Magnetic effect on the evolution of an eccentric and inclined orbit

TL;DR

This paper introduces a method to analyze how magnetic effects influence the evolution of eccentric and inclined orbits, focusing on unipolar interactions and deriving equations for orbital and spin changes.

Contribution

It presents a novel framework for calculating orbital evolution under magnetic effects, including Lorentz force and energy dissipation, applicable to inclined and eccentric orbits.

Findings

Derived evolution equations for orbital parameters and spin.

Analyzed the impact of magnetic interactions on orbit stability.

Provided a general method for studying magnetic orbital evolution.

Abstract

We provide a method to calculate the evolution of an eccentric and inclined orbit under the magnetic effect. Taking the unipolar interaction as an example, we study both coplanar and inclined orbits. We calculate the Lorentz force and then the changes in orbital energy and angular momentum. Combined with the total energy dissipation we write down the evolution equations of semi-major axis, eccentricity, inclination and spin. This set of equations can be used to study the orbital and spin evolution under the magnetic interaction.