Nonlinear Dynamics, Lorenz Model and Formation of Binary Stars

TL;DR

This paper uses the Lorenz nonlinear model derived from nebula hydrodynamics to explain the formation of binary stars, emphasizing the importance of nonlinear interactions in stellar system development.

Contribution

It introduces a novel application of the Lorenz model to binary star formation, linking nonlinear dynamics with astrophysical phenomena.

Findings

Lorenz model's two wings represent binary stars

Nonlinear interactions are essential for binary star formation

Linear equations only produce single stars

Abstract

Based on the Lorenz model derived from the equations of hydrodynamics of nebula, we discuss the formation of binary stars by the qualitative analysis theory of nonlinear equation. Here the two wings in the Lorenz model form just the binary stars, whose Roche surface is result of evolution under certain condition. The nonlinear interaction plays a crucial role, and is necessary condition of the formation of binary stars and of multiple stars. While the linear equations form only a single star. Moreover, the Lorenz model may be obtained from synergetics yet, and some dynamical equations of the order parameter can also form the binary star system.