Skip to main content

Paper III—Constraining Differential Rotation of Sun-like Stars from Asteroseismic and Starspot Rotation Periods

  • Chapter
  • First Online:
Differential Rotation in Sun-like Stars from Surface Variability and Asteroseismology

Part of the book series: Springer Theses ((Springer Theses))

  • 312 Accesses

Abstract

The content of this chapter has been published in Nielsen et al. (2015), A & A vol. 582, A10. The work was carried out and written by myself, under the supervision of L. Gizon, H. Schunker and J. Schou from the Max Planck Institute for Solar System Research.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Downloaded from the Mikulski Archive for Space Telescopes, http://archive.stsci.edu/kepler/.

  2. 2.

    http://keplerscience.arc.nasa.gov/PyKE.shtml.

References

  • C. Aerts, A. Thoul, J. Daszyńska, R. Scuflaire, C. Waelkens, M.A. Dupret, E. Niemczura, A. Noels, Asteroseismology of HD 129929: core overshooting and nonrigid rotation. Science 300, 1926–1928 (2003). doi:10.1126/science.1084993

    Article  ADS  Google Scholar 

  • C. Aerts, The age and interior rotation of stars from asteroseismology. Astronomische Nachrichten 336, 477 (2015). doi:10.1002/asna.201512177

    Article  ADS  Google Scholar 

  • R. Angus, S. Aigrain, D. Foreman-Mackey, A. McQuillan, Calibrating gyrochronology using Kepler asteroseismic targets. MNRAS 450, 1787–1798 (2015). doi:10.1093/mnras/stv423

    Article  ADS  Google Scholar 

  • W.H. Ball, L. Gizon, A new correction of stellar oscillation frequencies for near-surface effects. A & A 568, A123 (2014). doi:10.1051/0004-6361/201424325

    Article  ADS  Google Scholar 

  • S.A. Barnes, A simple nonlinear model for the rotation of main-sequence cool stars. I. Introduction, implications for gyrochronology, and color-period diagrams. ApJ 722, 222–234 (2010). doi:10.1088/0004-637X/722/1/222

  • S.A. Barnes, Ages for illustrative field stars using gyrochronology: viability, limitations, and errors. ApJ 669, 1167–1189 (2007). doi:10.1086/519295

    Article  ADS  Google Scholar 

  • S.A. Barnes, J. Weingrill, D. Fritzewski, K.G. Strassmeier, I. Platais, Rotation periods for cool stars in the 4 Gyr old open cluster M67, the solar-stellar connection, and the applicability of gyrochronology to at least solar age. ApJ 823, 16 (2016). doi:10.3847/0004-637X/823/1/16

    Article  ADS  Google Scholar 

  • S.A. Barnes, Y.-C. Kim, Angular momentum loss from cool stars: an empirical expression and connection to stellar activity. ApJ 721, 675 (2010). doi:10.1088/0004-637X/721/1/675

    Article  ADS  Google Scholar 

  • J.G. Beck, A comparison of differential rotation measurements—(Invited Review). Sol. Phys. 191, 47–70 (2000). doi:10.1023/A:1005226402796

    Article  ADS  Google Scholar 

  • O. Benomar, M. Takata, H. Shibahashi, T. Ceillier, R.A. García, Nearly uniform internal rotation of solar-like main-sequence stars revealed by space-based asteroseismology and spectroscopic measurements. MNRAS 452, 2654–2674 (2015). doi:10.1093/mnras/stv1493

    Article  ADS  Google Scholar 

  • W.J. Borucki, D. Koch, G. Basri, N. Batalha, T. Brown, D. Caldwell, J. Caldwell, J. Christensen-Dalsgaard, W.D. Cochran, E. DeVore, E.W. Dunham, A.K. Dupree, T.N. Gautier, J.C. Geary, R. Gilliland, A. Gould, S.B. Howell, J.M. Jenkins, Y. Kondo, D.W. Latham, G.W. Marcy, S. Meibom, H. Kjeldsen, J.J. Lissauer, D.G. Monet, D. Morrison, D. Sasselov, J. Tarter, A. Boss, D. Brownlee, T. Owen, D. Buzasi, D. Charbonneau, L. Doyle, J. Fortney, E. B. Ford, M.J. Holman, S. Seager, J.H. Steffen, W.F. Welsh, J. Rowe, H. Anderson, L. Buchhave, D. Ciardi, L. Walkowicz, W. Sherry, E. Horch, H. Isaacson, M.E. Everett, D. Fischer, G. Torres, J.A. Johnson, M. Endl, P. MacQueen, S.T. Bryson, J. Dotson, M. Haas, J. Kolodziejczak, J. Van Cleve, H. Chandrasekaran, J.D. Twicken, E.V. Quintana, B.D. Clarke, C. Allen, J. Li, H. Wu, P. Tenenbaum, E. Verner, F. Bruhweiler, J. Barnes, A. Prsa, Kepler planet-detection mission: introduction and first results. Science 327, 977 (2010). doi:10.1126/science.1185402

