Physical Properties of KIC 9851944: Conclusion, Data Availability, Acknowledgments, and References

25 May 2024

This paper is available on arxiv under CC 4.0 license.


(1) Z. Jennings, Astrophysics Group, Keele University, Staffordshire, ST5 5BG, UK (E-mail:;

(2) J. Southworth, Astrophysics Group, Keele University, Staffordshire, ST5 5BG, UK;

(3) K. Pavlovski, Department of Physics, Faculty of Science, University of Zagreb, 10000 Zagreb, Croatia;

(4) T. Van Reeth, Institute of Astronomy, KU Leuven, Celestijnenlaan 200D, B-3001 Leuven, Belgium.


We investigated the systemic errors associated to using the cross correlation technique to extract RVs, which arise due to blending between the spectral lines of the components in a binary system. We find that the effect is small when using TODCOR but correcting for the issue is still necessary because the resulting shifts are clearly systematic in nature and have a non-negligible impact on the results. We used three independent spectroscopic methods to determine the light ratio for the system. The results are in agreement with each other and consistent with the value obtained from modelling the light curve which supports the reliability of our light curve solution. We compared our results to those reported by Guo et al. (2016) and find that we have improved the precision of the measured masses significantly, but the precision in the radius estimates are comparable. Both these outcomes are expected since we use much higher-resolution spectra but the same photometry (Kepler).

By analysing the residuals of the light curve model, we confirm the detection of tidally perturbed p-mode pulsations, possibly in both components of KIC 9851944. A short period spacing pattern was detected among the g modes and was assigned to the primary component, where perturbations to one of the g-modes was detected. Thus, the primary component is a δ Scuti/γ Doradus hybrid. If pulsation mode identification can be performed (as in, e.g., Bedding et al. 2020) on the p modes, KIC 9851944 will become a well-equipped laboratory for stellar physics.


This paper includes data collected by the Kepler and TESS missions which is publicly available at the Mikilski Archive for Space Telescopes (MAST) at the Space Telescope Science institute (STScl) (


We gratefully acknowledge Barry Smalley for his insightful comments regarding the properties of lines with synthetics, and sharing his thoughts on the possibility that the components of KIC 9851944 are Am stars.

We are grateful to Kelsey Clubb for assisting in obtaining and reducing the spectroscopic observations from the Shane telescope. TVR gratefully acknowledges funding from the KU Leuven Research Council (grant C16/18/005: PARADISE). We gratefully acknowledge financial support from the Science and Technology Facilities Council. This research has made use of the SIMBAD and CDS databases operated by the Centre de Données astronomiques de Strasbourg, France. This paper also made use of data from the Kepler and TESS missions obtained from the MAST data archive at the Space Telescope Science Institue (STScI). Funding for the Kepler and TESS missions is provided by the NASA Science Mission Directorate and NASA Explorer Program, respectively. STScI is operated by the Association of Universities for Research in Astronomy, Inc., under NASA contract NAS 5–26555.


Aerts C., Christensen-Dalsgaard J., Kurtz D. W., 2010, Asteroseismology.

Astron. and Astroph. Library, Springer Netherlands, Amsterdam

Aerts C., Van Reeth T., Tkachenko A., 2017, ApJ, 847, L7

Aerts C., Molenberghs G., De Ridder J., 2023, A&A, 672, A183

Andersen J., 1975, A&A, 44, 355

Antoci V., et al., 2014, ApJ, 796, 118

Baglin A., Auvergne M., Barge P., Deleuil M., Catala C., Michel E., Weiss W., COROT Team 2006, in Fridlund M., Baglin A., Lochard J., Conroy L., eds, ESA Special Publication Vol. 1306, The CoRoT Mission PreLaunch Status - Stellar Seismology and Planet Finding. p. 33

Balona L. A., Daszynska-Daszkiewicz J., Pamyatnykh A. A., 2015, ´ MNRAS, 452, 3073

Baran A. S., Koen C., Pokrzywka B., 2015, MNRAS, 448, L16

Bedding T. R., Murphy S. J., Colman I. L., Kurtz D. W., 2015, in European Physical Journal Web of Conferences. p. 01005 (arXiv:1411.1883), doi:10.1051/epjconf/201510101005

