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ballistics-engine

High-performance ballistics trajectory engine with professional physics modeling.

Features

  • Professional-grade trajectory calculations with multiple drag models (G1, G7, G8)
  • Advanced physics including wind effects and atmospheric modeling
  • Fast Rust implementation with Python bindings via PyO3
  • Imperial units API (grains, fps, yards, inches) with automatic metric conversion

Installation

pip install ballistics-engine

Quick Start

from ballistics_engine import BallisticInputs, TrajectorySolver, WindConditions, AtmosphericConditions, DragModel

# Create ballistic inputs (all imperial units)
inputs = BallisticInputs(
    bc=0.505,                        # G7 BC
    bullet_weight_grains=168,        # grains
    muzzle_velocity_fps=2650,        # feet per second
    bullet_diameter_inches=0.308,    # inches
    bullet_length_inches=1.24,       # inches
    sight_height_inches=1.5,         # inches above bore
    zero_distance_yards=100,         # yards
    twist_rate_inches=11.25,         # inches per turn
)
inputs.drag_model = DragModel.g7()  # Use G7 drag model

# Create wind conditions (optional)
wind = WindConditions(
    speed_mph=10,                    # mph
    direction_degrees=90,            # degrees (0=headwind, 90=from right)
)

# Create atmospheric conditions (optional). Pass the readings you have and leave
# the rest out: a value you pass flies exactly as given.
atmosphere = AtmosphericConditions(
    temperature_f=72,                # Fahrenheit, a reading
    pressure_inhg=29.31,             # inHg, absolute station pressure (a reading)
    humidity_percent=50,             # percent
    altitude_feet=600,               # feet
)

# Solve trajectory
solver = TrajectorySolver(inputs, wind=wind, atmosphere=atmosphere)
result = solver.solve()

# Print results
print(f"Max range: {result.max_range_yards:.1f} yards")
print(f"Time of flight: {result.time_of_flight:.2f} seconds")
print(f"Impact velocity: {result.impact_velocity_fps:.1f} fps")
print(f"Impact energy: {result.impact_energy_ftlbs:.1f} ft-lbs")

# Iterate through trajectory points
for point in result.points:
    print(f"Time: {point.time:.2f}s, X: {point.x:.1f}yd, Y: {point.y:.3f}yd, V: {point.velocity_fps:.1f}fps")

Units

The Python API uses imperial units for convenience:

  • Mass: grains (gr)
  • Velocity: feet per second (fps)
  • Distance: yards (yd) and inches (in)
  • Pressure: inches of mercury (inHg)
  • Temperature: Fahrenheit (°F)
  • Wind speed: miles per hour (mph)

All conversions to metric (used internally by the Rust engine) are handled automatically.

API Reference

BallisticInputs

Main input parameters for trajectory calculation.

Parameters:

  • bc (float): Ballistic coefficient
  • bullet_weight_grains (float): Bullet mass in grains
  • muzzle_velocity_fps (float): Muzzle velocity in fps
  • bullet_diameter_inches (float): Bullet diameter in inches
  • bullet_length_inches (float): Bullet length in inches
  • sight_height_inches (float): Sight height above bore in inches
  • zero_distance_yards (float): Zero distance in yards
  • shooting_angle_degrees (float): Uphill/downhill angle in degrees
  • twist_rate_inches (float): Barrel twist rate (inches per turn)
  • is_right_twist (bool): True for right-hand twist (default: True)

WindConditions

Wind parameters.

Parameters:

  • speed_mph (float): Wind speed in mph (default: 0)
  • direction_degrees (float): Wind direction in degrees (0=headwind, 90=from right, default: 0)

AtmosphericConditions

Atmospheric parameters at the shooter.

Parameters:

  • temperature_f (float or None): Temperature in Fahrenheit. Omit it, or pass None, when you have no reading.
  • pressure_inhg (float or None): Absolute station pressure in inHg, not a sea-level-corrected altimeter setting. Omit it, or pass None, when you have no reading.
  • humidity_percent (float): Relative humidity percentage (default: 50)
  • altitude_feet (float): Altitude in feet (default: 0)

Readings and omitted values. A temperature or pressure you pass is a reading and flies exactly as given, whatever its value and whatever the altitude. A real 59 °F or 29.92 inHg at 5000 ft flies as 59 °F or 29.92 inHg. A value you leave out reads back as 59 / 29.92 but is not a reading: above 1 m of altitude it flies the ICAO standard air at altitude_feet (about 41 °F and 24.9 inHg at 5000 ft).

