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.

cythonization

Installation
- Latest stable
QuickStart
Documentation
Contributors
About project

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

Extreme 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.

Metadata

Release files for py-ballisticcalc.exts 3.1.0

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Source distribution (sdist)

Source distribution for py-ballisticcalc.exts 3.1.0
File	Size	Uploaded
py_ballisticcalc_exts-3.1.0.tar.gz	296.8 kB	Oct 10, 2026	Details

Built distributions (wheels)

Table of built distributions (wheels) for py-ballisticcalc.exts 3.1.0
File	Interpreter	ABI	Platform	Reset
py_ballisticcalc_exts-3.1.0-cp315-cp315t-win_arm64.whl 914.8 kB Oct 10, 2026	CPython 3.15	CPython 3.15 free-threading	Windows ARM64	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315t-win_amd64.whl 768.4 kB Oct 10, 2026	CPython 3.15	CPython 3.15 free-threading	Windows x86-64	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315t-win32.whl 737.4 kB Oct 10, 2026	CPython 3.15	CPython 3.15 free-threading	Windows x86-32	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315t-musllinux_1_2_x86_64.whl 1.8 MB Oct 10, 2026	CPython 3.15	CPython 3.15 free-threading	Linux musl 1.2+ x86-64	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315t-musllinux_1_2_i686.whl 1.9 MB Oct 10, 2026	CPython 3.15	CPython 3.15 free-threading	Linux musl 1.2+ x86-32	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315t-musllinux_1_2_armv7l.whl 1.6 MB Oct 10, 2026	CPython 3.15	CPython 3.15 free-threading	Linux musl 1.2+ ARMv7l	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315t-musllinux_1_2_aarch64.whl 1.7 MB Oct 10, 2026	CPython 3.15	CPython 3.15 free-threading	Linux musl 1.2+ ARM64	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315t-manylinux_2_31_armv7l.whl 712.0 kB Oct 10, 2026	CPython 3.15	CPython 3.15 free-threading	Linux glibc 2.31+ ARMv7l	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315t-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 776.0 kB Oct 10, 2026	CPython 3.15	CPython 3.15 free-threading	Linux glibc 2.24+ x86-64, Linux glibc 2.28+ x86-64	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315t-manylinux_2_24_i686.manylinux_2_28_i686.whl 777.8 kB Oct 10, 2026	CPython 3.15	CPython 3.15 free-threading	Linux glibc 2.28+ x86-32, Linux glibc 2.24+ x86-32	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315t-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 753.1 kB Oct 10, 2026	CPython 3.15	CPython 3.15 free-threading	Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315t-macosx_11_0_arm64.whl 730.6 kB Oct 10, 2026	CPython 3.15	CPython 3.15 free-threading	macOS 11.0+ ARM64	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315t-macosx_10_15_x86_64.whl 744.2 kB Oct 10, 2026	CPython 3.15	CPython 3.15 free-threading	macOS 10.15+ x86-64	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315t-macosx_10_15_universal2.whl 1.2 MB Oct 10, 2026	CPython 3.15	CPython 3.15 free-threading	macOS 10.15+ universal2 (ARM64, x86-64)	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315-pyemscripten_2026_5_wasm32.whl 511.2 kB Oct 10, 2026	CPython 3.15	CPython 3.15	PyEmscripten 2026.5+ WebAssembly	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315-android_24_x86_64.whl 1.2 MB Oct 10, 2026	CPython 3.15	CPython 3.15	Android API level 24+ x86-64	Details
