Spots And Flares: Stellar Activity In The Time Domain Era
Creators: name: Davenport, James
Publisher: name: Zenodo
Year: 2015
Subjects: Astronomy

description: Time domain photometric surveys for large numbers of stars have ushered in a new era of statistical studies of astrophysics. This new parameter space allows us to observe how stars behave and change on a human timescale, and facilitates ensemble studies to understand how stars change over cosmic timescales. With current and planned time domain stellar surveys, we will be able to put the Sun in a Galactic context, and discover how typical or unique our parent star truly is.

The goal of this thesis is to develop techniques for detecting and analyzing the most prominent forms of magnetic activity from low-mass stars in modern time domain surveys: starspots and flares. Magnetic field strength is a fundamental property that decays over a star’s life. As a result, flux modulations from both flares and starspots become smaller amplitude and more infrequent in light curves. Methods for detecting these forms of magnetic activity will be extensible to future time domain surveys, and helpful in characterizing the properties of stars as they age.

Flares can be detected in sparsely sampled wide field surveys by searching for bright single-point outliers in light curves. Using both red optical and near infrared data from ground-based surveys over many years, I have constrained the rate of flares in multiple wavelengths for an ensemble of M dwarfs. Studying flares in these existing ground-based datasets will enable predictions for future survey yields. 

Space-based photometry enables continuous and precise monitoring of stars for many years, which is crucial for obtaining a complete census of flares from a single star. Using 11 months of 1-minute photometry for the M dwarf GJ 1243, I have amassed over 6100 flare events, the largest sample of white light flares for any low-mass star. I have also created the first high fidelity empirical white light flare template, which shows three distinct phases in typical flare light curves. With this template, I demonstrate that complex multi-peaked flares can be decomposed into their constituent flare events. This is the first modern study of the detailed white light morphology of stellar flares.

Space-based survey data is also ideal for studying starspots, whose photometric mod- ulation amplitude is typically much smaller than for flares. Using 4 years of 30 minute photometry for GJ 1243, I have traced the sizes and longitudes for multiple large starspots. A primary starspot is found that is stable in position and size over the 4 years of data, as well as secondary starspot features that decay on 100 to 500 day timescales and evolve in longitude. The secular longitude evolution of the secondary starspots indicates a very low rate of di↵erential rotation on this rapidly rotating low-mass star.

