Analysis of the variability in the sdB star KIC 10670103: DFA approach

The brightness variation of the stars is an object of study in astronomy and astrophysics for representing the rich inherent source of physical information. Launched in 2009, the Kepler spacecraft with the primary mission of identifying equivalent to the Earth by the Sun transits also gave birth to thousands of light curves of targets of scientific interest. KIC 10670103, the richest pulsating sub-dwarf B (sdB) star, is one of the many stars identified by the mission. With 3.72 yr of Kepler spacecraft observations, we analysed in this paper the light curve of this sdB star, by the detrended fluctuation analysis (DFA) method. The behaviour of this pulsating star reveals self-affinity at specific time-scales, with changes in DFA exponent, alpha DFA. This fact suggests some light variability in KIC 10670103, as for example, from a non-periodic to a periodic case, among others. Therefore, we propose to connect the pulsation pattern of the KIC 10670103 star, which presents trends and non-stationarity, with the aDFA exponent. In this sense, we obtain five values of aDFA related to the light variability properties of KIC 10670103. A pictorial figure will describe the relationship between these variables.