N-Body Simulation

This Python script simulates the motion and interaction of celestial bodies in a dynamical system. It models gravitational forces and inelastic collisions between celestial bodies.

Overview

The simulation consists of three classes:

1. DynamicalSystem:

   • Represents the overall dynamical system containing celestial bodies.
   • Allows for the addition of celestial bodies, updates their motion, and displays their positions.
   • Calculates gravitational interactions between celestial bodies.

2. NBodies:

   • Represents a celestial body in the system.
   • Defines parameters such as mass, position, velocity, and density.
   • Updates the body's motion, displays it in the 3D plot, and calculates gravitational interactions with other bodies.

3. CelestialBody(NBodies):

   • Inherits from NBodies and adds properties like color to represent a celestial body with additional visual features.

Usage

# Example usage:
system = DynamicalSystem(size=400, projection2D=True , view = (10,0))

# Sun
sun = CelestialBody(system, mass=1000, position=np.array([0.0, 0.0, 0.0]), velocity=np.array([0.0, 0.0, 0.0]), color="yellow")

# Planets
mercury = CelestialBody(system, mass=1, position=np.array([30.0, 0.0, 0.0]), velocity=np.array([0.0, 1.3, 0.0]), color="grey")
venus = CelestialBody(system, mass=3, position=np.array([50.0, 0.0, 0.0]), velocity=np.array([0.0, 2.5, 0.0]), color="orange")
earth = CelestialBody(system, mass=5, position=np.array([80.0, 0.0, 0.0]), velocity=np.array([0.0, 2.0, 0.0]), color="blue")
mars = CelestialBody(system, mass=2, position=np.array([110.0, 0.0, 0.0]), velocity=np.array([0.0, 1.5, 0.0]), color="red")

# Simulate the solar system for several steps
for _ in range(500):
    system.dynamical_interaction()
    system.update_all()
    system.display_all()

Note: Ensure that the required libraries (numpy and matplotlib) are installed before running the code.

Getting Started

1. Clone the repository:

   git clone https://github.com/Amirsamandar/N-Body-Simulation.git

2. Navigate to the project directory:

   cd n-body-simulation

3. Install the required dependencies:

   pip install -r requirements.txt

4. Run the simulation:

   python solar_system.py

Dependencies

• numpy: For numerical operations.
• matplotlib: For 3D plotting.

Contributing

Contributions are welcome! If you find any issues or have improvements, feel free to open an issue or submit a pull request.

License