py_ballisticcalc_exts-3.1.0-cp315-cp315-android_24_arm64_v8a.whl 1.2 MB Oct 10, 2026	CPython 3.15	CPython 3.15	Android API level 24+ ARM64 v8a	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314t-win_arm64.whl 917.8 kB Oct 10, 2026	CPython 3.14	CPython 3.14 free-threading	Windows ARM64	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314t-win_amd64.whl 771.3 kB Oct 10, 2026	CPython 3.14	CPython 3.14 free-threading	Windows x86-64	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314t-win32.whl 739.0 kB Oct 10, 2026	CPython 3.14	CPython 3.14 free-threading	Windows x86-32	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314t-musllinux_1_2_x86_64.whl 1.8 MB Oct 10, 2026	CPython 3.14	CPython 3.14 free-threading	Linux musl 1.2+ x86-64	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314t-musllinux_1_2_i686.whl 2.0 MB Oct 10, 2026	CPython 3.14	CPython 3.14 free-threading	Linux musl 1.2+ x86-32	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314t-musllinux_1_2_armv7l.whl 1.5 MB Oct 10, 2026	CPython 3.14	CPython 3.14 free-threading	Linux musl 1.2+ ARMv7l	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314t-musllinux_1_2_aarch64.whl 1.7 MB Oct 10, 2026	CPython 3.14	CPython 3.14 free-threading	Linux musl 1.2+ ARM64	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314t-manylinux_2_31_armv7l.whl 687.3 kB Oct 10, 2026	CPython 3.14	CPython 3.14 free-threading	Linux glibc 2.31+ ARMv7l	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314t-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 776.9 kB Oct 10, 2026	CPython 3.14	CPython 3.14 free-threading	Linux glibc 2.24+ x86-64, Linux glibc 2.28+ x86-64	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314t-manylinux_2_24_i686.manylinux_2_28_i686.whl 819.7 kB Oct 10, 2026	CPython 3.14	CPython 3.14 free-threading	Linux glibc 2.24+ x86-32, Linux glibc 2.28+ x86-32	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314t-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 752.3 kB Oct 10, 2026	CPython 3.14	CPython 3.14 free-threading	Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314t-macosx_11_0_arm64.whl 732.4 kB Oct 10, 2026	CPython 3.14	CPython 3.14 free-threading	macOS 11.0+ ARM64	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314t-macosx_10_15_x86_64.whl 747.5 kB Oct 10, 2026	CPython 3.14	CPython 3.14 free-threading	macOS 10.15+ x86-64	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314t-macosx_10_15_universal2.whl 1.2 MB Oct 10, 2026	CPython 3.14	CPython 3.14 free-threading	macOS 10.15+ universal2 (ARM64, x86-64)	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314-pyemscripten_2026_0_wasm32.whl 511.1 kB Oct 10, 2026	CPython 3.14	CPython 3.14	PyEmscripten 2026.0+ WebAssembly	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314-android_24_x86_64.whl 1.2 MB Oct 10, 2026	CPython 3.14	CPython 3.14	Android API level 24+ x86-64	Details
py_ballisticcalc_exts-3.1.0-cp314-cp314-android_24_arm64_v8a.whl 1.2 MB Oct 10, 2026	CPython 3.14	CPython 3.14	Android API level 24+ ARM64 v8a	Details
py_ballisticcalc_exts-3.1.0-cp313-cp313-pyemscripten_2025_0_wasm32.whl 509.9 kB Oct 10, 2026	CPython 3.13	CPython 3.13	PyEmscripten 2025.0+ WebAssembly	Details
