Dark Halos Dark Halos Dark Halos of Dark Halos of of of M31 and - PowerPoint PPT Presentation

Dark Halos Dark Halos Dark Halos of Dark Halos of of of M31 and the Milky Way M31 and the Milky Way 3 a d t e 3 a d t e y Way y Way -- -- Their Dynamical Similarity Their Dynamical Similarity – – Yoshiaki Yoshiaki Sofue Sofue (U. Tokyo) (U. Tokyo) 2015 03 24 @ MW2015, 2015 03 24 @ MW2015, U.Tokyo U.Tokyo

1 1 Introduction 1. 1. Introduction Introduction Introduction

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

今までの 今までの Rotation Curve Rotation Curve Sofue Sofue Honma Sofue Sofue, , Honma Honma Omodaka Honma, , Omodaka Omodaka 2007 Omodaka 2007 2007 2007

これからの Log Grand RC Log Grand RC これからの

Log Log Log Log Scaling Scaling 銀河中心 銀河中心

R>30 R>30 kpc kpc p Globular clusters and satellite galaxies Globular clusters and satellite galaxies Define: Define: V rot V = V virial V virial ≒ √ 2 V GC ≒ √ 2 V rot = GC virial ≒ √ 3 V GC √ 3 V rot = V virial rot = GC

2 2 Log Grand 2. 2. Log. Grand Log Grand Log. Grand Rotation Curve Rotation Curve Rotation Curve Rotation Curve

Milky Milky Way Milky Milky Way Way Way

(8 (8 kpc kpc, 238 km/s) , 238 km/s)

GRC GRC (8 (8 kpc kpc, 238 km/s) , 238 km/s)

M31 M31 M31 M31

M31 M31

Grand Grand Rotation Curve Rotation Curve

Grand Grand Rotation Curve Rotation Curve

3. 3. Deconvolution Deconvolution l into into Bulge,Disk into Bulge Disk into Bulge Disk Bulge,Disk, , & D & D & Dark Halo & Dark Halo k H l k H l

(1) Bulge (1) Bulge de de Vaucouleurs Vaucouleurs: :

(2) Di k (2) Di k (2) Disk: (2) Disk: Exponential Exponential Exponential Exponential

(3) Dark Halo (3) Dark Halo Navarro Navarro- -Frenk Frenk- -White (1996) White (1996) D Density Profile Density Profile D i i P P fil fil

MW MW GRC Decomposition GRC Decomposition

Two Two- -Expo. Bulge Decomposition Expo. Bulge Decomposition

Chi Chi- -Square Fitting Square Fitting

SMD : SMD : Obs Obs vs vs Model Model

Ｍ３１ Ｍ３１ Ｆｉｔｔｉｎｇ Ｆｉｔｔｉｎｇ

Ｃｈｉ Ｃｈｉ ｓｑｕａｒｅ ｓｑｕａｒｅ ｍａｐ ｍａｐ

5. Dark Halo 5. Dark Halo k k l l Similarity Similarity Similarity Similarity i MW in MW and M31 n MW and M31 MW d M31 d M31

Log RC: Log RC: MW / M31 Dark Halos MW / M31 Dark Halos

Universal Dark Halo RC Universal Dark Halo RC Isotherma Isotherma NFW NFW K K Kepler Kepler l l

DH Mass: M31 v DH Mass: M31 v ｓ MW MW M31 M31 MW MW

Best Fit Parameters Best Fit Parameters

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

For references, visit For references, visit For references, visit For references, visit h h http://www.ioa.s.u http://www.ioa.s.u- // // i i -tokyo.ac.jp/ tokyo.ac.jp/ k k j / j / ~sofue/h ~sofue/h- so ue so ue -rot.htm rot.htm ot. t ot. t