Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Features
Speaker Deck
PRO
Sign in
Sign up for free
Search
Search
The Mass of M31
Search
Dan Foreman-Mackey
July 25, 2012
Science
0
160
The Mass of M31
Dan Foreman-Mackey
July 25, 2012
Tweet
Share
More Decks by Dan Foreman-Mackey
See All by Dan Foreman-Mackey
Open software for Astronomical Data Analysis
dfm
0
130
Open Software for Astrophysics, AAS241
dfm
2
520
My research talk for CCA promotion
dfm
1
770
Astronomical software
dfm
1
720
emcee-odi
dfm
1
650
Exoplanet population inference: a tutorial
dfm
3
450
Data-driven discovery in the astronomical time domain
dfm
6
710
TensorFlow for astronomers
dfm
6
790
How to find a transiting exoplanets
dfm
1
460
Other Decks in Science
See All in Science
Agent開発フレームワークのOverviewとW&B Weaveとのインテグレーション
siyoo
0
240
Hakonwa-Quaternion
hiranabe
1
100
Cross-Media Information Spaces and Architectures (CISA)
signer
PRO
3
31k
安心・効率的な医療現場の実現へ ~オンプレAI & ノーコードワークフローで進める業務改革~
siyoo
0
230
butterfly_effect/butterfly_effect_in-house
florets1
1
180
白金鉱業Meetup Vol.15 DMLによる条件付処置効果の推定_sotaroIZUMI_20240919
brainpadpr
2
820
データマイニング - グラフデータと経路
trycycle
PRO
1
120
Quelles valorisations des logiciels vers le monde socio-économique dans un contexte de Science Ouverte ?
bluehats
1
380
2025-06-11-ai_belgium
sofievl
1
110
「美は世界を救う」を心理学で実証したい~クラファンを通じた新しい研究方法
jimpe_hitsuwari
1
130
Collective Predictive Coding Hypothesis and Beyond (@Japanese Association for Philosophy of Science, 26th October 2024)
tanichu
0
130
ほたるのひかり/RayTracingCamp10
kugimasa
1
710
Featured
See All Featured
Dealing with People You Can't Stand - Big Design 2015
cassininazir
367
26k
Fireside Chat
paigeccino
37
3.5k
How GitHub (no longer) Works
holman
314
140k
Raft: Consensus for Rubyists
vanstee
139
7k
What’s in a name? Adding method to the madness
productmarketing
PRO
22
3.5k
No one is an island. Learnings from fostering a developers community.
thoeni
21
3.3k
Writing Fast Ruby
sferik
628
61k
Making Projects Easy
brettharned
116
6.2k
Practical Orchestrator
shlominoach
188
11k
For a Future-Friendly Web
brad_frost
179
9.8k
Designing Dashboards & Data Visualisations in Web Apps
destraynor
231
53k
Designing for humans not robots
tammielis
253
25k
Transcript
THE MASS OF M31 THE FULLY SELF-CONSISTENT DYNAMICAL MODEL GALAXY
COFFEE MPIA 2012
DAN FOREMAN-MACKEY DANFM.CA GITHUB.COM/DFM NEW YORK UNIVERSITY LARRY WIDROW WITH:
QUEEN'S UNIVERSITY, CANADA
WHAT DO WE WANT TO DO? BUILD A TOOL FOR
DYNAMICAL MODELING OF DISK GALAXIES USING ALL AVAILABLE DATASET SELF-CONSISTENTLY PHYSICALLY MOTIVATED i.e. not mass modeling...
WHAT HAVE WE DONE? BUILT A MODEL OF ANDROMEDA USING
A LOT OF DATASETS SELF-CONSISTENTLY PHYSICALLY MOTIVATED * *WAIT TWO SLIDES
van der Marel & Guhathakurta (2008) Widrow, Pym & Dubinski
(2005) Evans & Wilkinson (2000) Kuijken & Dubinski (1995) WHERE DOES THIS COME FROM?
Radius HI-rotation curve Corbelli et al. (2010) surface brightness profile
Barmby et al. (2006) satellite galaxy kinematics PAndAS, SPLASH, et al. Conn et al. (2011, in prep) ~10 kpc ~500 kpc Data PLUS: HALO STARS GLOBULAR CLUSTERS PLANETARY NEBULAE ETC.
GALACTICS f(E, Lz, Ez) = fh(E) + fb(E) + fd(E,
LzEz) ⇢(r, z) = ⇢h( (r, z)) + ⇢b( (r, z)) + ⇢d(r, z) r2 = 4 ⇡ G ⇢
GALACTICS f(E, Lz, Ez) = fh(E) + fb(E) + fd(E,
LzEz) ⇢(r, z) = ⇢h( (r, z)) + ⇢b( (r, z)) + ⇢d(r, z) r2 = 4 ⇡ G ⇢ Generative Model
GALACTICS f(E, Lz, Ez) = fh(E) + fb(E) + fd(E,
LzEz) ⇢(r, z) = ⇢h( (r, z)) + ⇢b( (r, z)) + ⇢d(r, z) r2 = 4 ⇡ G ⇢ Generative Model Likelihood Function
GALACTICS f(E, Lz, Ez) = fh(E) + fb(E) + fd(E,
LzEz) ⇢(r, z) = ⇢h( (r, z)) + ⇢b( (r, z)) + ⇢d(r, z) r2 = 4 ⇡ G ⇢ Generative Model Likelihood Function 19 Parameters
Generative Model Likelihood Function ☁ x
Generative Model Likelihood Function ☁ x emceethe MCMC Hammer arxiv.org/abs/1202.3665
danfm.ca/emcee github.com/dfm/emcee paper documentation issues/contributions
40 60 80 100 120 140 160 R [arcmin] 180
200 220 240 260 280 300 320 vcirc [km s 1] 100 101 102 R [arcmin] 15 16 17 18 19 20 21 22 23 24 µ [mag arcsec 2]
None
BONUS
BONUS