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

2. 1. Introduction

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

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

5. これからのLog Grand RC

6. Log Scaling
銀河中心

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

8. 2. Log. Grand Rotation Curve

9. Milky Way

10. (8 kpc, 238 km/s)

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

12. M31

13. M31

14. Grand Rotation Curve

15. Grand Rotation Curve

16. 3. Deconvolution into Bulge,Disk, & Dark Halo

17. (1) Bulge de Vaucouleurs:

18. (2) Disk:
Exponential

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

20. MW GRC Decomposition

21. Two-Expo. Bulge Decomposition

22. Chi-Square Fitting

23. SMD : Obs vs Model

24. Ｍ３１　Ｆｉｔｔｉｎｇ

25. Ｃｈｉ　ｓｑｕａｒｅ　ｍａｐ

26. 5. Dark Halo Similarity in MW and M31

27. Log RC: MW / M31 Dark Halos

28. Universal Dark Halo RC
Isothermal
NFW
Kepler

29. DH Mass: M31 vｓ MW
M31 MW

30. Best Fit Parameters

31. Conclusion and Implication 1. GRC MW similar to M31. 2
Conclusion and Implication 1. GRC MW similar to M 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.

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