BallisticCalculator

LGPL library for small arms ballistic calculations based on point-mass (3 DoF) plus spin drift.

license pypi pypi-pre downloads downloads/month cythonization py-versions Made in Ukraine

Pytest Euler (Cython) Pytest RK4 (Cython) Pytest Scipy

Contents

Installation

pip

pip install py-ballisticcalc

# Include compiled engines
pip install py-ballisticcalc[exts]

# Include support for charting and dataframes
pip install py-ballisticcalc[charts]

# Get everything, including the SciPy engine
pip install py-ballisticcalc[exts,charts,scipy]

QuickStart

Examples

Ballistic Concepts

Units

Work in your preferred terms with easy conversions for the following dimensions and units:

  • Angular: radian, degree, MOA, mil, mrad, thousandth, inch/100yd, cm/100m, o'clock
  • Distance: inch, foot, yard, mile, nautical mile, mm, cm, m, km, line
  • Energy: foot-pound, joule
  • Pressure: mmHg, inHg, bar, hPa, PSI
  • Temperature: Fahrenheit, Celsius, Kelvin, Rankine
  • Time: second, minute, millisecond, microsecond, nanosecond, picosecond
  • Velocity: m/s, km/h, ft/s, mph, knots
  • Weight: grain, ounce, gram, pound, kilogram, newton

Calculation Engines

Choose between different calculation engines, or build your own. Included engines:

Engine Name Speed Dependencies Description
rk4_engine Baseline (1x) None, default Runge-Kutta 4th-order integration
euler_engine 0.5x (slower) None Euler 1st-order integration
verlet_engine 0.7x (slower) None Verlet 2nd-order integration
cythonized_rk4_engine 50x (faster) [exts] Compiled Runge-Kutta 4th-order
cythonized_euler_engine 40x (faster) [exts] Compiled Euler integration
scipy_engine 10x (faster) scipy Advanced numerical methods

About project

The library provides trajectory calculation for ballistic projectiles launched by airguns, bows, firearms, artillery, etc.

The core point-mass (3DoF) ballistic model underlying this project was used on the earliest digital computers. Robert McCoy (author of Modern Exterior Ballistics) implemented one in BASIC. JBM published code in C. Nikolay Gekht ported that to C#, extended it with formulas from Bryan Litz's Applied Ballistics, and ported it to Go, while Alexandre Trofimov implemented a calculator in JavaScript.

This Python3 implementation has been expanded to support multiple ballistic coefficients and custom drag functions, such as those derived from Doppler radar data.

Contributors

This project exists thanks to all the people who contribute.

Special thanks to:

  • David Bookstaber - Ballistics Expert
    For help understanding and improving the functionality
  • Serhiy Yevtushenko - Applied Mathematician
    For helping in consultations, testing, and improving edge case compatibility
  • Nikolay Gekht
    For the source code in C# and GO-lang from which this project firstly was forked

RISK NOTICE

This library performs approximate simulations of complex physical processes. Therefore, the calculation results MUST NOT be considered as completely and reliably reflecting actual behavior of projectiles. While these results may be used for educational purpose, they must NOT be considered as reliable for the areas where incorrect calculation may cause making a wrong decision, financial harm, or can put a human life at risk.

THE CODE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE MATERIALS OR THE USE OR OTHER DEALINGS IN THE MATERIALS.

Project links

Data verified by PyPI on Aug 6, 2026
Data provided by the project maintainers, verified at the time the release was uploaded to PyPI.

Key dates

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  • Released:
Latest release

1 maintainer

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Credits

Author: o-murphy

GitHub Statistics

Data verified by PyPI on Aug 6, 2026
The GitHub source repository was provided by the project maintainers and verified by PyPI at the time of upload. Stars, forks, and open issues/PRs are derived from that repository and have not been independently verified.

Requires

Python >=3.11

Provides Extra

dev

Tags

py_ballisticcalc ballistics Cython ballistic calculator python python3

Classifiers

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