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L1 Weight Budget and Ballast Calculations

Motor Data: AeroTech H128W

Reload Specifications (from ThrustCurve)

Parameter Value Notes
Designation H128W White Lightning propellant
Motor Type Reload Requires RMS-29/180 casing
Diameter 29 mm Needs 29→38mm adapter
Length 194 mm
Total Weight 206 g Complete loaded motor
Propellant Weight 94 g Burns during flight
Average Thrust 128.0 N
Max Thrust 168.7 N
Total Impulse 172.9 N·s 95% H-class
Burn Time 1.3 s
Delay 14 s adjustable Drill to desired delay

Weight Breakdown

Component Weight Notes
Propellant grains 94 g Consumed during burn
Nozzle, liner, delay, seals ~112 g Reload kit non-propellant
Reload kit total 206 g As packaged

RMS-29/180 Hardware

Component Approx Weight Notes
Aluminum casing (tube) ~60 g 29mm × ~180mm
Forward closure ~25 g
Aft closure ~25 g
Hardware set total ~110 g Reusable

Weight Clarification

ThrustCurve's "Total Weight: 206g" is the complete assembled motor (casing + reload). This is what goes in the rocket.

Post-burn motor weight: 206g - 94g = 112g

L1 Configuration Mass Budget

Measured Weights

Item Mass Method
Rocket ready to fly (no motor) 1460 g Kitchen scale, includes:
- Airframe (shortened L1 config)
- Nose cone
- Fins
- Motor mount
- 48" main parachute (packed)
- Shock cord
- Nomex protector
- Rail buttons
- 29→38mm motor adapter

Motor Weight

Item Mass
H128W complete (pre-burn) 206 g
H128W post-burn (casing + hardware) 112 g

Pre-Flight Weight (No Ballast)

\[W_{rocket} + W_{motor} = 1460g + 206g = 1666g = \mathbf{1.67\ kg}\]

Tripoli 5:1 Thrust-to-Weight Rule

Requirement

Tripoli RSO (Range Safety Officer) requires:

\[\frac{\text{Average Thrust}}{\text{Liftoff Weight}} \geq 5:1\]

This ensures adequate velocity off the launch rail for stable flight.

Maximum Allowed Weight

\[W_{max} = \frac{F_{avg}}{5} = \frac{128\ N}{5} = 25.6\ N = \mathbf{2.61\ kg}\]

Current Status

Parameter Value Status
Current liftoff weight 1.67 kg ✓ Under limit
Maximum allowed 2.61 kg
Available margin 0.94 kg Room for ballast

Why Add Ballast?

Flight Altitude Concern

Lighter rocket = higher altitude = longer recovery walk.

For a certification flight:

  • Want predictable, moderate altitude
  • Want to see the rocket throughout flight
  • Want quick recovery (less walking)
  • Want to stay well within field boundaries

Target Weight

To fly conservatively low:

\[W_{target} \approx 2.5\ kg\]

This gives:

  • Thrust-to-weight ratio: \(\frac{128}{2.5 \times 9.81} = 5.2:1\)
  • Lower apogee than minimum weight config
  • Still meets 5:1 requirement

Ballast Calculation

Required Ballast Mass

\[W_{ballast} = W_{target} - W_{rocket} - W_{motor}$$ $$W_{ballast} = 2500g - 1460g - 206g = \mathbf{834g}\]

Ballast Options

Material Density Volume for 834g
Lead shot 11.3 g/cm³ 74 cm³
Steel shot 7.8 g/cm³ 107 cm³
Sand 1.6 g/cm³ 521 cm³
Steel bolts/nuts 7.8 g/cm³ 107 cm³

Ballast Placement

CG/CP Impact

Ballast location affects Center of Gravity!

  • Nose ballast: moves CG forward → more stable
  • Tail ballast: moves CG aft → less stable

Recommendation: Place ballast in or near nose cone to maintain/increase stability margin.

See Stability Calculations for CG/CP analysis with ballast.

Weight Summary Table

Configuration Pre-Flight Post-Burn
Rocket (no motor, no ballast) 1460 g 1460 g
+ Motor (H128W) +206 g +112 g
Minimum config 1666 g 1572 g
+ Ballast (target) +834 g +834 g
With ballast 2500 g 2406 g

OpenRocket Model vs Reality

Source Mass (no motor)
OpenRocket model 1096 g
Actual rocket 1460 g
Difference +364 g

The difference is from epoxy, paint, and hardware not fully accounted for in the model.

L1 Config Stability Warning

OpenRocket shows the L1 configuration has negative stability (-0.191 cal) with model mass.

CP (90.8 cm) is forward of CG (92.7 cm) - rocket would tumble!

Nose ballast is mandatory, not optional.

See OpenRocket Simulations for full analysis.

Action Items

  • [ ] Verify rocket weight measurement (re-weigh)
  • [ ] Confirm motor weight when received
  • [ ] Update OpenRocket with actual 1460g mass
  • [ ] Add nose ballast to achieve positive stability
  • [ ] Calculate required ballast for ≥1.5 caliber stability
  • [ ] Run flight sim to verify stability throughout flight
  • [ ] Source appropriate ballast material (lead shot recommended)

References