  • T.M. Brown, D.W. Latham, M.E. Everett, G.A. Esquerdo, Kepler input catalog: photometric calibration and stellar classification. AJ 142, 112 (2011). doi:10.1088/0004-6256/142/4/112

    Article  ADS  Google Scholar 

  • H. Bruntt, S. Basu, B. Smalley, W.J. Chaplin, G.A. Verner, T.R. Bedding, C. Catala, J.-C. Gazzano, J. Molenda-Żakowicz, A.O. Thygesen, K. Uytterhoeven, S. Hekker, D. Huber, C. Karoff, S. Mathur, B. Mosser, T. Appourchaux, T.L. Campante, Y. Elsworth, R.A. García, R. Handberg, T.S. Metcalfe, P.-O. Quirion, C. Régulo, I.W. Roxburgh, D. Stello, J. Christensen-Dalsgaard, S.D. Kawaler, H. Kjeldsen, R.L. Morris, E.V. Quintana, D.T. Sanderfer, Accurate fundamental parameters and detailed abundance patterns from spectroscopy of 93 solar-type Kepler targets. MNRAS 423, 122–131 (2012). doi:10.1111/j.1365-2966.2012.20686.x

    Article  ADS  Google Scholar 

  • W.J. Chaplin, T.R. Bedding, A. Bonanno, A.-M. Broomhall, R.A. García, S. Hekker, D. Huber, G.A. Verner, S. Basu, Y. Elsworth, G. Houdek, S. Mathur, B. Mosser, R. New, I.R. Stevens, T. Appourchaux, C. Karoff, T.S. Metcalfe, J. Molenda-Żakowicz, M.J.P.F.G. Monteiro, M.J. Thompson, J. Christensen-Dalsgaard, R.L. Gilliland, S.D. Kawaler, H. Kjeldsen, J. Ballot, O. Benomar, E. Corsaro, T.L. Campante, P. Gaulme, S.J. Hale, R. Handberg, E. Jarvis, C. Régulo, I.W. Roxburgh, D. Salabert, D. Stello, F. Mullally, J. Li, W. Wohler, Evidence for the impact of stellar activity on the detectability of solar-like oscillations observed by Kepler. ApJ 732, L5 (2011). doi:10.1088/2041-8205/732/1/L5

  • W.J. Chaplin, M.N. Lund, R. Handberg, S. Basu, L.A. Buchhave, T.L. Campante, G.R. Davies, D. Huber, D.W. Latham, C.A. Latham, A. Serenelli, H.M. Antia, T. Appourchaux, W.H. Ball, O. Benomar, L. Casagrande, J. Christensen-Dalsgaard, H.R. Coelho, O.L. Creevey, Y. Elsworth, R.A. Garc, P. Gaulme, S. Hekker, T. Kallinger, C. Karoff, S.D. Kawaler, H. Kjeldsen, M.S. Lundkvist, F. Marcadon, S. Mathur, A. Miglio, B. Mosser, C.R.I.W. Roxburgh, V. Silva Aguirre, D. Stello, K. Verma, T.R. White, T.R. Bedding, T. Barclay, D.L. Buzasi, S. Deheuvels, L. Gizon, G. Houdek, S.B. Howell, D. Salabert, D.R. Soderblom, Asteroseismology of solar-type stars with K2. ArXiv e-prints 1503.06690, Accepted for publication in PASP (2015)

    Google Scholar 

  • S. Charpinet, G. Fontaine, P. Brassard, Seismic evidence for the loss of stellar angular momentum before the white-dwarf stage. Nature 461, 501–503 (2009). doi:10.1038/nature08307

    Article  ADS  Google Scholar 

  • J. Christensen-Dalsgaard, ADIPLS-the Aarhus adiabatic oscillation package. Ap & SS 316, 113–120 (2008). doi:10.1007/s10509-007-9689-z

