G-virial: Gravity-based structure analysis of molecular clouds
Guang-Xing Li, Friedrich Wyrowski, Karl Menten, Tom Megeath, Xun Shi

TL;DR
The G-virial method quantifies the role of gravity in molecular clouds using 3D PPV data, enabling detailed analysis of gravitational structures and their properties, with applications to Perseus and Ophiuchus clouds.
Contribution
It introduces a novel gravity-based analysis method that accounts for interactions between all voxels in PPV data, providing a comprehensive view of gravitational importance in molecular clouds.
Findings
Gravity importance increases towards molecular condensations' centers.
Regions analyzed are nearly gravitationally bound.
Cluster-forming regions are more centrally condensed.
Abstract
We present the G-virial method (available at http://gxli.github.io/G-virial/) which aims to quantify (1) the importance of gravity in molecular clouds in the position-position-velocity (PPV) space, and (2) properties of the gas condensations in molecular clouds. Different from previous approaches that calculate the virial parameter for different regions, our new method takes gravitational interactions between all the voxels in 3D PPV data cubes into account, and generates maps of the importance of gravity. This map can be combined with the original data cube to derive relations such as the mass-radius relation. Our method is important for several reasons. First, it offers the the ability to quantify the centrally condensed structures in the 3D PPV data cubes, and enables us to compare them in an uniform framework. Second, it allows us to understand the importance of gravity at different…
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