Project Bellerophon0 Backup Slides

Project Bellerophon1 Trajectory - Steering Law Function of time Defines the orientation of the launch vehicle bb brbr  2e  3e  1e

Project Bellerophon2 Model Analysis 5,616 possible combinations for each payload …… Launch Vehicle Stage 1Stage 2Stage 3Launch Method MaterialPropellant Ground Aircraft Balloon Cryogenic Storable Hybrid Solid Aluminum Steel Titanium

Project Bellerophon3 Historical Catastrophic Risk Pegasus Our Vehicles

Project Bellerophon4 Aircraft Steering Law – Parameter Optimization tb2 25% tb2 Ψ mid1 =5 deg Ψ mid2 =0 deg Ψ e2 To be optimized t climb 1st Stage: tangent law 2nd Stage: 3 linear sections

Project Bellerophon5 Definition of Eccentricity e = c/a a: Semi-Major Axis b: Semi-Minor Axis c: center to focus

Project Bellerophon6 Risk Assessment - Non-Catastrophic Failure Monte Carlo Histograms - 200g Payload 200g Periapsis Altitude Histogram; std = km, mean = km 200g Eccentricity Histogram; std = , mean = 0.438

Project Bellerophon7 Risk Assessment - Non-Catastrophic Failure Monte Carlo Histograms - 1kg Payload 1kg Periapsis Altitude Histogram; std = km, mean = km 1kg Eccentricity Histogram; std = , mean =

Project Bellerophon8 Risk Assessment - Non-Catastrophic Failure Monte Carlo Histograms - 5kg Payload 5kg Periapsis Altitude Histogram; std = km, mean = km 5kg Eccentricity Histogram; std = 0.050, mean = 0.445

Project Bellerophon9 Performance Characteristics g Payload

Project Bellerophon10 Performance Characteristics - 1 kg Payload

Project Bellerophon11 Performance Characteristics - 5 kg Payload

Project Bellerophon g Failure

Project Bellerophon13 1 kg Failure

Project Bellerophon14 John Tsohas’ Table 200 g Payload Stage m prop /(m i +m prop )  V/stage m stage /GLOMIsp 180.7%3,808 m/s (32%)70.11%352.2s %4,358 m/s (37%)27.87%309.3s %3,740 m/s (31%)2.02%309.3s 1 kg Payload %3,818 m/s (39%)70.48%352.2s 274.3%3,211 m/s (32%)25.97%309.3s 372.7%2,864 m/s (29%)3.55%309.3s 5 kg Payload 183%3,211 m/s (32%)78.95%352.2s % 3,963 m/s (39%)20.2%309.3s %2,978 m/s (29%)0.85%309.3s Saturn V Stagem prop /(m i +m prop )  V/stage m stage /GLOMIsp %75.83% s %16.28%421s %7.89%421s Ariane 5 ECA %71.81% s %24.00%434s %4.19%446s

Project Bellerophon15 John Tsohas’ Table II Payload Prop mass fraction – 3 rd stagePayload mass fractionPayload mass fraction (3rd Stage) 200 g %0.38% 1 kg %1.64% 5 kg %9.35% VehicleProp mass fraction – 3 rd stagePayload mass fractionPayload mass fraction (3rd Stage) Saturn V %49.6% Ariane %1.64%