Introduction AAE 450 – Spring 2004 Project HOMER Humans Orbiting Mars for Exploration and Research Brady Kalb Spring 2004 AAE450: Slide 1 Homer Heavy Lift Launch Vehicle 2nd Stage 3rd Stage 57 m 89 m 44 m Chris Ulrich, Chris Krukowski, Frank Hankins, Nikolaus Ladisch, Marina Mazur, Matt Maier Spring 2004 AAE450: Slide 2 HOMER LAUNCH VEHICLES HEAVY LIFT LAUNCH VEHICLE MASS BREAKDOWN Initial Mass (kg) Final Mass (kg) Propellant Mass (kg) 1st Stage Main Core 2,940,000 2,680,000 465,000 2nd Stage Main Core 2,480,000 461,000 2,020,000 344,000 238,000 106,000 1,710,000 203,000 1,500,000 3rd Stage Strap-on Boosters Chris Ulrich, Chris Krukowski, Frank Hankins, Nikolaus Ladisch, Marina Mazur, Matt Maier Spring 2004 AAE450: Slide 3 CRV: Aerodynamic Stability alpha = alpha = alpha = alpha = alpha = alpha = alpha = alpha = alpha = alpha = alpha = alpha = alpha = alpha = alpha = Static Margin Mach 29.5 1 Equation used in Trim line calculations: 0.8 0.6 0.2 SM (%) Cm Cm0 CZ ( xMRC xCG ) C X ( zMRC zCG ) 0.4 0 -0.2 110.1365 115.1365 120.1365 125.1365 130.1365 135.1365 140.1365 145.1365 150.1365 155.1365 160.1365 165.1365 170.1365 175.1365 180.1365 -0.4 Front (1) -0.6 -0.8 -1 0 0.1 0.2 0.3 0.4 0.5 0.6 Xcg (delX/length) 0.7 0.8 0.9 1 Static Margin vs. Various Mach 150 Alpha=140 Alpha=145 Alpha=150 a = 144deg Static Margin (%) 100 50 Aft (0) 0 5 10 Rebecca Karnes Spring 2004 AAE450: Slide 4 15 Mach # 20 25 30 CRV: LES Sizing and Components Rocket Structure • Launch Escape Motor • Pitch Control Motor • Tower Jettison Motor Launch Escape Tower Boost Protective Cover Heather Dunn Spring 2004 AAE450: Slide 5 CRV: LES and Parachute Mass Parachute Recovery System Component Drogues Property Value Number Diameter (each) [m] Area (each) [m2] 2 5.5 23.5 Number Diameter (each) [m] Area (each) [m2] 3 33.6 888.0 Main Parachutes Launch Escape System Component Mass (kg) Launch Escape Tower 517 Launch Escape Motor 2132 Boost Protective Cover 430 Pitch Control Motor 23 Tower Jettison Motor 50 Total 3152 Heather Dunn Spring 2004 AAE450: Slide 6 Transport Vehicle Thrusting Mode after leaving Earth Devin Fitting, Dave Goedtel, Ben Toleman, Debanik Barua Spring 2004 AAE450: Slide 7 Transport Vehicle Storage view with airlock Devin Fitting, Dave Goedtel, Ben Toleman, Debanik Barua Spring 2004 AAE450: Slide 8 Transport Vehicle • Aerocapture Mode – Radiators retracted – Comm. Antenna Retracted – Vehicle collapsed Spring 2004 AAE450: Slide 9 Human Factor Mass Summary # of Items Unit Mass [kg/unit] Total Mass [kg] 1st Floor Total 34 - 1280 See Table D-2 for list 2nd Floor Total 20 - 1600 See Table D-3 for list 3rd Floor Total 27 - 3420 See Table D-4 for list 4th Floor Total 1 - 400 See Table D-5 for list Stored Items Total 22,500 - 16,900 Includes 11,600 kg of consumables See Table D-6 for list Other Items Total 4 - 12,700 Includes 11,800 of kg consumables See Table D-7 for list Installation Margin for Zero g - 0.4 14,500 