Bedding T. R., et al., 2020, Nature, 581, 147

Blanco-Cuaresma S., Soubiran C., Jofré P., Heiter U., 2014a, A&A, 566, A98

Blanco-Cuaresma S., Soubiran C., Heiter U., Jofré P., 2014b, A&A, 569, A111

Borucki W. J., et al., 2010, Science, 327, 977

Bouabid M. P., Dupret M. A., Salmon S., Montalbán J., Miglio A., Noels A., 2013, MNRAS, 429, 2500

Bowman D. M., Kurtz D. W., 2018, MNRAS, 476, 3169

Bradley P. A., Guzik J. A., Miles L. F., Uytterhoeven K., Jackiewicz J., Kinemuchi K., 2015, AJ, 149, 68

Breger M., 2000, in Breger M., Montgomery M., eds, Astronomical Society of the Pacific Conference Series Vol. 210, Delta Scuti and Related Stars. p. 3

Breger M., Beichbuchner F., 1996, A&A, 313, 851

Butters O. W., et al., 2010, A&A, 520, L10

Carpenter J. M., 2001, AJ, 121, 2851

Chaplin W. J., Miglio A., 2013, ARA&A, 51, 353

Choi J., Dotter A., Conroy C., Cantiello M., Paxton B., Johnson B. D., 2016, ApJ, 823, 102

Claret A., 2017, A&A, 600, A30

Claret A., Bloemen S., 2011, A&A, 529, A75

Claret A., Torres G., 2016, A&A, 592, A15

Claret A., Torres G., 2017, ApJ, 849, 18

Claret A., Torres G., 2018, ApJ, 859, 100

Claret A., Torres G., 2019, ApJ, 876, 134

Conroy K. E., Prša A., Stassun K. G., Orosz J. A., Fabrycky D. C., Welsh W. F., 2014, AJ, 147, 45

Cutri R. M., et al., 2003, 2MASS All Sky Catalogue of Point Sources. The IRSA 2MASS All-Sky Point Source Catalogue, NASA/IPAC Infrared Science Archive, Caltech, US

Dotter A., 2016, ApJS, 222, 8

Duchêne G., Kraus A., 2013, ARA&A, 51, 269

Dupret M. A., Grigahcène A., Garrido R., Gabriel M., Scuflaire R., 2005, A&A, 435, 927

Edelsbrunner H., Kirkpatrick D., Seidel R., 1983, IEEE Transactions on Information Theory, 29, 551

Fischer D. A., Marcy G. W., Spronck J. F. P., 2014, ApJS, 210, 5

Fuller J., Kurtz D. W., Handler G., Rappaport S., 2020, MNRAS, 498, 5730

Gaia Collaboration 2016, A&A, 595, A1

Gaia Collaboration 2021, A&A, 649, A1

Gamarova A. Y., Mkrtichian D. E., Rodriguez E., Costa V., Lopez-Gonzalez M. J., 2003, in Sterken C., ed., Astronomical Society of the Pacific Conference Series Vol. 292, Interplay of Periodic, Cyclic and Stochastic Variability in Selected Areas of the H-R Diagram. p. 369

Gamarova A. Y., Mkrtichian D. E., Rodríguez E., 2005, in Claret A., Giménez A., Zahn J. P., eds, Astronomical Society of the Pacific Conference Series Vol. 333, Tidal Evolution and Oscillations in Binary Stars. p. 258

Gies D. R., Williams S. J., Matson R. A., Guo Z., Thomas S. M., Orosz J. A., Peters G. J., 2012, AJ, 143, 137

Gies D. R., Matson R. A., Guo Z., Lester K. V., Orosz J. A., Peters G. J., 2015, AJ, 150, 178

Gilliland R. L., et al., 2010, PASP, 122, 131

Grassitelli L., Fossati L., Langer N., Miglio A., Istrate A. G., Sanyal D., 2015, A&A, 584, L2

Gray D. F., 2005, The Observation and Analysis of Stellar Photospheres, 3 edn. Cambridge University Press, doi:10.1017/CBO9781316036570

Grigahcène A., Dupret M. A., Gabriel M., Garrido R., Scuflaire R., 2005, A&A, 434, 1055

