Lectures
========

This page contains links to the recorded lectures and associated materials. Each
lecture is accompanied by a set of notes, all linked below.

For students attending the school in person, please use the relevant Slack
channels (also linked below each section) to ask questions, raise points for
discussion, or comment on the lecture content.

Introduction
------------

*Slack channel:* `#summer-school-2021 <https://ccadynamics.slack.com/archives/C0261M09HDX>`__

`Prologue: Galaxies in the Universe <https://www.dropbox.com/s/8cl8oalv7va5j03/0_Galaxies_in_Context.mp4?dl=0>`_ (12:16 mins) —
*Tjitske Starkenburg* (`slides <https://www.dropbox.com/s/wqikixg04goweow/0_Galaxies_in_Context.pdf?dl=0>`__)

`Lecture Overview <https://www.dropbox.com/s/4kyxct43egex3is/0_Lectures_Overview.mov?dl=0>`_ (6:12) —
*Kathryn V Johnston* (`notes <https://www.dropbox.com/s/yox786jp26cyims/0_Lectures_Overview.pdf?dl=0>`__)


Orbits
------

*Kathryn V Johnston* (`notes <https://www.dropbox.com/sh/p8kqnlyqfuxls02/AABiEAOKYOEldnvOAYMNLdp7a?dl=0>`__, `blank notes <https://www.dropbox.com/sh/06brlbddfvp93iq/AAAfY-3tXsRMNkGn67QWqMdZa?dl=0>`__)

*Slack channel:* `#bads2021-1-orbits <https://ccadynamics.slack.com/archives/C026726HYTF>`__

#. `Describing Orbits <https://www.dropbox.com/s/jgiml17pane0ow4/1A_Orbits.mov?dl=0>`_ (9:20)
#. `Orbits in Spherical Potentials <https://www.dropbox.com/s/o0v62a7cw5hcmxx/1B_Orbits.mov?dl=0>`_ (13.27)
#. `Near Circular Orbits in Disks <https://www.dropbox.com/s/29o1q1ue1xw1uzt/1C_Orbits.mov?dl=0>`_ (12:07)
#. `Hamiltonian Description <https://www.dropbox.com/s/fzhkx24gg921ir9/1D_Orbits.mov?dl=0>`_ (8:24)
#. `Exploring the Orbital Zoo <https://www.dropbox.com/s/qa3k3jd6h9o165h/1E_Orbits.mov?dl=0>`_ (13:31)


The Galaxy as a Collection of Orbits
------------------------------------

*Tjitske Starkenburg* (`notes <https://www.dropbox.com/s/l8lyogf2duaulf3/notes.pdf?dl=0>`__)

*Slack channel:* `#bads2021-2-collections-of-orbits <https://ccadynamics.slack.com/archives/C025VB21HGX>`__

#. `Describing Galaxies with Distribution Functions <https://www.dropbox.com/s/j5mrktvm7bk5imb/2A_Galaxies.mov?dl=0>`_ (13:27)
#. `The Collisionless Boltzmann Equation <https://www.dropbox.com/s/4mbbbhclm3thast/2B_Galaxies.mov?dl=0>`_ (9:35)
#. `The CBE, Integrals of Motion and Jeans Theorems <https://www.dropbox.com/s/zmoc7g84t0u5cs3/2C_Galaxies.mov?dl=0>`_ (12:05)
#. `Examples <https://www.dropbox.com/s/0vn9gqxo1st8kgn/2D_Galaxies.mov?dl=0>`_ (18:41)
#. `Jeans Equations <https://www.dropbox.com/s/414cfwsfczy7uou/2E_Galaxies.mov?dl=0>`_ (20:59)


How and Why Galaxies Evolve
---------------------------

*Martin Weinberg* (`notes <https://www.dropbox.com/sh/jcczygjjab4oy3q/AABcAqSM7SvinDythbeOa93sa?dl=0>`__)

*Slack channel:* `#bads2021-3-evolution-of-galaxies <https://ccadynamics.slack.com/archives/C026A2WSTQS>`__

#. *Fundamentals*

   #. `Adiabatic Invariance and the Averaging Theorem <https://www.dropbox.com/s/x9t5t5gsp1umvqy/3A_Evolution.mov?dl=0>`_ (15:11 mins)
   #. `Properties of Hamiltonians <https://www.dropbox.com/s/ie7rn3gtmy9poox/3B_Evolution.mov?dl=0>`_ (5:51 mins)
   #. `Invariance of Actions <https://www.dropbox.com/s/dtsb1g6y3wq38mp/3C_Evolution.mov?dl=0>`_ (15:14 mins)

#. *Application to a Disk Galaxy*

   #. `Setting up the calculation <https://www.dropbox.com/s/k2l2035vpwe36i0/3D_Evolution.mov?dl=0>`_ (16:01)
   #. `Treating the Denominator <https://www.dropbox.com/s/wemlw84exmi5mmz/3E_Evolution.mov?dl=0>`_  (15:00)

#. *Classic Interaction Calculations*

   #. `Dynamical Friction <https://www.dropbox.com/s/7vypv31k1jqnsqe/3F_Evolution.mov?dl=0>`_ (25:50)
   #. `Impulsive Encounters <https://www.dropbox.com/s/9nwm175a2t96b58/3G_Evolution.mov?dl=0>`_ (19:46)


Secular Evolution and Modes: Spiral Arms
----------------------------------------

*Elena D’Onghia* (`notes <https://www.dropbox.com/sh/t595y2rajmpbikb/AABDuXb8K5pq2QD1kwpCY8mHa?dl=0>`__)

*Slack channel:* `#bads2021-4-modes-and-spiral-arms <https://ccadynamics.slack.com/archives/C026ZP8C0PJ>`__

#. `Statement of Problem <https://www.dropbox.com/s/wisiawc39plb0xf/4A_SpiralArms.mov?dl=0>`_ (21:24)
#. `Instabilities and Waves <https://www.dropbox.com/s/9u7aa1oym4u14e0/4B_SpiralArms.mov?dl=0>`_ (22:57)
#. `Swing Amplification <https://www.dropbox.com/s/2tfvnhi6vn2vp4w/4C_SpiralArms.mov?dl=0>`_ (18:47)
#. `Numerical Simulations and Spiral Arms <https://www.dropbox.com/s/k6ymntfi7d2m4g5/4D_SpiralArms.mov?dl=0>`_ (26:42)