programming

Welcome back to another exciting part of the n-body-problem post series. This time we are going to implement the Euler-Method to make the tests, we defined in the last post, pass. If you just dropped in or need to fresh up your memory see the links to the previous posts below. I also stumbled upon a very good presentation of the n-body-problem topic. Even if it’s quite mathy, it serves us as good background information.

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Welcome back to the n-body-problem series. Last time we’ve been setting up our project structure and CMake setup. According to some helpful reddit comments, I adapted our CMake setup a bit, but I’m still not absolutely sure if the project structure, as it is now, will last to the end of the project. If you’ve missed any of the earlier posts, you can find them here:

  1. My God, it’s Full Of Stars: The n-body-problem series
  2. My God, it’s Full Of Stars: And then there was CMake

Because we want to exercise TDD, we somehow need to define some test cases first before we can implement our solver library. A simple scenario would be two points with an equivalent mass M , a distance of r and no initial velocity and acceleration. Clearly we could do hundreds of different complex tests with it. But i would like to start with two very simple and specific tests, point masses accelerating and moving only in x- and y-direction sole. This way we can check that, at least the basis, assumptions, formulas, and implementations are correct.

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I thought it would be a very nice idea to start my blog with a small project I wanted to do since a long time. A small tool/solver of the n-body-problem. It’s not just only the interest of solving a challenging mathematical problem with modern C++. I also love clean, concise and readable code, which is also something I would like to train and share with this project. You can find the empty repository setup at GitHub. I will always try to tag the end state of the repository after each post of this blog series.

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