Grigahcène A., et al., 2010, ApJ, 713, L192

Guo Z., Li G., 2019, ApJ, 882, L5

Guo Z., Gies D. R., Matson R. A., García Hernández A., 2016, ApJ, 826, 69

Guo Z., Gies D. R., Matson R. A., 2017, ApJ, 851, 39

Guo Z., Fuller J., Shporer A., Li G., Hambleton K., Manuel J., Murphy S., Isaacson H., 2019, ApJ, 885, 46

Guzik J. A., Kaye A. B., Bradley P. A., Cox A. N., Neuforge C., 2000, ApJ, 542, L57

Hadrava P., 1995, A&AS, 114, 393

Handler G., 1999, MNRAS, 309, L19

Handler G., Shobbrook R. R., 2002, MNRAS, 333, 251

Handler G., et al., 2020, Nature Astronomy, 4, 684

Henden A. A., Levine S. E., Terrell D., Smith T. C., Welch D., 2012, Journal of the American Association of Variable Star Observers, 40, 430

Hensberge H., Pavlovski K., Verschueren W., 2000, A&A, 358, 553

Higl J., Weiss A., 2017, A&A, 608, A62

Hong K., Woo Lee J., Rittipruk P., Park J.-H., Kim H.-Y., Han C., 2022, AJ, 164, 121

Ilijic S., Hensberge H., Pavlovski K., Freyhammer L. M., 2004, in Hilditch R. W., Hensberge H., Pavlovski K., eds, Astronomical Society of the Pacific Conference Series Vol. 318, Spectroscopically and Spatially Resolving the Components of the Close Binary Stars. pp 111–113

Jayaraman R., Handler G., Rappaport S. A., Fuller J., Kurtz D. W., Charpinet S., Ricker G. R., 2022, ApJ, 928, L14

Jenkins J. M., 2017, Kepler Data Processing Handbook: Overview of the Science Operations Center, Kepler Science Document KSCI-19081-002, id. 2, Edited by Jon M. Jenkins.

Jenkins J. M., et al., 2016, in Chiozzi G., Guzman J. C., eds, Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series Vol. 9913, Software and Cyberinfrastructure for Astronomy IV. p. 99133E, doi:10.1117/12.2233418

Kaye A. B., Handler G., Krisciunas K., Poretti E., Zerbi F. M., 1999, PASP, 111, 840

Kennelly E. J., et al., 1998, ApJ, 495, 440

Kervella P., Thévenin F., Di Folco E., Ségransan D., 2004, A&A, 426, 297

Khaliullin K. F., Khaliullina A. I., 2010, MNRAS, 401, 257

Kirk B., et al., 2016, AJ, 151, 68

Koch D. G., et al., 2010, ApJ, 713, L79

Kolbas V., et al., 2015, MNRAS, 451, 4150

Kurtz D. W., Saio H., Takata M., Shibahashi H., Murphy S. J., Sekii T., 2014, MNRAS, 444, 102

Kurtz D. W., et al., 2020, MNRAS, 494, 5118

Lampens P., 2021, Galaxies, 9, 28

Lastennet E., Valls-Gabaud D., 2002, A&A, 396, 551

Latham D. W., Nordstroem B., Andersen J., Torres G., Stefanik R. P., Thaller M., Bester M. J., 1996, A&A, 314, 864

Lehmann H., et al., 2011, A&A, 526, A124

Lehmann H., Southworth J., Tkachenko A., Pavlovski K., 2013, A&A, 557, A79

Lester K. V., Gies D. R., Schaefer G. H., Farrington C. D., Monnier J. D., ten Brummelaar T., Sturmann J., Vargas N., 2019, AJ, 157, 140

Lester K. V., et al., 2022, AJ, 164, 228

Li G., Bedding T. R., Murphy S. J., Van Reeth T., Antoci V., Ouazzani R.-M., 2019, MNRAS, 482, 1757

Li G., Guo Z., Fuller J., Bedding T. R., Murphy S. J., Colman I. L., Hey D. R., 2020, MNRAS, 497, 4363

