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Studies on the halo rotation In the LAMOST-Gaia era

Hao @ NAOC Collaborators: Chao , , -Xiang and Yougang Why

• Rotation of the halo

• formation——hierarchical merging satellites

• AM transferred from the satellites to the halo

Bonaca et al. 2012 Why

• Rotation of the halo

• formation——hierarchical merging satellites

• AM transferred from the satellites to the halo

• Interaction between different components in the Milky Way Bonaca et al. 2012

• AM transferred from the bar/disk to the halo (Athanassoula’s work) Why now

• Large sample & accurate measurements of the velocity parameters

• LAMOST has released more than 9 million spectra data

• Provides the radial velocity and metallicity

• Gaia DR2 contains accurate proper motions (1.2 billion) and radial velocities (G<14) Data

• K giant stars selected from LAMOST DR5 (Liu et al 2014)

• Remove stars with metallicity [Fe/H]>-1

• Cross-matching with Gaia DR2 to obtain proper motion Method

• Bayesian method with a model including multi-components

• Halo, thick disk, possible another halo component

• Gaussian distribution for rotational velocity

• Errors are involved Rotation in the local volume

• [Fe/H] from LAMOST DR5

• RV, proper motion and distance from Gaia DR2

• Distance from Bailor-Jones et al. (2018)

• 3827 K giant stars left after the selection

• D<4 kpc and Derr/D<20%

• [Fe/H]<-1

• Median pm err <0.07 & median RVerr 1km/s Rotation in the local volume

• Model with three components

Halo Disk halo* Rotation in the local volume

• Model with three components

Halo Disk halo* Rotation in the local volume

• Model with three components

Halo Disk halo*

Helmi et al. 2018 Rotation variance

• PM from Gaia DR2

• [Fe/H], RV and distance from LAMOST

• Distance calculated by Carlin et al. 2015

• corrected by dividing 0.805, using the common stars within 3 kpc

• RV corrected by +5.38 Rotation variance

• [Fe/H], RV and distance from LAMOST

Liu et al. 2014 Rotation variance

• Space distribution

• S-sample

• 6

• SO-Sample

• 12

• Multi-components model for Bayesian method Rotation variance

S-sample

SO-sample Rotation variance

S-sample

SO-sample Rotation variance

S-sample

SO-sample Rotation variance

S-sample

SO-sample Rotation variance

Decreasing trend Flat S-sample

Increasing

Decreasing trend

SO-sample Rotation variance

S-sample

Decreasing, then flat Flat Flare disk SO-sample

Increasing Decreasing trend Rotational variance

S-sample SO-sample Comparison

• TNG simulation

• 481503———1:0.997:0.213 • 488174———1:0.988:0.312 • 516256———1:0.988:0.432 • 565997———1:0.995:0.325 • 542310———1:0.985:0.751 • 566857———1:0.982:0.749 • 575585———1:0.985:0.781 • 585204———1:0.985:0.808 star DM Comparison

• TNG simulation

• 481503———1:0.997:0.213 • 488174———1:0.988:0.312 • 516256———1:0.988:0.432 • 565997———1:0.995:0.325 • 542310———1:0.985:0.751 • 566857———1:0.982:0.749 • 575585———1:0.985:0.781 • 585204———1:0.985:0.808

star DM Rotation variance

• The decreasing trend indicates oblate halo profile

• Observational evidence for the interaction between the halo and the disk

• We do not find significant component of Gaia-Enceladus in the outer volumes

• Large distance uncertainties make it more diffused

is not large enough (Mackereth & Bovy 2019, 1910.03590) Summary

• We have accurately constrained the rotation velocity in the local volume

• We have studied the variance of the rotation of the halo

• flare of the disk

• Rotation variance of the halo indicates an oblate halo profile

• Observational evidence for the interaction between the halo and disk

• No significant Gaia-Enceladus component found in the outer volume Thanks!