The presence of a transiting exoplanet can provide a great deal of information about the sizes and locations of starspots on the host star. When the planet crosses in front of a starspot, a small deviation in the predicted transit light curve is observed. By tracing these transit anomalies, I have detected more than 100 distinct starspots in 4 years of data on the young G2 dwarf, Kepler 17. These starspots are up to an order of magnitude larger than those on the Sun, and this star shows an almost four times larger amplitude of di↵erential rotation than on the Sun.
description: {"references": ["Abazajian, K. N., Adelman-McCarthy, J. K., Agu \u0308eros, M. A., et al. 2009, ApJS, 182, 543 Abbett, W. P., &amp; Hawley, S. L. 1999, ApJ, 521, 906", "Adelman-McCarthy, J. K., Agu \u0308eros, M. A., Allam, S. S., et al. 2008, ApJS, 175, 297 Aigrain, S., Llama, J., Ceillier, T., et al. 2015, MNRAS, 450, 3211", "Aihara, H., Allende Prieto, C., An, D., et al. 2011, ApJS, 193, 29", "Allred, J. C., Hawley, S. L., Abbett, W. P., &amp; Carlsson, M. 2006, ApJ, 644, 484", "Andrews, A. D. 1965, Irish Astronomical Journal, 7, 20", "Anfinogentov, S., Nakariakov, V. M., Mathioudakis, M., Van Doorsselaere, T., &amp; Kowalski, A. F. 2013, ApJ, 773, 156", "Ankerst, M., Breunig, M. M., Kriegel, H.-P., &amp; Sander, J. 1999, in SIGMOD 1999, Proceed- ings ACM SIGMOD International Conference on Management of Data, June 1-3, 1999, Philadephia, Pennsylvania, USA, ed. A. Delis, C. Faloutsos, &amp; S. Ghandeharizadeh (ACM Press), 49\u201360", "Babcock, H. W. 1961, ApJ, 133, 572", "Barnes, J. R., Collier Cameron, A., Donati, J.-F., et al. 2005, MNRAS, 357, L1 Barnes, J. R., James, D. J., &amp; Collier Cameron, A. 2004, MNRAS, 352, 589 Basri, G., Walkowicz, L. M., Batalha, N., et al. 2010, ApJ, 713, L155", "Becker, A. C., Bochanski, J. J., Hawley, S. L., et al. 2011, ApJ, 731, 17", "Becker, A. C., Agol, E., Silvestri, N. M., et al. 2008, MNRAS, 386, 416", "Benz, A. O. 2008, Living Reviews in Solar Physics, 5, 1", "Berdyugina, S. V. 2005, Living Reviews in Solar Physics, 2, 8", "Berger, E., Leibler, C. N., Chornock, R., et al. 2013, ApJ, 779, 18", "Bertello, L., Pevtsov, A. A., &amp; Pietarila, A. 2012, ApJ, 761, 11", "Bochanski, J. J., Hawley, S. L., Covey, K. R., et al. 2010, AJ, 139, 2679 Bochanski, J. J., Munn, J. A., Hawley, S. L., et al. 2007a, AJ, 134, 2418 Bochanski, J. J., West, A. A., Hawley, S. L., &amp; Covey, K. R. 2007b, AJ, 133, 531 Bonomo, A. S., &amp; Lanza, A. F. 2012, A&amp;A, 547, A37", "Borucki, W. J., Koch, D., Basri, G., et al. 2010, Science, 327, 977", "Brandenburg, A., &amp; Subramanian, K. 2005, Phys. Rep., 417, 1", "Browning, M. K. 2008, ApJ, 676, 1262", "Browning, M. K., Basri, G., Marcy, G. W., West, A. A., &amp; Zhang, J. 2010, AJ, 139, 504 Bumba, V. 1963, Bulletin of the Astronomical Institutes of Czechoslovakia, 14, 91 Butler, C. J., Rodono, M., &amp; Foing, B. H. 1988, A&amp;A, 206, L1", "Butters, O. W., West, R. G., Anderson, D. R., et al. 2010, A&amp;A, 520, L10 Byrne, P. B. 1989, Sol. Phys., 121, 61", "Carrington, R. C. 1859, MNRAS, 20, 13", "Chabrier, G., &amp; Ku \u0308ker, M. 2006, A&amp;A, 446, 1027", "Chaplin, W. J., &amp; Miglio, A. 2013, ARA&amp;A, 51, 353", "Chaplin, W. J., Appourchaux, T., Elsworth, Y., et al. 2010, ApJ, 713, L169", "Charbonneau, P. 2005, Living Reviews in Solar Physics, 2, 