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Part III: Multi-particle and Extended Systems
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Part III: Multi-particle and Extended Systems
by Adrian Dobre, Dev Ramtal
The Essential Guide to Physics for Flash Games, Animation, and Simulations
Title
Dedication
Contents at a Glance
Contents
About the Authors
About the Technical Reviewer
About the Cover Image Artist
Acknowledgments
Preface
What this book will (and won't) teach you
Overview of this book
Source code and examples
Part I: The Basics
Chapter 1: Introduction to Physics Programming
Why model real physics?
What is physics?
Programming physics
A simple example
Summary
Chapter 2: Selected ActionScript 3.0 Topics
ActionScript 3.0 classes
ActionScript 3.0 language basics
Events in ActionScript 3.0
The Flash coordinate system
The Flash drawing API
Producing animation using code
Collision detection
Summary
Chapter 3: Some Math Background
Coordinates and simple graphs
Basic trigonometry
Vectors and basic vector algebra
Simple calculus ideas
Summary
Chapter 4: Basic Physics Concepts
General physics concepts and notation
Things: particles and other objects in physics
Describing motion: kinematics
Predicting motion: forces and dynamics
Energy concepts
Summary
Part II: Particles, Forces, and Motion
Chapter 5: The Laws Governing Motion
Newton’s laws of motion
Applying Newton’s laws
Newton’s second law as a differential equation
The principle of energy conservation
The principle of momentum conservation
Laws governing rotational motion
Summary
Chapter 6: Gravity, Orbits, and Rockets
Gravity
Orbits
Local gravity
Rockets
Summary
Chapter 7: Contact and Fluid Forces
Contact forces
Pressure
Upthrust (buoyancy)
Drag
Lift
Wind and turbulence
Summary
Chapter 8: Restoring Forces: Springs and Oscillations
Springs and oscillations: Basic concepts
Free oscillations
Damped oscillations
Forced oscillations
Coupled oscillators: Multiple springs and objects
Summary
Chapter 9: Centripetal Forces: Rotational Motion
Kinematics of uniform circular motion
Centripetal acceleration and centripetal force
Non-uniform circular motion
Summary
Chapter 10: Long-Range Forces
Particle interactions and force fields
Newtonian gravitation
Electrostatic force
Electromagnetic force
Other force laws
Summary
Part III: Multi-particle and Extended Systems
Chapter 11: Collisions
Collisions and their modeling
Bouncing off horizontal or vertical walls
Bouncing off inclined walls
Collisions between particles in 1D
Collisions between particles in 2D
Summary
Chapter 12: Particle Systems
Introduction to particle system modeling
Creating animated effects using particles
Particle animations with long-range forces
Interacting particle systems
Summary
Chapter 13: Extended Objects
Rigid bodies
Deformable bodies
Summary
Part IV: Building More Complex Simulations
Chapter 14: Numerical Integration Schemes
General principles
Euler integration
Runge-Kutta integration
Verlet integration
Summary
Chapter 15: Other Technical Issues
Doing physics in 3D
Building scale models
Building accurate simulations
Summary
Chapter 16: Simulation Projects
Build a submarine
Build a flight simulator
Create an accurate solar system model
Summary
Index
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Chapter 11: Collisions
Part III
Multi-particle and Extended Systems
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