Elliptical motions of stars in close binary systems

TL;DR

This paper critiques the widely used Paczynski-Huang model for binary star motion, introduces a new elliptical orbit model considering reactive and attractive forces, and discusses mass exchange with accretion disks.

Contribution

It presents a new model for star motions in close binary systems that accounts for forces and elliptical orbits, improving upon previous models.

Findings

Paczynski-Huang model is inaccurate for semi-major axis variation.

New model incorporates reactive and attractive forces.

Mass exchange can occur with accretion disks.

Abstract

Motions of stars in close binary systems with a conservative mass exchange are examined. It is shown that Paczynski-Huang model widely used now for obtaining the semi-major axis variation of a relative stars orbit is incorrect, because it brings about large mistakes. A new model suitable for elliptical orbits of stars is proposed. Both of reactive and attractive forces between stars and a substance of the flowing jet are taken into account. A possibility of a mass exchange at presence of accretion disk is considered