2", "Christensen, U. R., Holzwarth, V., &amp; Reiners, A. 2009, Nature, 457, 167", "Christensen-Dalsgaard, J., &amp; Frandsen, S. 1983, Sol. Phys., 82, 469", "Claret, A., &amp; Bloemen, S. 2011, A&amp;A, 529, A75", "Cohen, M., Wheaton, W. A., &amp; Megeath, S. T. 2003, AJ, 126, 1090", "Collier Cameron, A. 2007, Astronomische Nachrichten, 328, 1030", "Covey, K. R., Ivezi \u0301c, Z\u02c7., Schlegel, D., et al. 2007, AJ, 134, 2398", "Cushing, M. C., Rayner, J. T., &amp; Vacca, W. D. 2005, ApJ, 623, 1115", "Czesla, S., Huber, K. F., Wolter, U., Schr \u0308oter, S., &amp; Schmitt, J. H. M. M. 2009, A&amp;A, 505, 1277", "Davenport, J. R. A., Becker, A. C., Kowalski, A. F., et al. 2012, ApJ, 748, 58", "Davenport, J. R. A., Bochanski, J. J., Covey, K. R., et al. 2007, AJ, 134, 2430", "Davenport, J. R. A., Hebb, L., &amp; Hawley, S. L. 2015a, ApJ, 806, 212", "Davenport, J. R. A., Ruan, J. J., Becker, A. C., Macleod, C. L., &amp; Cutri, R. M. 2015b, ApJ, 803, 2", "Davenport, J. R. A., Hawley, S. L., Hebb, L., et al. 2014, ApJ, 797, 122 Delfosse, X., Forveille, T., S \u0301egransan, D., et al. 2000, A&amp;A, 364, 217 D \u0301esert, J.-M., Charbonneau, D., Demory, B.-O., et al. 2011, ApJS, 197, 14", "Dobler, W., Stix, M., &amp; Brandenburg, A. 2006, ApJ, 638, 336", "Donati, J.-F., &amp; Brown, S. F. 1997, A&amp;A, 326, 1135", "Donati, J.-F., &amp; Collier Cameron, A. 1997, MNRAS, 291, 1", "Durney, B. R., De Young, D. S., &amp; Roxburgh, I. W. 1993, Sol. Phys., 145, 207 Eddy, J. A. 1976, Science, 192, 1189", "Eker, Z. 1996, ApJ, 473, 388", "Ester, M., Kriegel, H.-P., Sander, J., &amp; Xu, X. 1996, in Proc. of 2nd International Conference on Knowledge Discovery and, 226\u2013231", "Foreman-Mackey, D., Hogg, D. W., Lang, D., &amp; Goodman, J. 2013, PASP, 125, 306 Foukal, P. 1993, Sol. Phys., 148, 219", "Foukal, P., &amp; Lean, J. 1986, ApJ, 302, 826", "Frasca, A., Biazzo, K., Ta \u0327s, G., Evren, S., &amp; Lanzafame, A. C. 2008, A&amp;A, 479, 557 Frasca, A., Fr \u0308ohlich, H.-E., Bonanno, A., et al. 2011, A&amp;A, 532, A81", "Friedman, J. H. 1984, A Variable Span Smoother, Tech. Rep. 5, Department of Statistics, Stanford University", "Fuhrmeister, B., Liefke, C., Schmitt, J. H. M. M., &amp; Reiners, A. 2008, A&amp;A, 487, 293 Fukugita, M., Ichikawa, T., Gunn, J. E., et al. 1996, AJ, 111, 1748", "Gastine, T., Morin, J., Duarte, L., et al. 2013, A&amp;A, 549, L5", "Gershberg, R. E. 1972, Ap&amp;SS, 19, 75", "Gershberg, R. E. 1975, in IAU Symposium, Vol. 67, Variable Stars and Stellar Evolution, ed. V. E. Sherwood &amp; L. Plaut, 47\u201364", "Gershberg, R. E., &amp; Shakhovskaya, N. I. 1973, Nature Physical Science, 242, 85 Giampapa, M. S., Cram, L. E., &amp; Wild, W. J. 1989, ApJ, 345, 536", "Gizis, J. E., Burgasser, A. J., Berger, E., et al. 2013, ApJ, 779, 172", "Gondoin, P. 2008, A&amp;A, 478, 883", "Green, J. L., &amp; Boardsen, S. 2006, Advances in Space Research, 38, 130", "Grigis, P. C., &amp; Benz, A. O. 2005, ApJ, 625, L143", "Hall, D. S. 1994, International Amateur-Professional Photoelectric Photometry Communi- cations, 54, 1", "Hall, D. S., &amp; Henry, G. W. 1994, International Amateur-Professional Photoelectric