# Displacement of the Sun from the Galactic Plane

## TL;DR

This study estimates the Sun's displacement from the Galactic plane using statistical analysis of young open clusters and OB stars, revealing a displacement of approximately 6-20 parsecs and providing scale heights for their distributions.

## Contribution

It introduces a comparative statistical approach to measure the Sun's vertical displacement using two different stellar samples and examines the effects of distance cut-offs.

## Key findings

- Sun's displacement varies between 6-20 pc depending on the sample.
- Significant scatter observed in OB star measurements due to cut-off variations.
- Estimated scale heights are approximately 57 and 61 pc for YOCs and OB stars.

## Abstract

We have carried out a comparative statistical study for the displacement of the Sun from the Galactic plane (z_\odot) following three different methods. The study has been done using a sample of 537 young open clusters (YOCs) with log(Age) < 8.5 lying within a heliocentric distance of 4 kpc and 2030 OB stars observed up to a distance of 1200 pc, all of them have distance information. We decompose the Gould Belt's member in a statistical sense before investigating the variation in the z_\odot estimation with different upper cut-off limits in the heliocentric distance and distance perpendicular to the Galactic plane. We found z_\odot varies in a range of ~ 13 - 20 pc from the analys is of YOCs and ~ 6 - 18 pc from the OB stars. A significant scatter in the z_\odot obtained due to different cut-off values is noticed for the OB stars although no such deviation is seen for the YOCs. We also determined scale heights of 56.9(+3.8)(-3.4} and 61.4(+2.7)(-2.4) pc for the distribution of YOCs and OB stars respectively.