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

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

Dec 23, 2022 271 likes •601 views

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

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Dark Halos Dark Halos of

  • f

Dark Halos Dark Halos of

  • f

M31 and the Milky Way M31 and the Milky Way 3 a d t e y Way 3 a d t e 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

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1 1 Introduction Introduction 1.

  • 1. Introduction

Introduction

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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) ~ ~

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今までの 今までの Rotation Curve Rotation Curve

Sofue Sofue Honma Honma Omodaka Omodaka 2007 2007 Sofue Sofue, , Honma Honma, , Omodaka Omodaka 2007 2007

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これからの これからのLog Grand RC Log Grand RC

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Log Log Log Log Scaling Scaling

銀河中心 銀河中心

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R>30 R>30 kpc kpc p

Globular clusters and satellite galaxies Globular clusters and satellite galaxies

Define: Define:

V V

≒ √2 V

Vrot

rot = =Vvirial

virial≒ √2 VGC

GC

√3

Vrot

rot = =Vvirial

virial≒ √3 VGC

GC

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2 2 Log Grand Log Grand 2.

  • 2. Log. Grand
  • Log. Grand

Rotation Curve Rotation Curve Rotation Curve Rotation Curve

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Milky Milky Way Way Milky Milky Way Way

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

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GRC GRC (8

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

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M31 M31 M31 M31

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M31 M31

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Grand Grand Rotation Curve

Rotation Curve

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Grand Grand Rotation Curve

Rotation Curve

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l 3.

  • 3. Deconvolution

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

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

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

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(3) Dark Halo (3) Dark Halo Navarro Navarro-

  • Frenk

Frenk-

  • White (1996)

White (1996) D i P fil D i P fil Density Profile Density Profile

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MW MW GRC Decomposition GRC Decomposition

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Two Two-

  • Expo. Bulge Decomposition
  • Expo. Bulge Decomposition
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Chi Chi-

  • Square Fitting

Square Fitting

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SMD : SMD : Obs Obs vs vs Model Model

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Ｍ３１ Ｍ３１ Ｆｉｔｔｉｎｇ Ｆｉｔｔｉｎｇ

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Ｃｈｉ Ｃｈｉ ｓｑｕａｒｅ ｓｑｕａｒｅ ｍａｐ ｍａｐ

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k l k l

  • 5. Dark Halo
  • 5. Dark Halo

Similarity Similarity Similarity Similarity i MW d M31 MW d M31 in MW and M31 n MW and M31

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

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

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DH Mass: M31 v DH Mass: M31 vｓ MW MW

M31 M31 MW MW

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Best Fit Parameters Best Fit Parameters

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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.

  • 4. D

Determine DH in ~100 galaxies. etermine DH in ~100 galaxies. 5 S i i B i B l Di k 5 S i i B i B l Di k

  • 5. Statistics: Baryonic Bulge, Disk,
  • 5. Statistics: Baryonic Bulge, Disk,

vs vs Dark Halo. Dark Halo.

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For references, visit For references, visit For references, visit For references, visit h // i h // i k j / k j / http://www.ioa.s.u http://www.ioa.s.u-

  • tokyo.ac.jp/

tokyo.ac.jp/ ~sofue/h ~sofue/h-

  • rot.htm

rot.htm so ue so ue

  • t. t
  • t. t