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Project focuses on delivering takeoff mass to aircraft team through booster calculations using Excel. Detailed stage and motor database for booster design. Gravity and drag losses neglected.
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Mission Design Requirements First priority is to deliver takeoff mass to aircraft team.
Preliminary Booster Calculations Created Excel Spreadsheet Database of rocket motors from trade studies Losses neglected: Gravity Drag Calculates: DV produced by each stage upper stage structural mass booster takeoff mass Max G-Force during launch Input Variables: Stage Specifications Payload Mass
Booster Design • 3 stage Booster • 1st stage: ATK Orion 50XL (Solid) • 2nd stage: ATK Star 31 (Solid) • 3rd stage: SpaceX Kestrel 2 (LOX-RP1 liquid)
Booster Design 3rd Stage SpaceX Kestrel 2 Fairing 2nd Stage ATK Star31 1st Stage ATK Orion50XL Interstages
Comparison to Pegasus • Payload for AirLaunch mission is 120kg fuel and 30kg satellite • Monopropellant hydrazine thruster for upper stage trajectory error correction
Comparison to Pegasus Pegasus AirLaunch
Gravity Turn Simulations: • Used Joe Mueller’s Matlab code to simulate gravity turn • Parameters that can be varied in code: • Flight Path Angle (FPA) • Height at which ignition 3 starts • Mass of Stage 3 Propellant Launch Flight Path Angle: 87.97 Deg.
Launch Vehicle (LV) initial launch conditions: Launch Vehicle (LV) C-17 carrier aircraft LV initial launch conditions: t = 0 seconds V ≈ 0 m/s H ≈ 12 km FPA ≈ 88° FPA
Launch trajectory: • Simulations produced the following direct launch trajectory to reach ISS: Targeted ISS perigee altitude of 334 km
3D Orbit of Payload: • Matlab simulation produced the following orbit: Payload’s Low Earth Orbit Inclination: 51°
Detailed orbit simulations: Satellite Tool Kit (STK) orbit simulations: