# Motion of Spinning Particles around Black Holes

## TL;DR

This paper introduces an open-source computational tool for simulating and visualizing the trajectories of spinning particles around black holes, applicable to various spacetime backgrounds.

## Contribution

The work provides a modular, open-source code for integrating and visualizing spinning particle motion in spherically symmetric spacetimes, adaptable beyond Schwarzschild.

## Key findings

- The code accurately simulates spinning particle trajectories.
- It is adaptable to different spacetime metrics.
- Provides visual insights into complex particle dynamics.

## Abstract

The motion of spinning particles around compact objects, for example a rotating stellar object moving around a supermassive black hole, is described by differential equations that are, in general, non-integrable. In this work, we present a computational code that integrates the equations of motion of a spinning particle moving in the equatorial plane of a spherically symmetric spacetime and gives a visual representation of its trajectory. This code is open source, freely available and modular, so that users may extend its application not only to the Schwarzschild metric, but also to other backgrounds.