GeoKinematics 1.0.3

GeoKinematics

Mathematical Engineering for High-Performance Geospatial Kinematics

GeoKinematics is a high-precision C# library built on .NET 9.0. It bridges the gap between historical scientific models and modern geodetic calculations to provide a robust engine for distance, velocity, and time calculations.

Overview

The library integrates classical physics with advanced geodesy, utilizing theories from historical scholars such as Al-Biruni, Al-Buzjani, and Ibn Bajja, transforming them into modern computational modules.

Features

1. Geodesy Module

The core of the engine responsible for planetary and coordinate-based calculations:

• Dynamic Earth Radius: Calculates the Earth's geocentric radius based on latitude instead of using a fixed value.
• Haversine Formula: Implementation for calculating the shortest distance between two points on a sphere.
• Al-Biruni Model: For calculating the Earth's curvature and horizon distance based on altitude and horizon dip angle.
• Al-Buzjani Trigonometry: Advanced spherical trigonometric functions for side and angle calculations.

2. Physics and Kinematics Module

A comprehensive suite for real-world motion simulation:

• Newtonian Laws: Full implementation of Newton's First, Second, and Third laws of motion for force and equilibrium analysis.
• Acceleration Engine: Includes specialized functions for Turbo Acceleration and Emergency Deceleration.
• Collision Dynamics: Analytical models for both Elastic and Inelastic collisions.
• Terminal Velocity: Determines the maximum constant speed through a fluid.

3. Energy and Work

• Energy Physics: Calculations for Potential and Kinetic energy.
• Fuel Consumption: Estimation of fuel usage based on energy density and joules.
• Work Done: Measures energy transfer over specific geodetic distances.

Technical Stack

• Target Frameworks:
  • .NET 6.0, 8.0, 9.0 (High Performance)
  • .NET Standard 2.0 (Maximum Compatibility)
• Platforms: Windows, Linux, macOS, Android, iOS (Cross-Platform)
• Language: C# 13.0
• Primary Dependencies:
  • MathNet.Numerics & MathNet.Symbolics
  • NmeaParser (GPS Integration)
  • Microsoft.Maui.Essentials (Mobile Utilities)

Usage Example

using Geodesy.Physics;

double lat1 = 30.0444, lon1 = 31.2357;
double lat2 = 31.2001, lon2 = 29.9187;

double radius = EarthGeocentricRadius.GetRadius(lat1);
double distance = Haversine_Formula.CalculateDistance(lat1, lon1, lat2, lon2, radius);

Console.WriteLine($"Distance: {distance} km");
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