EJONS International Journal on Mathematic, Engineering and Natural Sciences , cilt.6, sa.21, ss.53-67, 2022 (Hakemli Dergi)
Although eclipsing binary star system TX Ari was observed by several observational missions,
there has been no detailed photometric study on the system so far. Using the All-Sky Automated
Survey for Supernovae (ASAS-SN) observations of TX Ari, which were made in the V filter, the
light curve solution of the system is presented for the first time in this study. As a result of the
solution, it was concluded that the system is a semi-detached eclipsing binary star system. The mass
and radius values of the primary and secondary components forming the system were estimated as
𝑀1 = 1.85 ± 0.19 Mʘ, 𝑅1 = 2.73 ± 0.19 Rʘ and 𝑀2 = 0.44 ± 0.15 Mʘ, 𝑅2 = 3.07 ± 0.47Rʘ,
respectively. Using observations of TX Ari system given in the literature, 11 new minima times of
the system were calculated. Orbital period analysis is also presented for the first time in this study,
using all the minima times calculated in this study together with the minima times of the system
published in the literature. O-C method was used in the orbital period analysis. As a result of the
period analysis, it was determined that the orbital period of the system increased continuously with a rate of 0.066 ± 0.013 s/year. This increase in the orbital period is explained by the nonconservative mass transfer mechanism from the secondary component to the primary component. In
addition, a cyclical change with a period of 17.4±1.3 years was detected in the O-C diagram of the
system. Assuming that the cyclical change is caused by a third body, which is physically bound to
the system, the mass function of the third body is calculated as 𝑓(𝑀3) = 0.01249 ± 0.00028 Mʘ.