    Article  ADS  Google Scholar 

  • J.L. Christiansen, J.M. Jenkins, D.A. Caldwell, T. Barclay, S.T. Bryson, C.J. Burke, J. Campbell, J. Catanzarite, B.D. Clarke, J.L. Coughlin, F. Girouard, M.R. Haas, K. Ibrahim, T.C. Klaus, J.J. Kolodziejczak, J. Li, S.D. McCauliff, R.L. Morris, F. Mullally, E.V. Quintana, J. Rowe, A. Sabale, S. Seader, J.C. Smith, M.D. Still, P.G. Tenenbaum, S.E. Thompson, J.D. Twicken, A.K. Uddin, Kepler data characteristics handbook (KSCI-19040-004) (2013)

    Google Scholar 

  • G.R. Davies, W.J. Chaplin, W.M. Farr, R.A. García, M.N. Lund, S. Mathis, T.S. Metcalfe, T. Appourchaux, S. Basu, O. Benomar, T.L. Campante, T. Ceillier, Y. Elsworth, R. Handberg, D. Salabert, D. Stello, Asteroseismic inference on rotation, gyrochronology and planetary system dynamics of 16 Cygni. MNRAS 446, 2959–2966 (2015). doi:10.1093/mnras/stu2331

    Article  ADS  Google Scholar 

  • J.-D. do Nascimento, Jr., R.A. García, S. Mathur, F. Anthony, S.A. Barnes, S. Meibom, J.S. da Costa, M. Castro, D. Salabert, T. Ceillier, Rotation periods and ages of solar analogs and solar twins revealed by the Kepler mission. ApJ 790, L23 (2014). doi:10.1088/2041-8205/790/2/L23

  • S. D’Silva, R.F. Howard, Sunspot rotation and the field strengths of subsurface flux tubes. Sol. Phys. 151, 213–230 (1994). doi:10.1007/BF00679072

    Article  ADS  Google Scholar 

  • D. Foreman-Mackey, D.W. Hogg, D. Lang, J. Goodman, emcee: The MCMC Hammer. PASP 125, 306–312 (2013). doi:10.1086/670067

    Article  ADS  Google Scholar 

  • R.A. García, T. Ceillier, D. Salabert, S. Mathur, J.L. van Saders, M. Pinsonneault, J. Ballot, P.G. Beck, S. Bloemen, T.L. Campante, G.R. Davies, J.-D. do Nascimento, Jr., S. Mathis, T.S. Metcalfe, M.B. Nielsen, J.C. Suárez, W.J. Chaplin, A. Jiménez, C. Karoff, Rotation and magnetism of Kepler pulsating solar-like stars. Towards asteroseismically calibrated age-rotation relations. A & A 572, A34 (2014). doi:10.1051/0004-6361/201423888

  • L. Gizon, J. Ballot, E. Michel, T. Stahn, G. Vauclair, H. Bruntt, P.-O. Quirion, O. Benomar, S. Vauclair, T. Appourchaux, M. Auvergne, A. Baglin, C. Barban, F. Baudin, M. Bazot, T. Campante, C. Catala, W. Chaplin, O. Creevey, S. Deheuvels, N. Dolez, Y. Elsworth, R. Garcia, P. Gaulme, S. Mathis, S. Mathur, B. Mosser, C. Regulo, I. Roxburgh, D. Salabert, R. Samadi, K. Sato, G. Verner, S. Hanasoge, K.R. Sreenivasan, Seismic constraints on rotation of Sun-like star and mass of exoplanet. Proc. Natl. Acad. Sci. 110, 13267–13271 (2013). doi:10.1073/pnas.1303291110

    Article  ADS  Google Scholar 

  • L. Gizon, S.K. Solanki, Determining the inclination of the rotation axis of a Sun-like star. ApJ 589, 1009–1019 (2003). doi:10.1086/374715

    Article  ADS  Google Scholar 

  • R. Handberg, T.L. Campante, Bayesian peak-bagging of solar-like oscillators using MCMC: a comprehensive guide. A & A 527, A56 (2011). doi:10.1051/0004-6361/201015451

    Article  ADS  Google Scholar 

  • E. Høg, C. Fabricius, V.V. Makarov, S. Urban, T. Corbin, G. Wycoff, U. Bastian, P. Schwekendiek, A. Wicenec, The Tycho-2 catalogue of the 2.5 million brightest stars. A & A 355, L27–L30 (2000)

    Google Scholar 

  • Y.-C. Kim, P. Demarque, The theoretical calculation of the Rossby number and the “nonlocal” convective overturn time for pre-main-sequence and early post-main-sequence stars. ApJ 457, 340 (1996). doi:10.1086/176733