Pho- tometry Communications, 55, 51", "Hathaway, D. H., &amp; Choudhary, D. P. 2008, Sol. Phys., 250, 269", "Hawley, S. L., Davenport, J. R. A., Kowalski, A. F., et al. 2014, ApJ, 797, 121 Hawley, S. L., &amp; Fisher, G. H. 1992, ApJS, 78, 565", "Hawley, S. L., &amp; Pettersen, B. R. 1991, ApJ, 378, 725", "Hawley, S. L., Fisher, G. H., Simon, T., et al. 1995, ApJ, 453, 464", "Hawley, S. L., Allred, J. C., Johns-Krull, C. M., et al. 2003, ApJ, 597, 535 Hayden, B. T., Garnavich, P. M., Kessler, R., et al. 2010, ApJ, 712, 350 Henry, G. W., Eaton, J. A., Hamer, J., &amp; Hall, D. S. 1995, ApJS, 97, 513 Hilton, E. J. 2011, PhD thesis, University of Washington", "Hilton, E. J., Hawley, S. L., Kowalski, A. F., &amp; Holtzman, J. 2011, in Astronomical Society of the Pacific Conference Series, Vol. 448, 16th Cambridge Workshop on Cool Stars, Stellar Systems, and the Sun, ed. C. Johns-Krull, M. K. Browning, &amp; A. A. West, 197", "Hilton, E. J., West, A. A., Hawley, S. L., &amp; Kowalski, A. F. 2010, AJ, 140, 1402", "Hoge, E. R. 1947, PASP, 59, 109", "Houdebine, E. R., Butler, C. J., Panagi, P. M., Rodono, M., &amp; Foing, B. H. 1991, A&amp;AS, 87, 33", "Hoyt, D. V., Schatten, K. H., &amp; Nesme-Ribes, E. 1994, Geophys. Res. Lett., 21, 2067", "Hull, C. L. H., Plambeck, R. L., Bolatto, A. D., et al. 2013, ApJ, 768, 159", "Hunt-Walker, N. M., Hilton, E. J., Kowalski, A. F., Hawley, S. L., &amp; Matthews, J. M. 2012, PASP, 124, 545", "Irwin, J., Berta, Z. K., Burke, C. J., et al. 2011, ApJ, 727, 56", "Irwin, J., Charbonneau, D., Nutzman, P., &amp; Falco, E. 2009, in IAU Symposium, Vol. 253, IAU Symposium, ed. F. Pont, D. Sasselov, &amp; M. J. Holman, 37\u201343", "Ivezi \u0301c, Z\u02c7., Smith, J. A., Miknaitis, G., et al. 2007, AJ, 134, 973", "Ivezi \u0301c, Z\u02c7., Tyson, J. A., Acosta, E., et al. 2008, ArXiv e-prints, # 0805.2366, arXiv:0805.2366 Javaraiah, J. 2011, Sol. Phys., 270, 463", "\u2014. 2015, New A, 34, 54", "Jenkins, J. S., Ramsey, L. W., Jones, H. R. A., et al. 2009, ApJ, 704, 975", "Jenkins, L. F. 1952, General catalogue of trigonometric stellar parallaxes., ed. Jenkins, L. F. Joy, A. H., &amp; Humason, M. L. 1949, PASP, 61, 133", "Karo\u21b5, C., Campante, T. L., Ballot, J., et al. 2013, ApJ, 767, 34", "Kashyap, V. L., Drake, J. J., Gu \u0308del, M., &amp; Audard, M. 2002, ApJ, 580, 1118", "Kipping, D. M. 2012, MNRAS, 427, 2487", "Kiraga, M., &amp; Stepien, K. 2007, Acta Astron., 57, 149", "Kitchatinov, L. L., &amp; Olemskoy, S. V. 2011, MNRAS, 411, 1059", "Koch, D. G., Borucki, W. J., Basri, G., et al. 2010, ApJ, 713, L79", "Kopal, Z. 1982, Ap&amp;SS, 87, 149", "Kosovichev, A. G., &amp; Fedorova, A. V. 1991, Soviet Ast., 35, 507", "Kowalski, A. F., Hawley, S. L., Hilton, E. J., et al. 2009, AJ, 138, 633", "Kowalski, A. F., Hawley, S. L., Holtzman, J. A., Wisniewski, J. P., &amp; Hilton, E. J. 2010, ApJ, 714, L98", "Kowalski, A. F., Hawley, S. L., Wisniewski, J. P., et al. 2013, ApJS, 207, 15", "Kowalski, A. F., Mathioudakis, M., Hawley, S. L., et al. 2011, in Astronomical Society of the Pacific Conference Series, Vol. 448, 16th Cambridge Workshop on Cool Stars, Stellar Systems, and the Sun, ed. C. Johns-Krull, M. K. Browning, &amp; A. A. West, 1157", "Krause, F., &amp; Ruediger, G. 1975, Sol. Phys., 42, 107", "Kron, G. E. 1947, PASP, 59, 261", "\u2014. 