Before engine 0.49.0 the binding could not tell the two apart. At any altitude above 1 m, a temperature within 0.1 °C of 15 °C (58.82 to 59.18 °F) or a pressure within 0.5 hPa of 1013.25 hPa (about 29.906 to 29.936 inHg) was treated as omitted and replaced with standard air, even when it was a real reading.

temperature_supplied and pressure_supplied (bool) record which values are readings. The constructor sets each one when you pass its value, and assigning temperature_f or pressure_inhg sets it too. You can also set them directly. For example, a caller that always fills in a default can pass it and then clear the flag:

atmo = AtmosphericConditions(temperature_f=59.0, pressure_inhg=form_pressure, altitude_feet=5000)
atmo.temperature_supplied = False   # 59 was our placeholder, not a reading

Inputs dicts (auto_zero_inputs, run_monte_carlo, monte_carlo_parallel)

When these functions take the atmosphere from the inputs dict, temperature (°C) and pressure (hPa, absolute) follow the same rule. A key that is present and not None is a reading. For monte_carlo_parallel, a value sampled per run through param_names is also a reading. A missing key keeps the legacy rule. The optional bool keys temperature_supplied and pressure_supplied override this, for a caller that always sends every key: {"pressure": 1013.25, "pressure_supplied": False} flies the omitted rule, not 1013.25 hPa. A Monte Carlo sample keeps the base dict's presence.

calculate_zero_angle(inputs, yards, ..., temperature_f=None, pressure_inhg=None, ...) follows the same rule for its keyword arguments.

TrajectorySolver

Trajectory calculation engine.

Methods:

  • __init__(inputs, wind=None, atmosphere=None): Create solver with inputs
  • solve(): Calculate trajectory, returns TrajectoryResult

TrajectoryResult

Trajectory calculation results.

Properties:

  • max_range_yards (float): Maximum range in yards
  • max_height_yards (float): Maximum height in yards
  • time_of_flight (float): Total flight time in seconds
  • impact_velocity_fps (float): Impact velocity in fps
  • impact_energy_ftlbs (float): Impact energy in ft-lbs
  • points (list[TrajectoryPoint]): List of trajectory points

TrajectoryPoint

Individual point along trajectory.

Properties:

  • time (float): Time in seconds
  • x (float): Downrange distance in yards
  • y (float): Vertical position in yards (relative to line of sight)
  • z (float): Lateral position in yards
  • velocity_fps (float): Velocity in fps
  • energy_ftlbs (float): Kinetic energy in ft-lbs

DragModel

Drag model selection.

Static methods:

  • DragModel.g1(): G1 drag model (flat base)
  • DragModel.g7(): G7 drag model (boat tail)
  • DragModel.g8(): G8 drag model (boat tail with meplat)

bridge_call(request_json: str) -> str

The engine's versioned JSON command bridge: one request envelope in, one response envelope out, both as strings. It is a transport onto the engine's own service layer, so it reaches corrections.bc5d_table_path and atmosphere.pressure_reference, which the typed classes above cannot carry at all. It is also the safer route to effects.wind_shear_model: the inputs dict has accepted wind_shear_model for some time, but it takes any string and silently resolves an unrecognised one (to the power law in TrajectorySolver, to no shear in fast_integrate), where the bridge validates it and names the offending field.

In the inputs dict, enable_wind_shear without a wind_shear_model means the power law ("power_law", the CLI's default model); with shear off the model defaults to "none". A model you name, "none" included, is used exactly as given. BallisticInputs.wind_shear_model reads back the resolved value.

import json
from ballistics_engine import bridge_call

response = json.loads(bridge_call(json.dumps({
    "api_version": 1,
    "command": "solve",
    "request": {
        "schema_version": 1,
        "projectile": {"mass_kg": 0.01134, "diameter_m": 0.00782, "length_m": 0.0338,
                       "drag_model": "G7", "ballistic_coefficient": 0.243},
        "rifle": {"muzzle_velocity_mps": 823.0, "sight_height_m": 0.0381},
        "shot": {"max_range_m": 1000.0, "zero_distance_m": 100.0},
        "atmosphere": {}, "wind": {"speed_mps": 4.47, "direction_from_rad": 1.5708},
        "solver": {}, "effects": {"wind_shear_model": "logarithmic"},
        "sampling": {"interval_m": 100.0},
    },
})))

if response["ok"]:
    print(response["result"]["samples"][-1])
else:
    print(response["error"]["code"], response["error"]["message"])

Unlike the rest of this API, failures come back inside the returned JSON rather than as a Python exception — a bad envelope, an unknown command or an invalid field all return a well-formed {"ok": false, "api_version": 1, "engine_version": "...", "error": {"code": ..., "message": ...}} document. The wrapper returns the string verbatim; parsing and error handling are the caller's.

Unlike the classes above, the bridge speaks SI units throughout (kg, m, m/s, K, Pa, radians), because it is the engine's own wire contract.

Ask meta.capabilities for the command list this wheel can actually run — it is build-dependent, and this wheel links the engine with default features off, so the PDF- and profile-import-gated commands are not compiled in.

License

Dual licensed under MIT or Apache-2.0.

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