What Is the Atmospheric Drag & Ballistic Coefficient Calculator?
The ballistic coefficient β is a key parameter in flight dynamics and space vehicle re-entry representing mass per unit drag area.
How Does the Atmospheric Drag & Ballistic Coefficient Calculator Work?
Divides mass by the product of drag coefficient and frontal area.
Calculates terminal velocity where aerodynamic drag equals gravitational weight.
Atmospheric Drag & Ballistic Coefficient Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
β = m / (Cd · A), v_t = √[ (2 · m · g) / (ρ · Cd · A) ] = √[ (2 · g · β) / ρ ]
Definition of ballistic coefficient and aerodynamic drag-gravity force equilibrium.
How to Use the Atmospheric Drag & Ballistic Coefficient Calculator
- Enter mass, drag coefficient, and frontal area.
- Specify ambient air density.
Step-by-Step Example Calculation
Re-entry Capsule Descent
Input Values:
mass:1000
dragCoefficient:0.5
frontalArea:2
airDensity:1.225
Worked Steps: 1-tonne payload with 1.0 m² drag area yielding β = 1000 kg/m².
Understanding Your Result
Higher ballistic coefficient results in faster terminal velocity and steeper re-entry trajectory.
Factors That Affect the Result
- Body shaping (streamlining reduces Cd, raising β).
- Altitude (air density decreases exponentially with altitude).
When Should You Use This Calculator?
- Spacecraft re-entry trajectory modeling, meteor entry analysis, and exterior ballistics.
Assumptions & Limitations
- Assumes constant subsonic/supersonic Cd and unpowered vertical fall.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard classical exterior ballistics formula.