1950a, AJ, 55, 69", "\u2014. 1950b, Leaflet of the Astronomical Society of the Pacific, 6, 52 Kruse, E., &amp; Agol, E. 2014, Science, 344, 275", "Ku \u0308ker, M., &amp; Ru \u0308diger, G. 2005, Astronomische Nachrichten, 326, 265 \u2014. 2008, Journal of Physics Conference Series, 118, 012029", "\u2014. 2011, Astronomische Nachrichten, 332, 933", "Kunkel, W. E. 1970, ApJ, 161, 503", "\u2014. 1974, Nature, 248, 571", "Kurtz, D. W., Saio, H., Takata, M., et al. 2014, MNRAS, 444, 102", "Lacy, C. H., Mo\u21b5ett, T. J., &amp; Evans, D. S. 1976, ApJS, 30, 85", "Leighton, R. B. 1964, ApJ, 140, 1547", "L \u0301epine, S., &amp; Shara, M. M. 2005, AJ, 129, 1483", "Litzkow, M., Livny, M., &amp; Mutka, M. 1988, in Proceedings of the 8th International Confer- ence of Distributed Computing Systems", "Llama, J., Jardine, M., Mackay, D. H., &amp; Fares, R. 2012, MNRAS, 422, L72 Loebman, S. R., Ro\u02c7skar, R., Debattista, V. P., et al. 2011, ApJ, 737, 8 Lomb, N. R. 1976, Ap&amp;SS, 39, 447", "Lovell, B. 1969, Nature, 222, 1126", "Loyd, R. O. P., &amp; France, K. 2014, ApJS, 211, 9", "Lurie, J. C., Davenport, J. R. A., Hawley, S. L., et al. 2015, ApJ, 800, 95 MacLeod, C. L., Ivezi \u0301c, Z\u02c7., Kochanek, C. S., et al. 2010, ApJ, 721, 1014", "Madrid, J. P., &amp; Macchetto, D. 2009, in Bulletin of the American Astronomical Society, Vol. 41, Bulletin of the American Astronomical Society, 913\u2013914", "Mandel, K., &amp; Agol, E. 2002, ApJ, 580, L171", "Markwardt, C. B. 2009, in Astronomical Society of the Pacific Conference Series, Vol. 411, Astronomical Data Analysis Software and Systems XVIII, ed. D. A. Bohlender, D. Durand, &amp; P. Dowler, 251", "Martens, P. C. H., &amp; Kuin, N. P. M. 1989, Sol. Phys., 122, 263 Mazumdar, A., &amp; Antia, H. M. 2001, A&amp;A, 368, L8", "McQuillan, A., Aigrain, S., &amp; Mazeh, T. 2013, MNRAS, 432, 1203 McQuillan, A., Mazeh, T., &amp; Aigrain, S. 2014, ApJS, 211, 24 Miller, C. J., Genovese, C., Nichol, R. C., et al. 2001, AJ, 122, 3492 Mo\u21b5ett, T. J. 1974, ApJS, 29, 1", "Morgan, W. W., &amp; Keenan, P. C. 1973, ARA&amp;A, 11, 29", "Morgan, W. W., Keenan, P. C., &amp; Kellman, E. 1943, An atlas of stellar spectra, with an outline of spectral classification", "Morin, J., Donati, J.-F., Petit, P., et al. 2010, MNRAS, 407, 2269", "\u2014. 2008a, MNRAS, 390, 567", "Morin, J., Donati, J.-F., Forveille, T., et al. 2008b, MNRAS, 384, 77", "N. Reid &amp; S. L. Hawley, ed. 2000, New light on dark stars : red dwarfs, low mass stars, brown dwarfs", "Nielsen, M. B., Gizon, L., Schunker, H., &amp; Schou, J. 2014, A&amp;A, 568, L12", "Norton, A. A., Jones, E. H., &amp; Liu, Y. 2013, Journal of Physics Conference Series, 440, 012038", "Notsu, Y., Shibayama, T., Maehara, H., et al. 2013, ApJ, 771, 127", "Noyes, R. W., Hartmann, L. W., Baliunas, S. L., Duncan, D. K., &amp; Vaughan, A. H. 1984, ApJ, 279, 763", "Nutzman, P., &amp; Charbonneau, D. 2008, PASP, 120, 317", "O\u2019Neal, D., Ne\u21b5, J. E., Saar, S. H., &amp; Cuntz, M. 