Hohmann Transfer Orbit Analysis

This script performs a Hohmann transfer orbit analysis, including calculations for both planar and non-coplanar circular orbit transfers. It also generates three-dimensional orbit graphics and a graphical primer vector analysis.

Overview

The Hohmann transfer is the most efficient way to move spaceprobes between two orbits using two engine impulses. This script provides a tool to analyze such transfers, calculating key parameters like delta-v (change in velocity), transfer orbit characteristics, and inclination changes.

Features

• Calculation of transfer parameters for orbits around Earth.
• Support for planar and non-coplanar transfers.
• 3D visualization of the initial, transfer, and final orbits.
• Interactive input for defining initial and final orbit parameters.

Dependencies

• numpy
• matplotlib
• scipy

Ensure these packages are installed in your Python environment to run the script successfully.

Usage

1. Clone this repository or download the script.
2. Ensure you have Python 3.x installed along with the required dependencies.
3. Run the script using a Python interpreter:

   hohmann_transfer.py
   

4. Follow the on-screen prompts to input the initial altitude, final altitude, initial orbital inclination, and final orbital inclination.
5. The script will calculate and display the transfer analysis results, followed by a 3D visualization of the orbits.

Mathematical Background

The script employs several key concepts from celestial mechanics:

• Gravitational Parameter ((μ)): Earth's gravitational constant times the mass of Earth.
• Radius of Earth ((R_{eq})): Equatorial radius of Earth.
• Delta-v ((\Delta v)): The measure of impulse required to perform the transfer.
• Semi-major axis of the transfer orbit: Calculated as the average of the initial and final orbit radii.
• Eccentricity of the transfer orbit: Determined based on the radii of the initial and final orbits.

Visualization

The 3D visualization plots the Earth, initial orbit, and final orbit to provide a graphical understanding of the transfer. Note: The visualization is simplified for educational purposes and might not represent exact scales.

Contributing

License

This project is open-sourced under the MIT License. See the LICENSE file for more details.

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