High-Power Certification Calculator
Plan your NAR/TRA Level 1, 2, or 3 certification flight. Predicts altitude, velocity, and Mach number from motor and rocket specifications.
Inputs
Results
Predicted apogee (ft)
742
How to Use This Calculator
- Enter Rocket dry mass (kg), Motor total impulse (N-s), and Motor average thrust (N).
- Set Motor loaded mass (kg), Body diameter (mm), and Drag coefficient (Cd).
- Review the Predicted apogee (ft) result.
- Use Predicted apogee (m) and Burnout velocity (m/s) to inform your decision.
How the result changes with Rocket dry mass (kg)
| Rocket dry mass (kg) | Predicted apogee (ft) |
|---|---|
| 5.09 | 211 |
| 18 | 0 |
| 33 | 0 |
| 45 | 0 |
What each input means
- Rocket dry mass (kg)
- Rocket mass without motor (airframe, recovery, electronics).
- Motor total impulse (N-s)
- Total impulse from the motor data sheet. H=160-320, I=320-640, J=640-1280, K=1280-2560.
- Motor average thrust (N)
- Average thrust from the motor data sheet.
- Motor loaded mass (kg)
- Total motor mass including propellant and casing.
- Body diameter (mm)
- Rocket body tube outside diameter.
- Drag coefficient (Cd)
- Estimated total drag coefficient. Typical: 0.4-0.7. Use the Drag Coefficient calculator for a better estimate.
What each result means
- Predicted apogee (ft)
- Estimated peak altitude above ground level.
- Predicted apogee (m)
- Peak altitude in meters.
- Burnout velocity (m/s)
- Rocket speed at motor burnout.
- Max Mach number
- Peak velocity as fraction of speed of sound. Stay below Mach 0.8 to avoid transonic effects.
- Thrust-to-weight ratio
- Motor average thrust divided by liftoff weight. Minimum 5:1.
- Burn time (s)
- Motor burn duration (total impulse / average thrust).
- Altitude at burnout (m)
- Height gained during powered ascent.
- Coast altitude gain (m)
- Additional altitude gained after motor burnout during unpowered coast.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersRocket dry mass (kg) = 3, Motor total impulse (N-s) = 250, Motor average thrust (N) = 120, Motor loaded mass (kg) = 0.3 = 6 input(s) provided
- Calculate Predicted apogeePredicted apogee = totalAltitudeM * 3.28084742 = 742
- Calculate Predicted apogeePredicted apogee = burnoutAltitudeM + coastAltitudeM226 = 226
- Calculate Burnout velocityBurnout velocity57.3 = 57.3
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