2.6 Mutual Attraction - The Nature of Code

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Published on March 28, 2022 3:27:04 PM ● Video Link: https://www.youtube.com/watch?v=GjbKsOkN1Oc

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Finishing off Chapter 2 on forces, let's look at an "N-Body Simulation" where all movers experience gravitational attraction with all other movers! https://thecodingtrain.com/tracks/the-nature-of-code-2/noc/2-forces/6-mutual-attraction

p5.js Web Editor Sketches:
🕹️ Mutual Attraction (N-Body): https://editor.p5js.org/codingtrain/sketches/bEt7eLZ6Y
🕹️ Mutual Attraction (N-Body) with Barnes Hut: https://editor.p5js.org/codingtrain/sketches/joXNoi9WL

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Links discussed in this video:
🔗 Newton's law of universal gravitation (Wikipedia): https://en.wikipedia.org/wiki/Newton's_law_of_universal_gravitation
🔗 Nature of Code Book - 2.10 Everything Attracts (or Repels) Everything: https://natureofcode.com/book/chapter-2-forces/#210-everything-attracts-or-repels-everything
🔗 p5.Vector rotate(): https://p5js.org/reference/#/p5.Vector/rotate
🔗 N-Body Choreographies research paper by Montaldi and Steckles: https://personalpages.manchester.ac.uk/staff/j.montaldi/Choreographies/about.html
🔗 N-Body Choreographies animation tool by Dan Gries: https://personalpages.manchester.ac.uk/staff/j.montaldi/Choreographies/

Other videos mentioned in this video:
🎥 2.5 Gravitational Attraction - The Nature of Code: https://youtu.be/EpgB3cNhKPM
🎥 2.1 Simulating Forces: Gravity and Wind - The Nature of Code: https://youtu.be/Uibl0UE4VH8
🎥 5.1 Autonomous Steering Agents - The Nature of Code: https://youtu.be/P_xJMH8VvAE
🎥 3.1 Angles and Rotation - The Nature of Code: https://youtu.be/DMg-WRfNB60
🎥 Coding Challenge #98.1 - Quadtree: https://youtu.be/OJxEcs0w_kE

Timestamps:
0:00 Introducing Today's Topic
0:30 Recap Single attractor system
1:20 The two body problem
2:21 Euler Integration
2:53 Other integration options
4:00 Coding 2-body simulation
7:56 The three body problem
8:15 Coding 3-body simulation
9:04 Refactoring for n-body
10:48 Adding a fourth mover
11:38 Looking at initial states
12:03 Shape 1: donut
13:33 The p5 Vector rotate() function
16:12 Trying out different variations
17:34 Looking at efficiency
19:10 Adding the sun
20:46 Looking at other examples
21:21 Exercise for viewers
22:09 Invite to chapter 3 and goodbye

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