Component Total 50,800 Total with 5% Growth 53,300 (HF Consumable Mass) 23,400 (HF Dry Mass) 29,900 Comments Pat Nelson, Steve Blaske, Theresa McGuigan, Wade McMillan Spring 2004 AAE450: Slide 10 Major Components Contained on the First Floor # of Items Unit Mass [kg/unit] Total Mass [kg] Bed 4 46 184 Washing Machine 1 100 100 Dryer 1 60 60 Desk 4 15 60 Chair 8 5 40 Shower 1 75 75 Sink 1 8 8 WCS 1 112 112 Multi-gym 1 200 200 Stepper 1 136 136 Treadmill 1 150 150 Gym Equipment 1 25 25 Table 1 15 15 Couch 1 45 45 TV 4 10 40 1st Floor Component Comments Waste Collection System Pat Nelson, Steve Blaske, Theresa McGuigan, Wade McMillan Spring 2004 AAE450: Slide 11 Major Components Contained on the Second Floor # of Items Unit Mass [kg/unit] Total Mass [kg] Microwave 2 35 70 Dishwasher 1 40 40 Sink 1 15 15 WCS 1 112 112 Small Sink 1 8 8 Med Suite 1 1000 1000 Bed 1 55 55 Desk 1 15 15 Table 1 15 15 Chairs 5 5 25 TV 4 10 40 Scientific Payload 1 200 200 2nd Floor Component Comments Waste Collection System Not Much! (i.e. biomass growth chamber, biogen water recycling) Pat Nelson, Steve Blaske, Theresa McGuigan, Wade McMillan Spring 2004 AAE450: Slide 12 Major Components Contained on the Third Floor # of Items Unit Mass [kg/unit] Total Mass [kg] Console 5 130 650 Table 2 15 30 Chair 7 5 35 Mainframe 2 200 400 Large TV 1 30 30 Work Table 1 20 20 TV 2 10 20 Airlock 1 400 400 WPA 2 658 1320 OGA 2 140 280 4BMS 2 120 240 3rd Floor Component Comments Includes chair for console Command TV Backup Unit Pat Nelson, Steve Blaske, Theresa McGuigan, Wade McMillan Spring 2004 AAE450: Slide 13 Stored Components Comments # of Items Unit Mass [kg/unit] Total Mass [kg] Food* 3600 2.3 8280 2nd Floor Cleaning Supplies* 900 0.25 230 Evenly divided between floors 4 5 20 2nd Floor Bathroom Supplies* 3600 0.05 180 1st and 2nd Backup Bathroom Bags 3600 0.25 900 1st and 2nd 4 1.8 8 1st Floor 3600 0.075 270 1st Floor Clothing 4 90 360 1st Floor Recreation Items 1 1000 1000 1st Floor Personal Items 4 50 200 1st Floor Vacuum 1 13 13 1st Floor Disposable Wipes* 3600 0.3 1080 2nd Floor Trash Bags* 3600 0.05 180 Evenly divided between floors 4 20 80 Includes diskettes, ziplocks, tape… (Evenly Divided between floors) Component Cooking Supplies Personal Hygiene Kit Hygiene Supplies* Operational Supplies Pat Nelson, Steve Blaske, Theresa McGuigan, Wade McMillan Spring 2004 AAE450: Slide 14 Stored Components (Continued) # of ItemsUnit Mass[kg/unit] Total Mass[kg] Restraints 1 100 100 For zero g environment Hand Tools 1 300 300 Primarily 3rd floor Test Equipment 1 500 500 3rd Floor Other Maintenance Equipment 1 1000 1000 3rd Floor Photography 1 120 120 1st Floor Fire Suppression 4 5 20 Evenly divided between floors EVA Tools 1 123 120 3rd and 4th Manuerving Unit 2 35 70 4th Floor EVA Suits 4 135 540 Primarily 4th Med Consumables* 1 500 500 2nd Floor Crew 4 70 280 Evenly divided between floors Water Tank Spares 1 329 329 Hab Exterior