2004, AJ, 128, 1802", "O\u2019Neal, D., Ne\u21b5, J. E., Saar, S. H., &amp; Mines, J. K. 2001, AJ, 122, 1954", "Padmanabhan, N., Schlegel, D. J., Finkbeiner, D. P., et al. 2008, ApJ, 674, 1217", "Panagi, P. M., &amp; Andrews, A. D. 1995, MNRAS, 277, 423", "Parker, E. N. 1955, ApJ, 122, 293", "Pedregosa, F., Varoquaux, G., Gramfort, A., et al. 2011, Journal of Machine Learning Re- search, 12, 2825", "Perlmutter, S., Aldering, G., Goldhaber, G., et al. 1999, ApJ, 517, 565 Petrovay, K., &amp; van Driel-Gesztelyi, L. 1997, Sol. Phys., 176, 249 Pettersen, B. R., Coleman, L. A., &amp; Evans, D. S. 1984, ApJS, 54, 375 Pettersen, B. R., Hawley, S. L., &amp; Fisher, G. H. 1992, Sol. Phys., 142, 197 Pickles, A. J. 1998, PASP, 110, 863", "Plavchan, P., Gee, A. H., Stapelfeldt, K., &amp; Becker, A. 2008a, ApJ, 684, L37", "Plavchan, P., Jura, M., Kirkpatrick, J. D., Cutri, R. M., &amp; Gallagher, S. C. 2008b, ApJS, 175, 191", "Quintana, E. V., Barclay, T., Raymond, S. N., et al. 2014, Science, 344, 277", "Rabus, M., Alonso, R., Belmonte, J. A., et al. 2009, A&amp;A, 494, 391", "Ramsay, G., Doyle, J. G., Hakala, P., et al. 2013, MNRAS, 434, 2451", "Rau, A., Ofek, E. O., Kulkarni, S. R., et al. 2008, ApJ, 682, 1205", "Rayner, J. T., Cushing, M. C., &amp; Vacca, W. D. 2009, ApJS, 185, 289", "Reid, I. N., &amp; Hawley, S. L. 2005, New light on dark stars : red dwarfs, low-mass stars, brown dwarfs, ed. Reid, I. N. &amp; Hawley, S. L., doi:10.1007b98494", "Reiners, A. 2006, A&amp;A, 446, 267", "Reiners, A., &amp; Basri, G. 2007, ApJ, 656, 1121", "\u2014. 2009, A&amp;A, 496, 787", "Reiners, A., &amp; Schmitt, J. H. M. M. 2003, A&amp;A, 398, 647", "Reinhold, T., &amp; Reiners, A. 2013, A&amp;A, 557, A11", "Reinhold, T., Reiners, A., &amp; Basri, G. 2013, A&amp;A, 560, A4", "Robinson, R. D., Carpenter, K. G., &amp; Percival, J. W. 1999, ApJ, 516, 916", "Robinson, R. D., Carpenter, K. G., Percival, J. W., &amp; Bookbinder, J. A. 1995, ApJ, 451, 795", "Rodono`, M., &amp; Cutispoto, G. 1988, in Astrophysics and Space Science Library, Vol. 143, Activity in Cool Star Envelopes, ed. O. Havnes, J. E. Solheim, B. R. Pettersen, &amp; J. H. M. M. Schmitt , 163\u2013166", "Roettenbacher, R. M., Monnier, J. D., Harmon, R. O., Barclay, T., &amp; Still, M. 2013, ApJ, 767, 60", "Sanchis-Ojeda, R., &amp; Winn, J. N. 2011, ApJ, 743, 61", "Sanchis-Ojeda, R., Winn, J. N., Marcy, G. W., et al. 2013, ApJ, 775, 54", "Savanov, I. S., &amp; Dmitrienko, E. S. 2011, Astronomy Reports, 55, 890", "Scargle, J. D. 1982, ApJ, 263, 835", "Schatzman, E. 1959, in IAU Symposium, Vol. 9, URSI Symp. 1: Paris Symposium on Radio Astronomy, ed. R. N. Bracewell, 552", "Scherrer, P. H., Schou, J., Bush, R. I., et al. 2012, Sol. Phys., 275, 207", "Schmidt, S. J., Kowalski, A. F., Hawley, S. L., et al. 2012, ApJ, 745, 14", "Schrijver, C. J. 2011, in Astronomical Society of the Pacific Conference Series, Vol. 448, 16th Cambridge Workshop on Cool Stars, Stellar Systems, and the Sun, ed. C. Johns-Krull, M. K. Browning, &amp; A. A. West, 231", "Schrijver, C. J., &amp; Zwaan, C. 2000, Solar and Stellar Magnetic Activity (New York : Cam- bridge