    Article  ADS  Google Scholar 

  • L.M. Krauss, B. Chaboyer, Age estimates of globular clusters in the milky way: constraints on cosmology. Science 299, 65–70 (2003). doi:10.1126/science.1075631

    Article  ADS  Google Scholar 

  • D.W. Kurtz, H. Saio, M. Takata, H. Shibahashi, S.J. Murphy, T. Sekii, Asteroseismic measurement of surface-to-core rotation in a main-sequence A star, KIC 11145123. MNRAS 444, 102–116 (2014). doi:10.1093/mnras/stu1329

    Article  ADS  Google Scholar 

  • Y. Lebreton, M.J. Goupil, Asteroseismology for “à la carte” stellar age-dating and weighing. Age and mass of the CoRoT exoplanet host HD 52265. A & A 569, A21 (2014). doi:10.1051/0004-6361/201423797

  • N.R. Lomb, Least-squares frequency analysis of unequally spaced data. Ap & SS 39, 447–462 (1976). doi:10.1007/BF00648343

    Article  ADS  Google Scholar 

  • M.N. Lund, M. Lundkvist, V. Silva Aguirre, G. Houdek, L. Casagrande, V. Van Eylen, T.L. Campante, C. Karoff, H. Kjeldsen, S. Albrecht, W.J. Chaplin, M.B. Nielsen, P. Degroote, G.R. Davies, R. Handberg. Asteroseismic inference on the spin-orbit misalignment and stellar parameters of HAT-P-7. A & A 570, A54 (2014). doi:10.1051/0004-6361/201424326

  • E.E. Mamajek, L.A. Hillenbrand, Improved age estimation for solar-type dwarfs using activity-rotation diagnostics. ApJ 687, 1264–1293 (2008). doi:10.1086/591785

    Article  ADS  Google Scholar 

  • S. Mathur, T.S. Metcalfe, M. Woitaszek, H. Bruntt, G.A. Verner, J. Christensen-Dalsgaard, O.L. Creevey, G. Doǧan, S. Basu, C. Karoff, D. Stello, T. Appourchaux, T.L. Campante, W.J. Chaplin, R.A. García, T.R. Bedding, O. Benomar, A. Bonanno, S. Deheuvels, Y. Elsworth, P. Gaulme, J.A. Guzik, R. Handberg, S. Hekker, W. Herzberg, M.J.P.F.G. Monteiro, L. Piau, P.-O. Quirion, C. Régulo, M. Roth, D. Salabert, A. Serenelli, M.J. Thompson, R. Trampedach, T.R. White, J. Ballot, I.M. Brandão, J. Molenda-Żakowicz, H. Kjeldsen, J.D. Twicken, K. Uddin, B. Wohler, A Uniform Asteroseismic Analysis of 22 Solar-type Stars Observed by Kepler. ApJ 749, 152 (2012). doi:10.1088/0004-637X/749/2/152

  • A. McQuillan, T. Mazeh, S. Aigrain, Rotation periods of 34,030 Kepler main-sequence stars: the full autocorrelation sample. ApJS 211, 24 (2014). doi:10.1088/0067-0049/211/2/24

    Article  ADS  Google Scholar 

  • S. Meibom, S.A. Barnes, I. Platais, R.L. Gilliland, D.W. Latham, R.D. Mathieu, A spin-down clock for cool stars from observations of a 2.5-billion-year-old cluster. Nature 517, 589–591 (2015). doi:10.1038/nature14118

  • T.S. Metcalfe, O.L. Creevey, G. Doğan, S. Mathur, H. Xu, T.R. Bedding, W.J. Chaplin, J. Christensen-Dalsgaard, C. Karoff, R. Trampedach, O. Benomar, B.P. Brown, D.L. Buzasi, T.L. Campante, Z. Çelik, M.S. Cunha, G.R. Davies, S. Deheuvels, A. Derekas, M.P. Di Mauro, R.A. García, J.A. Guzik, R. Howe, K.B. MacGregor, A. Mazumdar, J. Montalbán, M.J.P.F.G. Monteiro, D. Salabert, A. Serenelli, D. Stello, Steşacute, M. licki, M.D. Suran, M. Yıldız, C. Aksoy, Y. Elsworth, M. Gruberbauer, D.B. Guenther, Y. Lebreton, K. Molaverdikhani, D. Pricopi, R. Simoniello T.R. White, Properties of 42 solar-type Kepler targets from the asteroseismic modeling portal. ApJS 214, 27 (2014). doi:10.1088/0067-0049/214/2/27