Waste Spare 1 56 56 3rd Floor Atmosphere Spare 1 130 130 3rd Floor Component Comments Pat Nelson, Steve Blaske, Theresa McGuigan, Wade McMillan Spring 2004 AAE450: Slide 15 Stored Components Major Components Contained on the Fourth Floor 4th Floor Component Airlock # of Items Unit Mass [kg/unit] Total Mass [kg] 1 400 400 Comments Primary Unit Other Components Component # of Items Unit Mass [kg/unit] Total Mass [kg] Water Tanks 1 204 204 Water* 1 10199 10,199 Air Tanks 1 743 743 Total Gas* 1 1566 1566 Comments Allotted Tank Mass Allotted Tank Mass Pat Nelson, Steve Blaske, Theresa McGuigan, Wade McMillan Spring 2004 AAE450: Slide 16 Air Subsystem Air Subsystem Design Values Value Unit Total Mass 4,500 kg Total Volume 7.0 m3 Total Power 2.6 kW Totals Atmosphere Composition and Pressure Air Subsystem Breakdown Gas Pressure [kPa] Component Mass [kg] p(O2) 19.50 Total Gas 1,600 p(CO2) 0.12 Mechanical Systems 500 p(N2) 50.38 Tanks 700 Total Pressure 70.30 Spares 300 Pat Nelson, Steve Blaske, Theresa McGuigan, Wade McMillan Spring 2004 AAE450: Slide 17 Waste & Water Subsystem Water Mass for Mission WCS Specifications Spec. Value Units Required Mass for Recovery of Recycling Losses 9600 kg Spec. Value Units Mass 112 kg Volume 0.55 m3 Mass of Initial System Charge 120 kg Power 375 Watts 5 % Margin for Leakage / Spills 490 kg Total Mass of Water 10,200 kg Packing Factor 1.02 Daily Water Budget Spec. Value Units Water Input 118 kg/d Water Output 119 kg/d Percent Recycled 90 % Total Loaded Mass of Water 10,400 kg Mass Recycled 107 kg/d Volume of Water [0.001 m3/kg] 10.4 m3 Difference between Required and Recycled 10.5 kg/d WPA Specifications Spec. Value Units Mass 658 kg Volume 2 m3 Power 915 Watts Pat Nelson, Steve Blaske, Theresa McGuigan, Wade McMillan Spring 2004 AAE450: Slide 18 Artificial Gravity Gravity Gradient relative to 9.81 m/s2 Floor Transit Gravity Martian Orbit Gravity 1st 1 0.38 2nd 0.92 0.34 3rd 0.83 0.29 Pat Nelson, Steve Blaske, Theresa McGuigan, Wade McMillan Spring 2004 AAE450: Slide 19 Volume Comparisons Comparison Volume per Person [m3/p] Comments Small Office 15 Habitable volume per person Recreational Vehicle 27.5 Habitable volume per person Naval Submarine 145 Pressurized volume per person Skylab 100 Pressurized volume per person Mir 124 Pressurized volume per person ISS 142 Pressurized volume per person Pat Nelson, Steve Blaske, Theresa McGuigan, Wade McMillan Spring 2004 AAE450: Slide 20 Habitat Module 10.084 m 2.58 m 10.5 m Debanik Barua, Masaaki Atsuta, Jamie Krakover, Rachel Malashock, George Mseis, Daniel Nakaima Spring 2004 AAE450: Slide 21 Storage Module Doors for CRV/Landers 10.084 m 10.5 m Debanik Barua, Masaaki Atsuta, Jamie Krakover, Rachel Malashock, George Mseis, Daniel Nakaima Spring 2004 AAE450: Slide 22 Effect of Thickness on Hoop Stress Debanik Barua, Masaaki Atsuta, Jamie Krakover, Rachel Malashock, George Mseis, Daniel Nakaima Spring 2004 AAE450: Slide 23 Buckling Analysis Debanik Barua, Masaaki Atsuta, Jamie Krakover, Rachel Malashock, George Mseis, Daniel Nakaima Spring 2004 AAE450: Slide 24 Column Configuration and FEM Analysis 2.00 m 1.00 m R 0.30 m 0.02 m R 0.20 m 2.58 m R 0.20 m 0.10 m 0.75 m 1.50 m Max. von Mises Stress = 9.65×107 N/m2 Max. Principal Stress = 9.74×107 N/m2 Max. Displacement = 1.36×10-4 m Mass = 916.34 kg Debanik Barua, Masaaki Atsuta, Jamie Krakover, Rachel Malashock, George Mseis, Daniel Nakaima Spring 2004 AAE450: Slide 25 Brace Configuration and FEM Analysis Max. von Mises Stress = 3.61×107 N/m2 Max. Principal Stress = 3.72×107 N/m2 Max. Displacement = 6.25×10-4 m Mass = 65.80 kg Debanik Barua, Masaaki Atsuta, Jamie Krakover, Rachel Malashock, George Mseis, Daniel Nakaima Spring 2004 AAE450: Slide 26 Floor Configuration and FEM Analysis Max. von Mises Stress = 9.52×106 N/m2 Max. Principal Stress = 9.38×106 N/m2 Max. Displacement = 1.40×10-4 m Mass = 9.76×103 kg Debanik Barua, Masaaki Atsuta, Jamie Krakover, Rachel Malashock, George Mseis, Daniel Nakaima Spring 2004 AAE450: Slide 27 CRV and Lander Holders Configuration Lander Holder CRV Holder Debanik Barua, Masaaki Atsuta, Jamie Krakover, Rachel Malashock, George Mseis, Daniel Nakaima Spring 2004 AAE450: Slide 28 CRV and Lander Holders Analysis Debanik Barua, Masaaki Atsuta, Jamie Krakover, Rachel Malashock, George Mseis, Daniel Nakaima Spring 2004 AAE450: Slide 29 Margin of Safety (MS) • Surface Crack Propagation • Assumptions: - Leak before break - a/c = 1.0 - a/t = 1.0 - a/b = 0.1 design p0 r 2.55 108 N 2 m t Surface Crack Propagation (Fig 8.3 from Fundamentals of Structural Integrity by Alten F. Grandt) K = 36.26 MPa-m1/2 for Al 2219-T851 K allow a a a c M f , , , allow 6.28 108 N 2 m Q t c b allow MS 1 147% design Debanik Barua, Masaaki Atsuta, Jamie Krakover, Rachel Malashock, George Mseis, Daniel Nakaima Spring 2004 AAE450: Slide 30 Hoytube Design • 6 Hoytubes within the bundle • 5 primary lines per Hoytube – Most of load bearing capability • 8 Secondary lines per Hoytube – Initially slack, load bearing in case of damaged primary lines • High survivability – 100 % > 70 years Debanik Barua, Masaaki Atsuta, Jamie Krakover, Rachel Malashock, George Mseis, Daniel Nakaima Spring 2004 AAE450: Slide 31 Component Masses Hab Component Mass (kg) Hab Component Mass (kg) Stringers 360 End Caps 4,500 Rings/Frames 620 Outer Shell 1,880 Columns 2,750 Inner Wall 3,980 Braces 1,180 Micrometeorite Protection 2,500 Airlocks 3,260 Floor Partitions 15,570 Debanik Barua, Masaaki Atsuta, Jamie Krakover, Rachel Malashock, George Mseis, Daniel Nakaima Spring 2004 AAE450: Slide 32 Layering System Layering Al 6061 Bumper MLI Polyethylene Al 2219-T851 Shell Thickness 2 mm 6.4 mm 7 cm 2 mm Debanik Barua, Masaaki Atsuta, Jamie Krakover, Rachel Malashock, George Mseis, Daniel Nakaima Spring 2004 AAE450: Slide 33 Rigid Body Model 4.38 m 9.31 m Stringer Ring/Frame Debanik