# On the Darwin instability effect in binary systems

## TL;DR

This paper investigates the Darwin instability in various binary systems using a Regge-like law model, providing new analytical formulas for orbital characteristics.

## Contribution

It introduces novel analytical formulas for binary system parameters based on a Regge-like law model, enhancing understanding of Darwin instability effects.

## Key findings

- Derived new formulas for relative distance and orbital period
- Applied model to different binary systems including planets and stars
- Provided insights into the stability conditions of binary systems

## Abstract

The Darwin instability effect in the binary systems (planets, stars, and galaxies) is analyzed within the model based on the Regge-like laws. New analytical formulas are presented for the relative distance between components of the binary and orbital rotation period of the binary.