🚀 Hohmann Transfer with Hall Effect Thrusters (HohmannHET)

📋 Overview

HohmannHET is a comprehensive multi-language toolkit for calculating and visualizing Hohmann transfer orbits around Earth. This repository provides highly optimized implementations in Python, C++, and MATLAB, specifically designed for analyzing the most energy-efficient orbital transfer maneuvers between circular orbits.

The project focuses on precision, performance, and educational value, making it suitable for both academic research and practical aerospace applications.

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✨ Key Features

🎯 Precise Orbital Mechanics Calculations

• Delta-V Computation: Calculate accurate velocity changes for departure and arrival burns
• Transfer Orbit Analysis: Determine semi-major axis and orbital parameters
• Time Optimization: Compute total transfer duration with high precision
• Multi-Scenario Support: Handle LEO-to-GEO, reverse transfers, and custom altitudes

🔧 Multi-Language Implementation

• Python: Ultra-optimized with NumPy vectorization and matplotlib visualization
• C++: High-performance implementation with comprehensive Google Test suite
• MATLAB: Educational-friendly version for academic environments

📊 Advanced Visualization

• 3D Orbital Plots: Interactive Earth representation with orbital trajectories
• Transfer Path Visualization: Clear depiction of elliptical transfer orbits
• Performance Optimized: Reduced rendering overhead for faster plotting

🧪 Testing & Validation

• Comprehensive Test Suite: 15+ test cases covering edge cases and boundary conditions
• Performance Benchmarks: Sub-millisecond calculation times
• Mathematical Validation: Verified against known LEO-to-GEO transfer values

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🛠️ Technical Specifications

Physical Constants

Parameter	Value	Unit
Earth's Gravitational Parameter (μ)	398,600.4418	km³/s²
Earth's Equatorial Radius	6,378.137	km
Calculation Precision	1e-6	-

Supported Transfer Types

• ✅ Low Earth Orbit (LEO) to Geostationary Orbit (GEO)
• ✅ Reverse transfers (GEO to LEO)
• ✅ Custom altitude transfers
• ✅ Same-altitude validation (zero delta-V)
• ✅ Extreme altitude differences (up to 100,000 km)

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🚀 Quick Start

Prerequisites

pip install numpy matplotlib scipy

Citations

@misc{ATaylor_HohmannTransferOrbitAnalysis_2024,
  author       = {A. Taylor},
  title        = {Hohmann Transfer Orbit Analysis},
  year         = {2025},
  url          = {[https://github.com/ATaylorAerospace/HohmannHET]},
  note         = {Accessed: YYYY-MM-DD}
}