# Analytical solution for magnetized thin accretion disk in comparison with numerical simulations

## TL;DR

This paper derives analytical equations for a magnetized thin accretion disk using asymptotic approximation and compares these with numerical simulation results to understand disk behavior.

## Contribution

It introduces an analytical approach to modeling magnetized thin accretion disks and compares it with numerical simulations for validation.

## Key findings

- Analytical equations for magnetized thin accretion disks are derived.
- Comparison shows consistency between analytical results and numerical simulations.
- Provides insights into star-disk magnetospheric interactions.

## Abstract

We obtained equations for a thin magnetic accretion disk, using the method of asymptotic approximation. They cannot be solved analytically-without solutions for a magnetic field in the magnetosphere between the star and the disk, only a set of general conditions on the solutions can be derived. To compare the analytical results with numerical solutions, we find expressions for physical quantities in the disk, using our results from resistive and viscous star-disk magnetospheric interaction simulations.