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Third-Epoch Magellanic Cloud Proper Motions II: The Large Magellanic Cloud Rotation Field in Three Dimensions

Published 20 May 2013 in astro-ph.CO | (1305.4641v1)

Abstract: We present the first detailed assessment of the large-scale rotation of any galaxy based on full three-dimensional velocity measurements. We do this for the LMC by combining our HST average proper motion (PM) measurements for stars in 22 fields, with existing line-of-sight (LOS) velocity measurements for 6790 individual stars. We interpret these data with a model of circular rotation in a flat disk. The PM and LOS data paint a consistent picture of the LMC rotation and their combination yields several new insights. The PM data imply a stellar dynamical center that coincides with the HI dynamical center, and a rotation curve amplitude consistent with that inferred from LOS velocity studies. The implied disk viewing angles agree with the range of values found in the literature, but continue to indicate variations with stellar population and/or radius. Young (RSG) stars rotate faster than old (RGB/AGB) stars due to asymmetric drift. Outside the central region, the circular velocity is approximately flat at Vcirc = 91.7 +/- 18.8 km/s. This is consistent with the baryonic Tully-Fisher relation, and implies an enclosed mass M(8.7 kpc) = (1.7 +/- 0.7) x 1010 solar masses. The virial mass is larger and depends on the full extent of the dark halo. The tidal radius is 22.3 +/- 5.2 kpc (24.0 +/- 5.6 degrees). Combination of the PM and LOS data yields kinematic distance estimates for the LMC, but these are not yet competitive with other methods.

Citations (165)

Summary

An Analysis of the Large Magellanic Cloud’s 3D Rotation Field

The paper "Third Epoch Magellanic Cloud Proper Motions II: The Large Magellanic Cloud Rotation Field in Three Dimensions" by Roeland P. van der Marel and Nitya Kallivayalil presents a comprehensive study of the kinematics of the Large Magellanic Cloud (LMC) utilizing both proper motion (PM) data and line-of-sight (LOS) velocity data. This study marks an advancement in the ability to study the large-scale rotation of a galaxy through a combination of three-dimensional velocity measurements.

Key Findings and Methodology

The authors present a detailed assessment of the LMC’s rotation field, made possible by leveraging Hubble Space Telescope (HST) PM measurements from 22 fields and LOS velocity data for 6790 stars. The combination of PM and LOS data provides novel insights into the LMC's kinematics, revealing essential features of its structure and dynamics:

  • Rotation Field Consistency: The study combines PM and LOS data to model circular rotation in a flat disk, creating a consistent representation of the LMC's rotation field. The consistency of PM and LOS data resolves previous discrepancies in understanding the LMC's rotational dynamics.

  • Differential Rotation of Stellar Populations: The analysis highlights the differential rotation speeds between young red supergiant stars and older red and asymptotic giant branch stars, attributing this difference to asymmetric drift.

  • LMC Rotation Curve: The results show a relatively flat rotation curve outside the central region, maintained outwards to the most distant data. The calculated circular velocity is ( V_{\text{circ}} = 91.7 \pm 18.8 \, \text{km s}{-1} ), aligning well with the expectations from the baryonic Tully-Fisher relation.

  • Mass and Tidal Considerations: The research estimates an enclosed mass of ( M(8.7 \, \text{kpc}) = (1.7 \pm 0.7) \times 10{10} M_{\odot} ). Considering a flat rotation curve, the study infers a larger tidal radius for the LMC, suggesting a considerable extent consistent with photometric studies.

Implications and Further Directions

This research has significant implications for understanding the structure and kinematics not only of the LMC but also of galaxies in general:

  • Galactic Dynamics and Interactions: With its detailed analysis of the LMC, the paper advances the understanding of galactic dynamics in barred irregular galaxies, emphasizing the impact of past interactions with the Small Magellanic Cloud on the LMC’s structure.

  • Galactic Distance Measurement Techniques: The paper discusses methods for estimating the distance to the LMC based on its kinematic properties. While current methods do not surpass conventional distance measurement techniques, they provide a foundation for refining kinematically-derived distances as observational technology advances.

  • Benchmarks for Future Studies: The LMC serves as an essential case study for the methodologies in galactic kinematics and provides a benchmark for future studies involving precise measurements of internal galactic motions.

Conclusion

Overall, this study delivers a multifaceted view of the LMC’s dynamical state by integrating PM and LOS velocity data, elucidating the complexities within stellar populations, and providing a more cohesive understanding of the galaxy's large-scale rotation. It lays the groundwork for future explorations into the dynamics of the Magellanic Clouds and other nearby galaxies. These insights also highlight the need for further refinement of measurement techniques and theoretical models to enhance our comprehension of galactic dynamics.

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