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Project Bellerophon0 Backup Slides
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Project Bellerophon1 Trajectory - Steering Law Function of time Defines the orientation of the launch vehicle bb brbr 2e 3e 1e
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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
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Project Bellerophon3 Historical Catastrophic Risk Pegasus Our Vehicles
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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
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Project Bellerophon5 Definition of Eccentricity e = c/a a: Semi-Major Axis b: Semi-Minor Axis c: center to focus
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Project Bellerophon6 Risk Assessment - Non-Catastrophic Failure Monte Carlo Histograms - 200g Payload 200g Periapsis Altitude Histogram; std = 21.803 km, mean = 437.44 km 200g Eccentricity Histogram; std = 0.0467, mean = 0.438
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Project Bellerophon7 Risk Assessment - Non-Catastrophic Failure Monte Carlo Histograms - 1kg Payload 1kg Periapsis Altitude Histogram; std = 15.774 km, mean = 367.727 km 1kg Eccentricity Histogram; std = 0.041094, mean = 0.173289
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Project Bellerophon8 Risk Assessment - Non-Catastrophic Failure Monte Carlo Histograms - 5kg Payload 5kg Periapsis Altitude Histogram; std = 20.215 km, mean = 516.546 km 5kg Eccentricity Histogram; std = 0.050, mean = 0.445
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Project Bellerophon9 Performance Characteristics - 200 g Payload
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Project Bellerophon10 Performance Characteristics - 1 kg Payload
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Project Bellerophon11 Performance Characteristics - 5 kg Payload
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Project Bellerophon12 200 g Failure
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Project Bellerophon13 1 kg Failure
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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 278.69%4,358 m/s (37%)27.87%309.3s 371.57%3,740 m/s (31%)2.02%309.3s 1 kg Payload 177.11%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 279.44% 3,963 m/s (39%)20.2%309.3s 371.76%2,978 m/s (29%)0.85%309.3s Saturn V Stagem prop /(m i +m prop ) V/stage m stage /GLOMIsp 194.09%75.83%265-310s 292.04%16.28%421s 344.81%7.89%421s Ariane 5 ECA 186.28%71.81%250-275s 293.17%24.00%434s 3 44.31%4.19%446s
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Project Bellerophon15 John Tsohas’ Table II Payload Prop mass fraction – 3 rd stagePayload mass fractionPayload mass fraction (3rd Stage) 200 g0.00380.0077%0.38% 1 kg0.0160.05733%1.64% 5 kg0.09350.07949%9.35% VehicleProp mass fraction – 3 rd stagePayload mass fractionPayload mass fraction (3rd Stage) Saturn V0.03543.91%49.6% Ariane 40.01862.06%1.64%
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