Dark Halos of M31 and the Milky Way -- Their Dynamical Similarity – Yoshiaki Sofue (U. Tokyo) 2015 03 24 @ MW2015, U.Tokyo.

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Dark Halos of M31 and the Milky Way -- Their Dynamical Similarity – Yoshiaki Sofue (U. Tokyo) 2015 03 24 @ MW2015, U.Tokyo

1. Introduction

Progress in RC 1950’s to 2015 MW Kwee (1954) ~ VERA vs M31 Takase (1957) ~

今までの Rotation Curve Sofue, Honma, Omodaka 2007

これからのLog Grand RC

Log Scaling 銀河中心

R>30 kpc Globular clusters and satellite galaxies Define: Vrot =Vvirial≒ √2 VGC Vrot =Vvirial≒ √3 VGC

2. Log. Grand Rotation Curve

Milky Way

(8 kpc, 238 km/s)

GRC (8 kpc, 238 km/s)

M31

M31

Grand Rotation Curve

Grand Rotation Curve

3. Deconvolution into Bulge,Disk, & Dark Halo

(1) Bulge de Vaucouleurs:

(2) Disk: Exponential

Navarro-Frenk-White (1996) Density Profile (3) Dark Halo Navarro-Frenk-White (1996) Density Profile

MW GRC Decomposition

Two-Expo. Bulge Decomposition

Chi-Square Fitting

SMD : Obs vs Model

Ｍ３１　Ｆｉｔｔｉｎｇ

Ｃｈｉ　ｓｑｕａｒｅ　ｍａｐ

5. Dark Halo Similarity in MW and M31

Log RC: MW / M31 Dark Halos

Universal Dark Halo RC Isothermal NFW Kepler

DH Mass: M31 vｓ MW M31 MW

Best Fit Parameters

Conclusion and Implication 1. GRC MW similar to M31. 2 Conclusion and Implication 1. GRC MW similar to M31. 2. NFW is a good model. (vs Isothermal, Plummer) 3. Assume NFW universal. 4. Determine DH in ~100 galaxies. 5. Statistics: Baryonic Bulge, Disk, vs Dark Halo.

For references, visit http://www.ioa.s.u-tokyo.ac.jp/ ~sofue/h-rot.htm

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