Liakos A., 2021, arXiv e-prints, p. arXiv:2102.05931

Loumos G. L., Deeming T. J., 1978, Ap&SS, 56, 285

Lovekin C. C., Guzik J. A., 2017, ApJ, 849, 38

Matson R. A., Gies D. R., Guo Z., Williams S. J., 2017, AJ, 154, 216

Miglio A., Montalbán J., Noels A., Eggenberger P., 2008, MNRAS, 386, 1487

Miszuda A., Kołaczek-Szymanski P. A., Szewczuk W., Daszy ´ nska- ´ Daszkiewicz J., 2022, MNRAS, 514, 622

Molenda-Zakowicz J., Latham D. W., Catanzaro G., Frasca A., Quinn S. N ˙ ., 2011, Monthly Notices of the Royal Astronomical Society, 412, 1210

Moravveji E., Aerts C., Pápics P. I., Triana S. A., Vandoren B., 2015, A&A, 580, A27

Murphy S. J., et al., 2013, MNRAS, 432, 2284

Murphy S. J., Hey D., Van Reeth T., Bedding T. R., 2019, MNRAS, 485, 2380

Murphy S. J., Saio H., Takada-Hidai M., Kurtz D. W., Shibahashi H., Takata M., Hey D. R., 2020, MNRAS, 498, 4272

Murphy S. J., et al., 2021, MNRAS, 505, 2336

Nelson B., Davis W. D., 1972, ApJ, 174, 617

Newville M., et al., 2019, lmfit/lmfit-py 1.0.0, Zenodo, doi:10.5281/zenodo.3588521

Niemczura E., et al., 2015, Monthly Notices of the Royal Astronomical Society, 450, 2764

Ouazzani R.-M., Salmon S. J. A. J., Antoci V., Bedding T. R., Murphy S. J., Roxburgh I. W., 2017, MNRAS, 465, 2294

Pamyatnykh A. A., 1999, Acta Astron., 49, 119

Pavlovski K., Hensberge H., 2005, A&A, 439, 309

Pavlovski K., Hensberge H., 2010, in Prša A., Zejda M., eds, Astronomical Society of the Pacific Conference Series Vol. 435, Binaries - Key to Comprehension of the Universe. p. 207 (arXiv:0909.3246), doi:10.48550/arXiv.0909.3246

Pavlovski K., Southworth J., Tamajo E., 2018, MNRAS, 481, 3129

Pavlovski K., et al., 2022, A&A, 658, A92

Pavlovski K., Southworth J., Tkachenko A., Van Reeth T., Tamajo E., 2023, A&A, 671, A139

Paxton B., Bildsten L., Dotter A., Herwig F., Lesaffre P., Timmes F., 2011, ApJS, 192, 3

Paxton B., et al., 2013, ApJS, 208, 4

Paxton B., et al., 2015, ApJS, 220, 15

Paxton B., et al., 2019, ApJS, 243, 10

Pols O. R., Tout C. A., Schroder K.-P., Eggleton P. P., Manners J., 1997, MNRAS, 289, 869

Popper D. M., Etzel P. B., 1981, AJ, 86, 102

Pourbaix D., 2000, A&AS, 145, 215

Prša A., et al., 2016, AJ, 152, 41

Prša A., et al., 2011, AJ, 141, 83

Prša A., 2018, Modeling and Analysis of Eclipsing Binary Stars. 2514-3433, IOP Publishing, doi:10.1088/978-0-7503-1287-5,

Reed M., Kawaler S. D., Kleinman S. J., 2001, in Provencal J. L., Shipman H. L., MacDonald J., Goodchild S., eds, Astronomical Society of the Pacific Conference Series Vol. 226, 12th European Workshop on White Dwarfs. p. 181

Reed M. D., Brondel B. J., Kawaler S. D., 2005, ApJ, 634, 602

Ricker G. R., et al., 2015, Journal of Astronomical Telescopes, Instruments, and Systems, 1, 014003

Rodríguez E., García J. M., Gamarova A. Y., Costa V., Daszynska- ´ Daszkiewicz J., López-González M. J., Mkrtichian D. E., Rolland A., 2004, MNRAS, 353, 310

Saio H., Kurtz D. W., Takata M., Shibahashi H., Murphy S. J., Sekii T., Bedding T. R., 2015, MNRAS, 447, 3264

