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https://github.com/oadultradeepfield/n-body-orbit-simulation
A C++/Go program for N-Body orbit simulations, built upon the previous 3-Body projects, with added support for spherical coordinates and collision.
https://github.com/oadultradeepfield/n-body-orbit-simulation
cpp golang gravity python simulation
Last synced: 9 days ago
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A C++/Go program for N-Body orbit simulations, built upon the previous 3-Body projects, with added support for spherical coordinates and collision.
- Host: GitHub
- URL: https://github.com/oadultradeepfield/n-body-orbit-simulation
- Owner: oadultradeepfield
- License: mit
- Created: 2024-12-11T07:30:35.000Z (2 months ago)
- Default Branch: main
- Last Pushed: 2025-01-25T06:13:02.000Z (17 days ago)
- Last Synced: 2025-01-25T07:18:59.673Z (17 days ago)
- Topics: cpp, golang, gravity, python, simulation
- Language: C++
- Homepage:
- Size: 7.93 MB
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
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README
# N-Body Orbit Simulation
This repository builds upon my [previous work on 3-Body Simulation](https://github.com/oadultradeepfield/three-body-simulation/). While the core implementation remains unchanged, this version introduces support for both spherical and Cartesian coordinate systems in a unified configuration file. Note that the angle $\theta$ is measured from the X-axis, while $\phi$ is measured from the Z-axis down to the plane orthogonal to it. Additionally, it calculates changes in velocity resulting from momentum transfer during collisions, assuming elastic collisions.
## Installation (Same as Previous)
- Clone the repository and navigate to the project directory:
```bash
git clone https://github.com/oadultradeepfield/n-body-simulation.git
cd n-body-simulation
```
- Create a build directory, generate the Makefile with CMake, and build the project:
```bash
mkdir build
cd build
cmake ..
make
```
- Install Python dependencies for visualization:
```bash
pip install -r python/requirements.txt
```
## Usage (Updated Configuration File)
- Configure the simulation by editing the new unified `config.json` file. This file includes all the necessary configuration parameters for both the simulation and the bodies, as well as the coordinate system type. Example:
```json
{
"config": {
"G": 6.6743e-11,
"dt": 1000,
"total_time": 3.16e7,
"filename": "results/example_sun_earth_lagrangian_points.txt",
"collision_distance": 1e-8
},
"coordinates_type": "spherical",
"bodies": [
{
"_name": "Sun",
"mass": 1.989e30,
"position": [0.0, 0.0, 1.5707963268],
"velocity": [0.0, 0.0, 0.0]
},
{
"_name": "Earth",
"mass": 5.972e24,
"position": [1.496e11, 0.0, 1.5707963268],
"velocity": [0.0, 2.9788e4, 0.0]
},
{
"_name": "L1",
"mass": 6500,
"position": [1.481e11, 0.0, 1.5707963268],
"velocity": [0.0, 2.9489e4, 0.0]
}
]
}
```
- `config.json` contains general simulation parameters like the gravitational constant `G`, time step `dt`, total time, output file, and collision distance.
- The `coordinates_type` specifies the coordinate system (`"cartesian"` or `"spherical"`).
- The `bodies` section lists the celestial bodies with their respective properties: `name`, `mass`, `position`, and `velocity`.
- If you are using Cartesian coordinates, make sure to input the coordinates as $x, y, z$. For spherical coordinates, use $r, \theta, \phi$ instead.
- Note that `_name` is optional; it is simply used to help guide the user when inputting multiple objects, making it easier to navigate through the configuration.
- Run the simulation, specifying the coordinate system as a parameter (either `cartesian` or `spherical`):
```bash
build/NBodyOrbit config.json
```
- Generate trajectory plots (optional):
```bash
python3 python/plot.py --filename ./results/example_sun_earth_lagrangian_points.txt --N 7 --labels Sun,Earth,L1,L2,L3,L4,L5
```
The output plot will be saved in the same directory as the `.txt` file.
| **Example 3D Trajectory** | **Example XY Projection** |
| :-----------------------------------------------------------------------------------: | :--------------------------------------------------------------------------------------: |
|  |  |