University Press, 2000 (Cambridge astrophysics series ; 34))", "Schrijver, C. J., Beer, J., Baltensperger, U., et al. 2012, Journal of Geophysical Research (Space Physics), 117, 8103", "Semel, M. 1989, A&amp;A, 225, 456", "Sesar, B., Ivezi \u0301c, Z\u02c7., Lupton, R. H., et al. 2007, AJ, 134, 2236 Shakhovskaya, N. I. 1989, Sol. Phys., 121, 375", "Shibayama, T., Maehara, H., Notsu, S., et al. 2013, ApJS, 209, 5 Silva, A. V. R. 2003, ApJ, 585, L147", "Silva Aguirre, V., Chaplin, W. J., Ballot, J., et al. 2011, ApJ, 740, L2 Skrutskie, M. F., Cutri, R. M., Stiening, R., et al. 2006, AJ, 131, 1163", "Slawson, R. W., Pr\u02c7sa, A., Welsh, W. F., et al. 2011, AJ, 142, 160", "Smith, J. C., Stumpe, M. C., Van Cleve, J. E., et al. 2012, PASP, 124, 1000", "Solomon, L. H. 1966, SAO Special Report, 210", "Spiegel, E. A., &amp; Zahn, J.-P. 1992, A&amp;A, 265, 106", "Stephenson, F. R., &amp; Willis, D. M. 1999, Astronomy &amp; Geophysics, 40, 6.21", "Stetson, P. B. 1996, PASP, 108, 851", "Strassmeier, K. G. 2009, A&amp;A Rev., 17, 251", "Szab \u0301o, R., Ivezi \u0301c, Z\u02c7., Kiss, L. L., et al. 2014, ApJ, 780, 92", "Thain, D., Tannenbaum, T., &amp; Livny, M. 2005, Concurrency - Practice and Experience, 17, 323", "Thompson, M. J., Christensen-Dalsgaard, J., Miesch, M. S., &amp; Toomre, J. 2003, ARA&amp;A, 41, 599", "To\u270femire, B. M., Wisniewski, J. P., Kowalski, A. F., et al. 2012, AJ, 143, 12", "Tovmassian, H. M., Zalinian, V. P., Silant\u2019ev, N. A., Cardona, O., &amp; Chavez, M. 2003, A&amp;A, 399, 647", "Tucker, D. L., Kent, S., Richmond, M. W., et al. 2006, Astronomische Nachrichten, 327, 821", "van Altena, W. F., Lee, J. T., &amp; Ho\u270feit, E. D. 1995, The general catalogue of trigonometric [stellar] parallaxes, ed. van Altena, W. F., Lee, J. T., &amp; Ho\u270feit, E. D.", "van Leeuwen, F. 2007, A&amp;A, 474, 653", "van Maanen, A. 1940, ApJ, 91, 503", "Vaquero, J. M. 2007, Advances in Space Research, 40, 929", "Vogt, S. S. 1981, in The Physics of Sunspots, ed. L. E. Cram &amp; J. H. Thomas, 455\u2013479 Vogt, S. S., Penrod, G. D., &amp; Hatzes, A. P. 1987, ApJ, 321, 496", "Walker, G., Matthews, J., Kuschnig, R., et al. 2003, PASP, 115, 1023", "Walkowicz, L. M., Basri, G., Batalha, N., et al. 2011, AJ, 141, 50", "Warren, H. P. 2006, ApJ, 637, 522", "Welch, D. L., &amp; Stetson, P. B. 1993, AJ, 105, 1813", "West, A. A., Hawley, S. L., Bochanski, J. J., et al. 2008, AJ, 135, 785", "West, A. A., Morgan, D. P., Bochanski, J. J., et al. 2011, AJ, 141, 97", "Willis, D. M., &amp; Stephenson, F. R. 2001, Annales Geophysicae, 19, 289", "Willson, R. C., &amp; Hudson, H. S. 1988, Nature, 332, 810", "Wittmann, A. D., &amp; Xu, Z. T. 1987, A&amp;AS, 70, 83", "Wright, E. L., Eisenhardt, P. R. M., Mainzer, A. K., et al. 2010, AJ, 140, 1868 Wright, N. J., Drake, J. J., Mamajek, E. E., &amp; Henry, G. W. 2011, ApJ, 743, 48 Xu, Y., Cao, W., Liu, C., et al. 2006, ApJ, 641, 1210", "Yadav, R. K., Gastine, T., Christensen, U. R., &amp; Reiners, A. 2015, A&amp;A, 573, A68 York, D. G., Adelman, J., Anderson, Jr., J. E., et al. 2000, AJ, 120, 1579 Zacharias, N., Finch, C. T., Girard, T. M., et al. 2013, AJ, 145, 44"]}