Samadi Ghadim A., Lampens P., Jassur D. M., 2018, Acta Astron., 68, 425

Scargle J. D., 1982, ApJ, 263, 835

Schmid V. S., Aerts C., 2016, A&A, 592, A116

Sekaran S., et al., 2020, A&A, 643, A162

Sekaran S., Tkachenko A., Johnston C., Aerts C., 2021, A&A, 648, A91

Simon K. P., Sturm E., 1994, A&A, 281, 286

Smalley B., Smith K. C., M D. M., 2001, UCLSYN: User Guide (University College London)

Smeyers P., 2005, in Claret A., Giménez A., Zahn J. P., eds, Astronomical Society of the Pacific Conference Series Vol. 333, Tidal Evolution and Oscillations in Binary Stars. p. 39

Southworth J., 2013, A&A, 557, A119

Southworth J., 2020, The Observatory, 140, 247

Southworth J., 2021, Universe, 7, 369

Southworth J., Clausen J. V., 2007, A&A, 461, 1077

Southworth J., Maxted P. F. L., Smalley B., 2004, MNRAS, 351, 1277

Southworth J., Maxted P. F. L., Smalley B., 2005, A&A, 429, 645

Southworth J., et al., 2011, MNRAS, 414, 2413

Steindl T., Zwintz K., Bowman D. M., 2021, A&A, 645, A119

Storn R., Price K., 1997, Journal of Global Optimization, 11, 341

Streamer M., Ireland M. J., Murphy S. J., Bento J., 2018, MNRAS, 480, 1372

Tamajo E., Pavlovski K., Southworth J., 2011, A&A, 526, A76

Tassoul M., 1980, ApJS, 43, 469

Tempesti P., 1971, Information Bulletin on Variable Stars, 596, 1

Tkachenko A., 2015, A&A, 581, A129

Tkachenko A., Lehmann H., Smalley B., Uytterhoeven K., 2013, Monthly Notices of the Royal Astronomical Society, 431, 3685

Tkachenko A., et al., 2020, A&A, 637, A60

Torres G., Ribas I., 2002, ApJ, 567, 1140

Torres G., Stefanik R. P., Andersen J., Nordstrom B., Latham D. W., Clausen J. V., 1997, AJ, 114, 2764

Torres G., Andersen J., Nordström B., Latham D. W., 2000, The Astronomical Journal, 119, 1942

Torres G., Andersen J., Giménez A., 2010, A&ARv, 18, 67

Uytterhoeven K., et al., 2011, A&A, 534, A125

Van Hamme W., 1993, AJ, 106, 2096

Van Reeth T., et al., 2015, A&A, 574, A17

Van Reeth T., Tkachenko A., Aerts C., 2016, A&A, 593, A120

Van Reeth T., Southworth J., Van Beeck J., Bowman D. M., 2022, A&A, 659, A177

Van Reeth T., Johnston C., Southworth J., Fuller J., Bowman D. M., Poniatowski L., Van Beeck J., 2023, A&A, 671, A121

Virtanen P., et al., 2020, Nature Methods, 17, 261

Vogt S. S., 1987, PASP, 99, 1214

Wang L., et al., 2020, AJ, 159, 4

Wang L., Gies D. R., Peters G. J., Han Z., 2023, AJ, 165, 203

Wilson R. E., 1979, ApJ, 234, 1054

Wilson R. E., Devinney E. J., 1971, ApJ, 166, 605

Wilson R. E., Van Hamme W., 2004, Computing Binary Star Observables (Wilson-Devinney program user guide), available at

Xiong D. R., Deng L., Zhang C., Wang K., 2016, MNRAS, 457, 3163

Xu X., Cisewski-Kehe J., Davis A. B., Fischer D. A., Brewer J. M., 2019, AJ, 157, 243

Yang T.-Z., Zuo Z.-Y., Li G., Bedding T. R., Murphy S. J., Joyce M., 2021, A&A, 655, A63

Zahn J. P., 1977, A&A, 57, 383

Zucker S., Mazeh T., 1994, ApJ, 420, 806

da Silva R., Maceroni C., Gandolfi D., Lehmann H., Hatzes A. P., 2014, A&A, 565, A55

de Mink S. E., Pols O. R., Hilditch R. W., 2007, A&A, 467, 1181