  • J.A. Nelder, R. Mead, A simplex method for function minimization. Comput. J. 7(4), 308–313 (1965). doi:10.1093/comjnl/7.4.308, http://comjnl.oxfordjournals.org/content/7/4/308.abstract

  • M.B. Nielsen, L. Gizon, H. Schunker, C. Karoff, Rotation periods of 12 000 main-sequence Kepler stars: Dependence on stellar spectral type and comparison with v sin i observations. A & A 557, L10 (2013). doi:10.1051/0004-6361/201321912

    Article  ADS  Google Scholar 

  • M.B. Nielsen, L. Gizon, H. Schunker, J. Schou, Rotational splitting as a function of mode frequency for six Sun-like stars. A & A 568, L12 (2014). doi:10.1051/0004-6361/201424525

    Article  ADS  Google Scholar 

  • M.B. Nielsen, H. Schunker, L. Gizon, W.H. Ball, Constraining differential rotation of Sun-like stars from asteroseismic and starspot rotation periods. A & A 582, A10 (2015). doi:10.1051/0004-6361/201526615

    Article  ADS  Google Scholar 

  • B. Paxton, L. Bildsten, A. Dotter, F. Herwig, P. Lesaffre, F. Timmes, Modules for experiments in stellar astrophysics (MESA). ApJS 192, 3 (2011). doi:10.1088/0067-0049/192/1/3

    Article  ADS  Google Scholar 

  • B. Paxton, M. Cantiello, P. Arras, L. Bildsten, E.F. Brown, A. Dotter, C. Mankovich, M.H. Montgomery, D. Stello, F.X. Timmes, R. Townsend, Modules for experiments in stellar astrophysics (MESA): planets, oscillations, rotation, and massive stars. ApJS 208, 4 (2013). doi:10.1088/0067-0049/208/1/4

    Article  ADS  Google Scholar 

  • P.-O. Quirion, J. Christensen-Dalsgaard, T. Arentoft, Automatic determination of stellar parameters via asteroseismology of stochastically oscillating stars: comparison with direct measurements. ApJ 725, 2176–2189 (2010). doi:10.1088/0004-637X/725/2/2176

    Article  ADS  Google Scholar 

  • H. Rauer, C. Catala, C. Aerts, T. Appourchaux, W. Benz, A. Brandeker, J. Christensen-Dalsgaard, M. Deleuil, L. Gizon, M.-J. Goupil, M. Güdel, E. Janot-Pacheco, M. Mas-Hesse, I. Pagano, G. Piotto, D. Pollacco, C. Santos, A. Smith, J.-C. Suárez, R. Szabó, S. Udry, V. Adibekyan, Y. Alibert, J.-M. Almenara, P. Amaro-Seoane, M.A.-V. Eiff, M. Asplund, E. Antonello, S. Barnes, F. Baudin, K. Belkacem, M. Bergemann, G. Bihain, A.C. Birch, X. Bonfils, I. Boisse, A.S. Bonomo, F. Borsa, I.M. Brandão, E. Brocato, S. Brun, M. Burleigh, R. Burston, J. Cabrera, S. Cassisi, W. Chaplin, S. Charpinet, C. Chiappini, R.P. Church, S. Csizmadia, M. Cunha, M. Damasso, M.B. Davies, H.J. Deeg, R.F. Díaz, S. Dreizler, C. Dreyer, P. Eggenberger, D. Ehrenreich, P. Eigmüller, A. Erikson, R. Farmer, S. Feltzing, F. de Oliveira, Fialho, P. Figueira, T. Forveille, M. Fridlund, R.A. García, P. Giommi, G. Giuffrida, M. Godolt, J. Gomes da Silva, T. Granzer, J.L. Grenfell, A. Grotsch-Noels, E. Günther, C.A. Haswell, A.P. Hatzes, G. Hébrard, S. Hekker, R. Helled, K. Heng, J.M. Jenkins, A. Johansen, M.L. Khodachenko, K.G. Kislyakova, W. Kley, U. Kolb, N. Krivova, F. Kupka, H. Lammer, A.F. Lanza, Y. Lebreton, D. Magrin, P. Marcos-Arenal, P.M. Marrese, J.P. Marques, J. Martins, S. Mathis, S.M.S. Messina, A. Miglio, J. Montalban, M. Montalto, M.J.P.F.G. Monteiro, H. Moradi, E. Moravveji, C. Mordasini, T. Morel, A. Mortier, V. Nascimbeni, R.P. Nelson, M.B. Nielsen, L. Noack, A.J. Norton, A. Ofir, M. Oshagh, R.-M. Ouazzani, P. Pápics, V.C. Parro, P. Petit, B. Plez, E. Poretti, A. Quirrenbach, R. Ragazzoni, G. Raimondo, M. Rainer, D.R. Reese, R. Redmer, S. Reffert, B. Rojas-Ayala, I.W. Roxburgh, S. Salmon, A. Santerne, J. Schneider, J. Schou, S. Schuh, H. Schunker, A. Silva-Valio, R. Silvotti, I. Skillen, I. Snellen, F. Sohl, S.G. Sousa, A. Sozzetti, D. Stello, K.G. Strassmeier, M. Švanda, G.M. Szabó, A. Tkachenko, D. Valencia, V. Van Grootel, S.D. Vauclair, P. Ventura, F.W. Wagner, N.A. Walton, J. Weingrill, S.C. Werner, P.J. Wheatley, K. Zwintz, The PLATO 2.0 mission. Exp. Astron. 38, 249–330 (2014). doi:10.1007/s10686-014-9383-4

