Close binary stars have attracted a lot of attention due to the peculiarities of their evolution. The development of these systems is associated with several paradoxes that are of particular interest to scientists. More so, it has been acknowledged that most stars are found in binary and multiple systems (Podsiadlowski 45). Therefore, it is essential to make sure that all properties of this system are properly researched as they can have a certain impact on the Earth as well. Researchers managed to examine various phenomena taking place in the universe through the close analysis of binary stellar systems. Binary stars are usually constituted by two “compact stellar remnants” (Negu and Tessema 223). These components are usually remnants of black holes, neutron stars and, the so-called, white dwarfs. At the same time, these stars can consist of two non-degenerate stars, one stellar remnant (or compact star) and one non-degenerate star, or two compact stars (Podsiadlowski 45). These two bodies move around one gravity center. Several processes affect the development of the binary stellar system. There are several ways a binary star can form. For instance, a star with a significant mass can capture another stellar body through its magnetic field. However, researchers agree that these cases are very rare (Webbink 234). In the vast majority of cases, envelopes of gas, compact stars, and dust usually split into several parts that later evolve into two stars. Interestingly, there are three bodies necessary to develop a binary system as the third body ensures the gravitation that keeps the two other components apart. As has been mentioned above the two stars circulate one orbit, and they can be at different distances. If the stars are quite far from each other, they often develop in a way all other separate stars evolve (Webbink 234). It is necessary to stress that the two components of the system have little or even no effect on each other due to the distance between them. In many cases, these stars move far from each other and leave the binary system. They start evolving as separate stars. Close binary systems have attracted the most attention of researchers as these systems are constantly developing. The two stars affect each other’s development through their gravitation fields as well as mass transfer. Mass transfer is the key process that contributes to the development of binary stars. Negu and Tessema note that this phenomenon is especially remarkable when it comes to the evolution of binary stars constituted by a degenerate star and another component (223). The mass transfer occurs due to significant gravitational and magnetic fields of the objects involved as well as the influence of such phenomena as pulsed X-ray emission, “novae outbursts” and nuclear burning (Negu and Tessema 223). It is well known that mass plays a significant role in the process of binary stars’ formation (Fragner and Nelson 1). The two stars in the system have their mass and gravitation fields that have an impact on each other. This interaction is associated with the phenomenon called Roche lobes (Negu and Tessema 223). The Roche lobe refers to the space controlled by a star by its gravitat