Ballistic Calculator

Ballistic Trajectory Equation:

\[ y = x \cdot \tan(\theta) - \frac{g \cdot x^2}{2 \cdot v_0^2 \cdot \cos^2(\theta)} \]

Velocity (fps):

fps

BC (Ballistic Coefficient):

unitless

Angle (degrees):

Distance (yards):

yards

Projectile Drop:

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1. What is Ballistic Trajectory?

Ballistic trajectory refers to the path a projectile follows under the action of gravity, initial velocity, and other factors. It's a parabolic path influenced by the projectile's ballistic coefficient, velocity, and launch angle.

2. How Does the Calculator Work?

The calculator uses the ballistic trajectory equation:

\[ y = x \cdot \tan(\theta) - \frac{g \cdot x^2}{2 \cdot v_0^2 \cdot \cos^2(\theta)} \]

Where:

\( y \) — Vertical position (drop)
\( x \) — Horizontal distance
\( \theta \) — Launch angle
\( v_0 \) — Initial velocity
\( g \) — Acceleration due to gravity (32.174 ft/s²)

Explanation: The equation calculates the vertical position of a projectile at a given distance, accounting for gravity's effect on the trajectory.

3. Importance of Ballistic Calculation

Details: Accurate ballistic calculations are essential for long-range shooting, military applications, and sports shooting. They help predict where a projectile will land based on various factors.

4. Using the Calculator

Tips: Enter velocity in feet per second (fps), ballistic coefficient (typically between 0.1-1.0), launch angle in degrees, and distance in yards. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is ballistic coefficient (BC)?
A: BC is a measure of a projectile's ability to overcome air resistance compared to a standard projectile. Higher BC means less drag.

Q2: Why does angle affect trajectory?
A: Launch angle determines the vertical and horizontal components of velocity, which directly affects the projectile's range and maximum height.

Q3: What factors are not considered in this simplified model?
A: This model doesn't account for air resistance, wind, Coriolis effect, temperature, or humidity, which affect real-world ballistics.

Q4: How accurate is this calculator?
A: This provides a basic trajectory estimation. For precision shooting, more advanced calculators that account for environmental factors are recommended.

Q5: Can this be used for different units?
A: This calculator uses feet, yards, and fps. For metric units, conversions would be needed before input.