# Ohmic heating of asteroids around magnetic stars

## TL;DR

This paper investigates how electromagnetic induction and Ohmic heating affect asteroids orbiting magnetic stars, potentially causing interior melting, volcanic activity, and orbital decay, with implications for observed stellar phenomena.

## Contribution

It provides a quantitative analysis of Ohmic heating effects on asteroids around magnetic stars and discusses astrophysical scenarios leading to observable consequences.

## Key findings

- Magnetic fields can cause orbital decay of asteroids within Myr timescales.
- Ohmic heating can raise asteroid temperatures above melting points.
- Surface volcanic activity may obscure stars and pollute white dwarf atmospheres.

## Abstract

We consider the impact of electromagnetic induction and Ohmic heating on a conducting planetary object that orbits a magnetic star. Power dissipated as heat saps orbital energy. If this heat is trapped by an insulating crust or mantle, interior temperatures increase substantially. We provide a quantitative description of this behavior and discuss the astrophysical scenarios in which it might occur. Magnetic fields around some main-sequence stars and white dwarfs are strong enough to cause the decay of close-in orbits of asteroids and dwarf planets, drawing them through the Roche limit on Myr time scales. We confirm that Ohmic heating around neutron stars is driven by the rotation of the stellar magnetic dipole, not orbital dynamics. In any case, heating can raise interior temperatures of asteroids or dwarf planets on close-in orbits to well above liquidus. Hot material escaping to the surface may lead to volcanic ejections that can obscure the host star (as in the light curve of KIC 8462852) and pollute its atmosphere (as observed with metal-rich white dwarfs). We speculate that mixing of a volatile-rich mantle or crust with material from an induction-heated core may lead to an explosion that could destroy the asteroid prior to tidal break-up.