2.6 Mutual Attraction - The Nature of Code
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...
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Links discussed in this video:
🔗 Newton's law of universal gravitation (Wikipedia): https://en.wikipedia.org/wiki/Newton'...
🔗 Nature of Code Book - 2.10 Everything Attracts (or Repels) Everything: https://natureofcode.com/book/chapter...
🔗 p5.Vector rotate(): https://p5js.org/reference/#/p5.Vecto...
🔗 N-Body Choreographies research paper by Montaldi and Steckles: https://personalpages.manchester.ac.u...
🔗 N-Body Choreographies animation tool by Dan Gries: https://personalpages.manchester.ac.u...
Other videos mentioned in this video:
🎥 2.5 Gravitational Attraction - The Nature of Code: • 2.5 Gravitational Attraction - The Na...
🎥 2.1 Simulating Forces: Gravity and Wind - The Nature of Code: • 2.1 Simulating Forces: Gravity and Wi...
🎥 5.1 Autonomous Steering Agents - The Nature of Code: • 5.1 Autonomous Steering Agents Introd...
🎥 3.1 Angles and Rotation - The Nature of Code: • 3.1 Angles and Rotation - Nature of Code
🎥 Coding Challenge #98.1 - Quadtree: • Coding Challenge #98.1: Quadtree - Pa...
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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