A study of the binary systems rotation and their relationship with stellar and orbital parameters
Rotation, Binary Systems, Light Curves, Tidal Efects, Sinchronization, Circularization
Stellar rotation is an important parameter to be considered in the study of stellar evolution and structure, as
it relates to several equally relevant parameters such as mass and temperature and influences the chemical composition of the
star. In binary systems the study of rotation allows us to understand the tidal effects that a system can suffer and the process
that makes the system achieve synchronization and circularization. To understand how rotation behaves and relates to other
stellar parameters in binary systems, we use a method of analyzing light curves and measuring the rotation period. We apply
this method to light curves of the CoRoT and TESS space missions in stars belonging to eclipsing and spectroscopic binary
systems. In addition, we analyzed the relationships between other parameters such as orbital period and eccentricity, projected
rotational velocity and effective temperature, among others. We finished this study with correlation diagrams to have an
overview between the different groups of binaries. We obtained excellent results in determining the rotation period for 70
eclipsing binary systems, 26 spectroscopic binary systems and 15 systems belonging to the Taurus-Auriga region. We reaffirm
the values of the eccentricities for 18 eclipsing binary systems and found 38 synchronized systems of which 12 are
synchronized and circularized. For the spectroscopic systems, we found that for the stars of the main sequence, the shorter the
orbital period, the greater the probability of the system being synchronized, however, it is possible to find red giants of long
period synchronized. We also found that the correlations between rotation, orbital parameters, mass and temperature change
according to the different types of binary systems.