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This release is a pre-release and may not be stable for production use.

BallisticCalculator

The compiled extensions include cython+dopri, a Dormand--Prince 5(4) adaptive engine with SciPy RK45-style controller semantics. The existing Cash--Karp engine remains available with its compatibility controller.

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
python+rk4 Baseline (1x) None, default Runge-Kutta 4th-order integration
python+euler 0.5x (slower) None Euler 1st-order integration
python+verlet 0.7x (slower) None Verlet 2nd-order integration
cython+rk4 50x (faster) [exts] Compiled Runge-Kutta 4th-order
cython+euler 40x (faster) [exts] Compiled Euler integration
scipy+rk45 (also scipy+rk23, scipy+dop853, scipy+radau, scipy+bdf, scipy+lsoda) 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.

Release files for py-ballisticcalc.exts 3.0.0rc3

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py_ballisticcalc_exts-3.0.0rc3-cp311-abi3-musllinux_1_2_x86_64.whl CPython 3.11 abi3 Linux musl 1.2+ x86-64 Details
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Release files / py_ballisticcalc_exts-3.0.0rc3-cp311-abi3-macosx_10_9_universal2.whl

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Tags CPython 3.11 abi3 macOS 10.9+ universal2 (ARM64, x86-64)
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Uploaded via twine/7.0.0 CPython/3.13.14

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Signed by GitHub Actions, verified by PyPI on Sep 25, 2026.

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This release

3.0.0rc3 This release

35 release files

2.3.0

29 release files

2.2.9

85 release files

2.2.7

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2.2.6

85 release files

2.2.5

85 release files

2.2.3

85 release files

2.2.2

43 release files

2.1.0

56 release files

2.0.4

51 release files

2.0.3

10 release files

2.0.2

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2.0.1

10 release files

1.1.4

10 release files

1.1.3

10 release files

1.1.2

10 release files

1.1.0

10 release files

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