  • T. Reinhold, A. Reiners, Fast and reliable method for measuring stellar differential rotation from photometric data. A & A 557, A11 (2013). doi:10.1051/0004-6361/201321161

    Article  ADS  Google Scholar 

  • J.D. Scargle, Studies in astronomical time series analysis. II—statistical aspects of spectral analysis of unevenly spaced data. ApJ 263, 835–853 (1982). doi:10.1086/160554

  • J. Schou, H.M. Antia, S. Basu, R.S. Bogart, R.I. Bush, S.M. Chitre, J. Christensen-Dalsgaard, M.P. Di Mauro, W.A. Dziembowski, A. Eff-Darwich, D.O. Gough, D.A. Haber, J.T. Hoeksema, R. Howe, S.G. Korzennik, A.G. Kosovichev, R.M. Larsen, F.P. Pijpers, P.H. Scherrer, T. Sekii, T.D. Tarbell, A.M. Title, M.J. Thompson, J. Toomre, Helioseismic studies of differential rotation in the solar envelope by the solar oscillations investigation using the Michelson Doppler imager. ApJ 505, 390–417 (1998). doi:10.1086/306146

    Article  ADS  Google Scholar 

  • A. Skumanich, Time scales for CA II emission decay, rotational braking, and lithium depletion. ApJ 171, 565 (1972). doi:10.1086/151310

    Article  ADS  Google Scholar 

  • J.C. Smith, M.C. Stumpe, J.E. Van Cleve, J.M. Jenkins, T.S. Barclay, M.N. Fanelli, F.R. Girouard, J.J. Kolodziejczak, S.D. McCauliff, R.L. Morris, J.D. Twicken, Kepler presearch data conditioning II: a Bayesian approach to systematic error correction. PASP 124, 1000–1014 (2012). doi:10.1086/667697

    Article  ADS  Google Scholar 

  • H.B. Snodgrass, R.K. Ulrich, Rotation of Doppler features in the solar photosphere. ApJ 351, 309–316 (1990). doi:10.1086/168467

    Article  ADS  Google Scholar 

  • T. Stahn, Analysis of time series of solar-like oscillations—applications to the Sun and HD 52265. Ph.D. thesis, Göttingen University, Germany (2010)

    Google Scholar 

  • M.C. Stumpe, J.C. Smith, J.H. Catanzarite, J.E. Van Cleve, J.M. Jenkins, J.D. Twicken, F.R. Girouard, Multiscale systematic error correction via wavelet-based bandsplitting in Kepler data. PASP 126, 100–114 (2014). doi:10.1086/674989

    Article  ADS  Google Scholar 

  • J.L. van Saders, T. Ceillier, T.S. Metcalfe, V.S. Aguirre, M.H. Pinsonneault, R.A. García, S. Mathur, G.R. Davies, Weakened magnetic braking as the origin of anomalously rapid rotation in old field stars. Nature 529, 181–184 (2016). doi:10.1038/nature16168

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Martin Bo Nielsen .

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Nielsen, M.B. (2017). Paper III—Constraining Differential Rotation of Sun-like Stars from Asteroseismic and Starspot Rotation Periods. In: Differential Rotation in Sun-like Stars from Surface Variability and Asteroseismology. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-50989-1_4

Download citation

Publish with us

Policies and ethics