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2. Getting Started on
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1.7 Writing your own
II. Exploring
-Body Algorithms
Subsections
2. Getting Started on the
-Body problem
2.1 Our Setting
2.2 The Gravitational
-Body Problem
2.3 The Gravitational
-Body Problem
3. Exploring
with a Forward-Euler Algorithm
3.1 Choosing an Algorithm
3.2 Writing a Code
3.3 Running a Code
3.4 Extending a Code
3.5 Plotting and Printing
3.6 Finding (slow) Convergence
3.7 Checking Energy Conservation
4. Exploring
with a Leapfrog Algorithm
4.1 Two Ways to Write the Leapfrog
4.2 A Simple Leapfrog for the 2-Body Problem
4.3 Finding Better Convergence
5. Exploring
with a Leapfrog Algorithm
5.1 A More General Leapfrog
5.2 Coordinates in the Center of Mass System
5.3 Setting up Three Stars on a Circle
5.4 Looking for Instabilities
5.5 Priming the Pump
5.6 Reaching Convergence
5.7 The End of the Story
5.8 Three Bodies on a Figure Eight
6. Exploring
with a Hermite Algorithm
6.1 A Surprisingly Simple Hermite Scheme
6.2 Comparison with the Leapfrog
6.3 Snap, Crackle, and Pop
6.4 Implementing Hermite
6.5 Testing the Hermite: Three Stars on a Circle
6.6 The Hermite Soars: Three Bodies on a Figure Eight
The Art of Computational Science
2004/01/25
-Body Algorithms
-Body problem
with a Forward-Euler Algorithm
with a Leapfrog Algorithm
with a Leapfrog Algorithm
with a Hermite Algorithm
-Body Problem
-Body Problem