Multifractal characterization as a function of timescale in the light curves with planetary signal observed by the Kepler mission
Caracterização multifractal como uma função da escala de tempo em curvas de luz com sinal planetário observada pela missão Kepler
DOI:
https://doi.org/10.34117/bjdv8n10-193Keywords:
stellar variability, Kepler mission (NASA), Kepler-30, multifractal analysisAbstract
We investigate the evolution of five multifractal indicators of the Kepler Mission light curves of the moderately young Sun-like Kepler-30 star accompanied by a three-planet system. We focus not only on the fact that the rotational modulation has multifractality properties but also on some studies on these properties based on scale. Then, we systematically investigate the dynamic behaviors of the small and large fluctuations in two types of light curves (PDC and SAP). Those fluctuations indicate that the properties of stellar noise and rotation modulation are highlighted when we apply the Multifractal Detrended Moving Average (MFDMA) algorithm. Our results also demonstrated that the multifractality of the light curve is due to both long-range correlation and broad probability density function, but the main source of multifractality is the long-range correlation. This new approach can be used to develop theoretical and computational models for various stellar magnetic activity-related phenomena and their interactions with the planets, and it can greatly simplify spot modeling from current TESS and future PLATO data.
References
Basri et al., 2011, ApJ, 141, 20
Basri, G., Walkowicz, L. M., & Reiners, A. 2013, ApJ, 769, 37
Batalha, N. M., Borucki, W. J., Koch, D. G., et al. 2010, ApJL,
, L109
Belete, A. B., Bravo J. P., Canto Martins B. L., Leão I. C., De Araújo J. M., & De Medeiros J. R., 2018, MNRAS, 478, 3976
Borucki, W., Koch, D., Batalha, N., et al. 2009, IAU Symposium, 253, 289
Borucki W. J. et al., 2010, Science, 327, 977
de Franciscis, S., Pascual-Granado, J., Suarez, J. C., et al. 2019, MNRAS, 487,4457
de Freitas, D. B., & De Medeiros, J. R. 2009, Europhys. Lett, 88, 19001
de Freitas, D. B., Leão, I. C., Lopes, C. E. F., De Medeiros, J. R., et al. 2013, ApJL, 773, L18
de Freitas, D. B., Nepomuceno, M. M. F., de Moraes Junior, P. R. V., Lopes, C. E. F., Leão, I. C. et al. 2016, ApJ, 831, 87
de Freitas, D. B., Nepomuceno, M. M. F., de Moraes Junior, P. R. V., Lopes, C. E. F., Leão, I. C. et al. 2017, ApJ, 843, 103
de Freitas, D. B., Nepomuceno, M. M. F., Alves Rios, L. D., Das Chagas, M. L. & De Medeiros, J. R., 2019a, ApJ, 880, 151
de Freitas, D. B., Nepomuceno, M. M. F., Cordeiro, J. G., Das Chagas, M. L. & De Medeiros, J. R., 2019b, MNRAS, 488, 3274
de Freitas, D. B., Lanza, A. F., Silva Gomes, F. O. & Das Chagas, M. L., 2021, A&A, 650, 40
Fabrycky, D. C., Ford, E. B., Steffen, J. H., et al. 2012, ApJ, 750, 114
Gilliland, R. L., Chaplin, W. J., Jenkins, J. M., Ramsey, L. W., & Smith, J. C. 2015, AJ, 150, 133
Gu, G.-F., & Zhou, W.-X. 2010, Phys. Rev. E, 82, 011136
Hampson, K. M., & Mallen, E. A. H. 2011, Biomedical Optics Express, 2, 464
Hurst, H. E. 1951, Trans. Am. Soc. Civ. Eng., 116, 770
Ihlen, E. A. F. 2012, Front. Physiology 3, 141
Jenkins et al., 2010a, ApJL, 713, L87
Jenkins, J. M., Caldwell, D. A., Chandrasekaran, H., et al. 2010b, ApJL, 713, L120
Kawaler S. D., 1988, ApJ, 333, 236
Koch, D. G., Borucki, W. J., Basri, G., et al. 2010, ApJL, 713, L79
Kraft R. P., 1967, ApJ, 150, 551
Krzyszczak, J.; Baranowski, P.; Zubik, M.; Kazandjiev, V.; Georgieva, V.; Sawinski, C.; Siwek, K.; Kozyra, J.; Nieróbca, A., 2018, Theor. Appl. Climatol., 137, 1811
Lanza, A. F.; Das Chagas, M. L., & De Medeiros, J.R. 2014, A&A, 564, A50
Lanza, A. F., Netto, Y., Bonomo, A. S., et al. 2019, A&A, 626, A38
Makowiec D., & Fuliaski, A. 2010, Acta Phys Pol B, 41, 1025
Maxted, P. F. L. 2016, A&A, 591, A111
Norouzzadeha, P., Dullaertc, W., & Rahmani, B. 2007, Physica A, 380, 333
Panichi, F., Gozdziewski, K., Migaszewski, C., Szuszkiewicz, E., 2018, MNRAS, 478, 2480
Sanchis-Ojeda, R., Fabrycky, D. C., Winn, J. N., et al. 2012, Nature, 487, 449
Skumanich A., 1972, ApJ, 171, 565
Tanna, H.J., Pathak, K.N., 2014, Astrophys. Space Sci., 350, 47
Thompson, S. E., Christiansen, J. L., Jenkins, J. M., et al. 2013, Kepler Data Release 23 Notes (KSCI-19063-001)
Van Cleve, J. E. & Caldwell, D. A. 2009, Kepler Instrument Handbook, KSCI-19033
Van Cleve, J. E., Jenkins, J. M., Caldwell, D. A., et al. 2010, Kepler Data Release 5 Notes, KSCI-19045-001
Walkowicz L. M., & Basri G. S., 2013, MNRAS, 436, 1883
Wang, J., Shang, P., and Cui, X., Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 2014, 89, 032916
