Properties of Binary Systems in One-Dimensional Approximations and Applications

Abstract

This thesis aims to provide a method to include the effect of the gravitational fields of binary systems when simulating them with one-dimensional stellar evolution codes. We also apply this method to simulate the evolution of binary systems until the donor fills its Roche Lobe. The first part of this thesis is focused on describing the numerical code that was created to obtain several quantities related to binary systems. We then introduce a method that makes use of some of these obtained quantities to include the effects of a binary system’s effective acceleration if one is evolving the stars a one-dimensional scheme. We provide a code that could apply this method in one-dimensional stellar evolution codes. The latter part of the thesis is dedicated to utilizing this method to simulate binary systems up to the onset of the Roche lobe overflow. At this stage, this deviation should be most pronounced. We compare the evolutionary track produced by our method with what the standard treatment predicts. We find that the extent to which the donor stars differ at the Roche lobe overflow deviated between the techniques is sensitive to the stars’ masses and the system’s initial orbital separation. We also report an exceptional case where the final points could differ exceedingly. We finally simulate the possible progenitor of the V1309 Sco binary system and discuss the outcomes.