# A method to analyse velocity structure

## TL;DR

This paper introduces a versatile new method for analyzing velocity structures in star-forming regions, capable of handling multi-dimensional data without prior knowledge of the region's size or density, and robust against observational uncertainties.

## Contribution

The paper presents a novel, adaptable analysis technique for velocity structures that works across various data dimensions and conditions, improving upon existing methods.

## Key findings

- Method is robust with realistic observational uncertainties.
- Applicable to regions with any underlying density and velocity structure.
- Enables direct comparison of velocity structures across different regions.

## Abstract

We present a new method of analysing and quantifying velocity structure in star forming regions suitable for the rapidly increasing quantity and quality of stellar position-velocity data. The method can be applied to data in any number of dimensions, does not require the centre or characteristic size (e.g. radius) of the region to be determined, and can be applied to regions with any underlying density and velocity structure. We test the method on a variety of example datasets and show it is robust with realistic observational uncertainties and selection effects. This method identifies velocity structures/scales in a region, and allows a direct comparison to be made between regions.