Theoretical Model of Non-Conservative Mass Transfer with Uniform Mass Accretion Rate in Contact Binary Stars

TL;DR

This paper develops a new theoretical model for non-conservative mass transfer with uniform accretion in contact binary stars, considering reverse mass transfer and circulation effects in systems with low angular momentum.

Contribution

It introduces a mathematical framework accounting for reverse mass transfer and circulations in contact binaries with lower angular momentum, enhancing understanding of mass and angular momentum loss.

Findings

Model incorporates reverse mass transfer effects.

Highlights circulations caused by overflow of equipotential surfaces.

Provides insights into mass transfer dynamics in low angular momentum binaries.

Abstract

In contact binaries mass transfer is usually non-conservative which ends into loss of mass as well as angular momentum in the system. In the present work we have presented a new mathematical model of the non-conservative mass transfer with a uniform mass accretion rate in a contact binary system with lower angular momentum. The model has been developed under the consideration of reverse mass transfer which may occur simultaneously with the original mass transfer as a result of the large scale circulations encircling the entire donor and a significant portion of the gainer. These circulations in contact binaries with lower angular momentum are caused by the overflow of the critical equipotential surface by both the components of the binary system making the governing system more intricate and uncertain.