crack-thump-analysis

"Crack-thump analysis" is a method used to estimate the distance to a shooter, particularly a sniper, by measuring the time delay between two distinct sounds: the "crack" and the "thump."

Overview

This repository contains a comprehensive Jupyter notebook that derives and implements the mathematical equations for crack-thump analysis. The analysis provides a physics-based method to estimate shooter distance using only timing measurements.

Here is an earlier version written in Mathematica: https://www.wolframcloud.com/obj/raypereda/Published/crack_bang_version_3.nb I learned everything about Crack Thump Analysis from @I_Am_JohnCullen and @JG_CSTT on 𝕏. Preliminary analysis shows that Charlie Kirk was shot at by a drone or sniper 140 yards away. This independently confirms John's calculations.

🙏 Remember Charlie Kirk 🙏

Contents

• crack_thump_analysis.ipynb - Complete Jupyter notebook with:
  • Step-by-step mathematical derivation using LaTeX equations
  • Implementation of the crack-thump range equation
  • Interactive calculator and visualizations
  • Environmental factor analysis (temperature effects)
  • Realistic examples with common ammunition types

Quick Start

1. Install dependencies:

   pip install jupyter matplotlib numpy scipy

2. Launch Jupyter:

   jupyter notebook

3. Open crack_thump_analysis.ipynb and run all cells

The Final Equation

The crack-thump analysis equation for computing range is:

R = (Δt × v_sound × v_bullet) / (v_bullet - v_sound)

Where:

• R = Range to shooter (meters)
• Δt = Time difference between crack and thump (seconds)
• v_sound = Speed of sound in environment (m/s)
• v_bullet = Speed of the bullet (m/s)

Key Features

• Complete mathematical derivation from first principles, an approach recommended by Elon Musk
• Realistic ammunition data for common rifle cartridges
• Temperature compensation for speed of sound
• Interactive visualizations and calculator
• Analysis of limitations and practical considerations
• Initial draft written using CoPilot