py_ballisticcalc_exts-3.1.0-cp313-cp313-android_24_x86_64.whl 1.2 MB Oct 10, 2026	CPython 3.13	CPython 3.13	Android API level 24+ x86-64	Details
py_ballisticcalc_exts-3.1.0-cp313-cp313-android_24_arm64_v8a.whl 1.2 MB Oct 10, 2026	CPython 3.13	CPython 3.13	Android API level 24+ ARM64 v8a	Details
py_ballisticcalc_exts-3.1.0-cp312-abi3-win_arm64.whl 883.2 kB Oct 10, 2026	CPython 3.12	abi3	Windows ARM64	Details
py_ballisticcalc_exts-3.1.0-cp312-abi3-win_amd64.whl 742.4 kB Oct 10, 2026	CPython 3.12	abi3	Windows x86-64	Details
py_ballisticcalc_exts-3.1.0-cp312-abi3-win32.whl 713.0 kB Oct 10, 2026	CPython 3.12	abi3	Windows x86-32	Details
py_ballisticcalc_exts-3.1.0-cp312-abi3-musllinux_1_2_x86_64.whl 1.8 MB Oct 10, 2026	CPython 3.12	abi3	Linux musl 1.2+ x86-64	Details
py_ballisticcalc_exts-3.1.0-cp312-abi3-musllinux_1_2_i686.whl 1.9 MB Oct 10, 2026	CPython 3.12	abi3	Linux musl 1.2+ x86-32	Details
py_ballisticcalc_exts-3.1.0-cp312-abi3-musllinux_1_2_armv7l.whl 1.5 MB Oct 10, 2026	CPython 3.12	abi3	Linux musl 1.2+ ARMv7l	Details
py_ballisticcalc_exts-3.1.0-cp312-abi3-musllinux_1_2_aarch64.whl 1.7 MB Oct 10, 2026	CPython 3.12	abi3	Linux musl 1.2+ ARM64	Details
py_ballisticcalc_exts-3.1.0-cp312-abi3-manylinux_2_31_armv7l.whl 667.9 kB Oct 10, 2026	CPython 3.12	abi3	Linux glibc 2.31+ ARMv7l	Details
py_ballisticcalc_exts-3.1.0-cp312-abi3-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 746.6 kB Oct 10, 2026	CPython 3.12	abi3	Linux glibc 2.24+ x86-64, Linux glibc 2.28+ x86-64	Details
py_ballisticcalc_exts-3.1.0-cp312-abi3-manylinux_2_24_i686.manylinux_2_28_i686.whl 793.8 kB Oct 10, 2026	CPython 3.12	abi3	Linux glibc 2.24+ x86-32, Linux glibc 2.28+ x86-32	Details
py_ballisticcalc_exts-3.1.0-cp312-abi3-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 719.1 kB Oct 10, 2026	CPython 3.12	abi3	Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64	Details
py_ballisticcalc_exts-3.1.0-cp312-abi3-macosx_11_0_arm64.whl 702.9 kB Oct 10, 2026	CPython 3.12	abi3	macOS 11.0+ ARM64	Details
py_ballisticcalc_exts-3.1.0-cp312-abi3-macosx_10_13_x86_64.whl 720.1 kB Oct 10, 2026	CPython 3.12	abi3	macOS 10.13+ x86-64	Details
py_ballisticcalc_exts-3.1.0-cp312-abi3-macosx_10_13_universal2.whl 1.1 MB Oct 10, 2026	CPython 3.12	abi3	macOS 10.13+ universal2 (ARM64, x86-64)	Details

Total release size: 54.0 MB

Release files / py_ballisticcalc_exts-3.1.0.tar.gz

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Release files / py_ballisticcalc_exts-3.1.0-cp312-abi3-macosx_11_0_arm64.whl

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Publishing platform: GitHub Actions
Publishing repository: github.com/o-murphy/py-ballisticcalc
Publishing commit: github.com/o-murphy/py-ballisticcalc/tree/4139198dfcb9e0abba55799069a7d0a26f0dfd0e

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Release files / py_ballisticcalc_exts-3.1.0-cp312-abi3-macosx_10_13_x86_64.whl

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Release files / py_ballisticcalc_exts-3.1.0-cp312-abi3-macosx_10_13_universal2.whl

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Uploaded via	`twine/7.0.0 CPython/3.13.14`

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Publishing repository: github.com/o-murphy/py-ballisticcalc
Publishing commit: github.com/o-murphy/py-ballisticcalc/tree/4139198dfcb9e0abba55799069a7d0a26f0dfd0e

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