Contents

• 0. Preface
• 0.1. xxx
• 1. Shared Time Steps
• 1.1. Estimating the Time Step Size
• 1.2. Implementation on the Body Level
• 1.3. Implementation on the NBody Level
• 1.4. Multiple Time Step Schemes
• 2. Distance Measures
• 2.1. Phase Space
• 2.2. Numbering Bodies
• 2.3. A Test Count
• 2.4. Defensive Programming
• 2.5. Putting it together
• 2.6. Checking it out
• 3. A Puzzle
• 3.1. Starting with Runge-Kutta
• 3.2. Energy Scaling
• 3.3. Phase Space Distance Scaling
• 3.4. The Shared Time Step Code
• 3.5. Back to Basics
• 3.6. Even more Basic
• 4. The Answer
• 4.1. Inspection
• 4.2. Of Course!
• 4.3. The Right Thing
• 4.4. Setting up the Leapfrog
• 4.5. Testing the Leapfrog
• 5. Reproducibility Lost
• 5.1. Making Sure
• 5.2. The Danger of Short Options
• 5.3. Know Your Output File
• 5.4. Synchronization
• 5.5. The Toll it Takes
• 6. Reproducibility Gained
• 6.1. Asynchronicity
• 6.2. Overshooting
• 6.3. Living in a Logical World
• 6.4. An ACS tail Version
• 6.5. Testing tail
• 7. Efficiency
• 7.1. Pure Thought
• 7.2. Concrete Results
• 7.3. More is Different
• 8. Code Listing
• 8.1. The Whole Code
• 9. Literature References