, J.~N. 2010, eprint arXiv, 1001, 2010
  • [{{Xu} {et~al.}(2016){Xu}, {Jura}, {Dufour}, \& {Zuckerman}}]{Xu2016} {Xu}, S., {Jura}, M., {Dufour}, P., \& {Zuckerman}, B. 2016, \apjl, 816, L22