Upgrade to Pro — share decks privately, control downloads, hide ads and more …

Action-angle Coordinates

Sponsored · Your Podcast. Everywhere. Effortlessly. Share. Educate. Inspire. Entertain. You do you. We'll handle the rest. →
Avatar for Adrian Price-Whelan Adrian Price-Whelan
October 09, 2014
Science
190
0

Action-angle Coordinates

A semi-casual introduction to Action-angle coordinates in Hamiltonian dynamics.

Avatar for Adrian Price-Whelan

Adrian Price-Whelan

October 09, 2014

More Decks by Adrian Price-Whelan

See All by Adrian Price-Whelan
the Astropy project - Flatware
Avatar for Adrian Price-Whelan adrn
1
260
the dynamic Milky Way in the Gaia era
Avatar for Adrian Price-Whelan adrn
1
220
The Astropy Project
Avatar for Adrian Price-Whelan adrn
1
120
Git and version control
Avatar for Adrian Price-Whelan adrn
1
120
Chaos and stellar streams
Avatar for Adrian Price-Whelan adrn
1
180
Software testing
Avatar for Adrian Price-Whelan adrn
0
210
Local Group Astrostatistics
Avatar for Adrian Price-Whelan adrn
1
100
100% Outer Space
Avatar for Adrian Price-Whelan adrn
1
160
SMHASH telecon 03/2015
Avatar for Adrian Price-Whelan adrn
0
110

Other Decks in Science

See All in Science
SpatialRDDパッケージによる空間回帰不連続デザイン
Avatar for saltcooky saltcooky12
0
210
AI(人工知能)の過去・現在・未来 —AIは人間を超えるのか—
Avatar for Y-h. Taguchi tagtag
PRO
0
170
力学系から見た現代的な機械学習
Avatar for Han Bao hanbao
3
4.1k
Rashomon at the Sound: Reconstructing all possible paleoearthquake histories in the Puget Lowland through topological search
Avatar for Richard Styron cossatot
0
860
KH Coderチュートリアル（スライド版）
Avatar for HIGUCHI Koichi koichih
1
61k
My Little Monster
Avatar for Juzi juzishuu
0
700
データベース03: 関係データモデル
Avatar for Y. Yamamoto trycycle
PRO
1
440
会社でMLモデルを作るとは @電気通信大学 データアントレプレナーフェロープログラム
Avatar for yuto16 yuto16
1
630
20260220 OpenIDファウンデーション・ジャパン ご紹介 / 20260220 OpenID Foundation Japan Intro
Avatar for OpenID Foundation Japan oidfj
0
310
検索と推論タスクに関する論文の紹介
Avatar for Yu Nakano / 中野優 ynakano
1
190
AI(人工知能)の過去・現在・未来 —AIは人間を超えるのか—
Avatar for Y-h. Taguchi tagtag
PRO
1
270
白金鉱業Meetup_Vol.20 効果検証ことはじめ / Introduction to Impact Evaluation
Avatar for BrainPad brainpadpr
2
1.8k

Featured

See All Featured
Easily Structure & Communicate Ideas using Wireframe
Avatar for Afnizar Nur Ghifari afnizarnur
194
17k
Performance Is Good for Brains [We Love Speed 2024]
Avatar for Tammy Everts tammyeverts
12
1.6k
Designing for Performance
Avatar for Lara Hogan lara
611
70k
A Modern Web Designer's Workflow
Avatar for Chris Coyier chriscoyier
698
190k
Building Adaptive Systems
Avatar for Chris Keathley keathley
44
3k
Creating an realtime collaboration tool: Agile Flush - .NET Oxford
Avatar for Marc Duiker marcduiker
35
2.4k
Believing is Seeing
Avatar for Spiro Bolos oripsolob
1
110
Producing Creativity
Avatar for Steve Smith orderedlist
PRO
348
40k
Bioeconomy Workshop: Dr. Julius Ecuru, Opportunities for a Bioeconomy in West Africa
Avatar for AKADEMIYA2063 akademiya2063
PRO
1
95
Refactoring Trust on Your Teams (GOTO; Chicago 2020)
Avatar for Rebecca Miller-Webster rmw
35
3.4k
Agile that works and the tools we love
Avatar for Rasmus Luckow-Nielsen rasmusluckow
331
21k
Site-Speed That Sticks
Avatar for Harry Roberts csswizardry
13
1.2k

Transcript

  1. ACTION-ANGLE COORDINATES Adrian Price-Whelan

  2. None
  3. None

  4. n second order 2n first order

  5. n=3, 6D phase-space

  6. Integrable systems There exist n independent integrals of motion In

    2n-dimensional phase-space:

  7. Integrable systems There exist n independent integrals of motion Motion

    is confined to an n-dimensional manifold In 2n-dimensional phase-space:

  8. Integrable systems Bounded motion periodicity

  9. Integrable systems What if…

  10. Integrable systems

  11. Action-angle coords.

  12. Action-angle coords.

  13. Action-angle coords.

  14. None
  15. None
  16. None
  17. None
  18. None
  19. None

  20. cool. SO WHAT?

  21. Tidal stream formation Hessian

  22. Tidal stream formation

  23. Position Velocity

  24. Angles Actions

  25. so how do we find actions?

  26. This is not a solved problem!

  27. Kaasalainen & Binney McGill & Binney Sanders & Binney Bovy