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Backup Slides. Trajectory - Steering Law. Function of time Defines the orientation of the launch vehicle. b r. 1e. 2e. b . 3e. Model Analysis. Stage 1. Stage 2. Stage 3. Launch Method. …. …. Ground. Material. Propellant. Aircraft. Aluminum. Cryogenic. Balloon. Steel.
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Backup Slides Project Bellerophon
Trajectory - Steering Law • Function of time • Defines the orientation of the launch vehicle br 1e 2e b 3e Project Bellerophon
Model Analysis Stage 1 Stage 2 Stage 3 Launch Method … … Ground Material Propellant Aircraft Aluminum Cryogenic Balloon Steel Storable Titanium Hybrid Solid Launch Vehicle 5,616 possible combinations for each payload Project Bellerophon
Historical Catastrophic Risk Pegasus Our Vehicles Project Bellerophon
Aircraft Steering Law – Parameter Optimization To be optimized 25% tb2 25% tb2 Ψmid1=5 deg Ψmid2=0 deg Ψe2 tclimb tb2 1st Stage: tangent law 2nd Stage: 3 linear sections Project Bellerophon
Definition of Eccentricity b: Semi-Minor Axis c: center to focus a: Semi-Major Axis • e = c/a Project Bellerophon
Risk Assessment - Non-Catastrophic FailureMonte 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 Project Bellerophon
Risk Assessment - Non-Catastrophic FailureMonte 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 Project Bellerophon
Risk Assessment - Non-Catastrophic FailureMonte 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 Project Bellerophon
Performance Characteristics - 200 g Payload Project Bellerophon
Performance Characteristics - 1 kg Payload Project Bellerophon
Performance Characteristics - 5 kg Payload Project Bellerophon
200 g Failure Project Bellerophon
1 kg Failure Project Bellerophon
John Tsohas’ Table Project Bellerophon
John Tsohas’ Table II Project Bellerophon