Barua, Masaaki Atsuta, Jamie Krakover, Rachel Malashock, George Mseis, Daniel Nakaima Spring 2004 AAE450: Slide 34 Power Subsystems Breakdown (Primary Power) Subsystem Power Allotted (kWe) Percentage of Total Power Human Factors 23 11.5% Thermal 20 10% 5 2.5% Communications 20 10% Propulsion 0.8 0.4% Structures 1.5 0.8% 0 0% Margin 9.7 4.8% Continuous Power Subtotal 80 40% Dynamics and Controls 120 60% Total 200 100% Power Aerodynamics Ryan Spalding, Reuben Schuff, Justin Tucker Spring 2004 AAE450: Slide 35 Power Cable Ryan Spalding, Reuben Schuff, Justin Tucker Spring 2004 AAE450: Slide 36 Power Cable Mass Mass Breakdown for Components of Power Cable Copper Density [kg/m^3] Silicone Shielding 8920 1150 9000 1.70E-08 NA NA Length [m] 75 75 75 Cross-section Area [mm^2] 14 19.2 25.4 Mass per Wire [kg] 9.4 1.7 NA 4 4 NA 37.4 6.6 17.2 NA NA 3 Resistivity [Ohm-m] Number of Wires per Bundle Mass per Bundle [kg] Number of Bundles Total Mass of Cable [kg] Ryan Spalding, Reuben Schuff, Justin Tucker Spring 2004 AAE450: Slide 37 183.7 Fuel Cell System Mass Mass Breakdown of Fuel Cell System Item 3 Mass (kg) Volume (m ) Each Fuel Cell 118 0.16 Fuel Cells (5) 590 0.8 Each LOX Tank 115 0.53 LOX Tanks (2) 230 1.06 Each LH2 Tank 131 1.09 LH2 Tanks (2) 262 2.18 Total Hardware 1082 4 LOX Fuel 893 0.77 LH2 Fuel 112 1.59 Total Fuel 1005 2.36 2100 Ryan Spalding, Reuben Schuff, Justin Tucker 4 Total System Spring 2004 AAE450: Slide 38 Power Subsystems Breakdown (Secondary Power) Location of Power Use Power Supplied (kWe) Tether Winch 7.5 Human Factors Considerations 10 Communication/Navigation 7 Thermal Concerns 5 Margin 1 Total (without winch) 23 Total (with winch) Location of Power Use 30.5 Power Supplied (kWe) Human Factors Considerations 4 Communication/Navigation 4 Thermal Concerns 5 Margin 1 Total 14 Ryan Spalding, Reuben Schuff, Justin Tucker Spring 2004 AAE450: Slide 39 Breakdown of Fuel Cell System (Duration and Power Supplied) Interval Time (hr) Power Supplied (kWe) Power Capacity (kWe-hr) 1 Procedure 3 30.5 91.5 Total Required: 6 18 30.5 549 Margin: 14 42 30.5 1281 Total: 20 60 30.5 1830 First Burn 1.5 23 34.5 Second Burn 1 23 23 Third Burn 0.5 23 11.5 Margin 2 23 46 Total 5 23 115 Aerocapture: 2 3 6 Total n/a n/a 1950 Tether Deployment and Retraction: Main Engine Burn: Ryan Spalding, Reuben Schuff, Justin Tucker Spring 2004 AAE450: Slide 40 Mass Breakdown of Power Distribution System Components: Plasma Contactors (Ground) 159 Transformers: Large 670 Small Scale 5 Regulators, Converters, charge controllers,etc 1037 TOTAL COMPONENTS 1872 TOTAL WIRING 3461 TOTAL DISTRIBUTION SYSTEM 5330 Ryan Spalding, Reuben Schuff, Justin Tucker Spring 2004 AAE450: Slide 41 Power Loss in Tether Energy Balance at Outter Insulation Surface: q net q solar qemitted Power Loss Wire Surface Area Energy Balance at Inner Insulation Surface: Power Loss q solar qemitted Wire Surface Area Melanie, Matthew Branson, Lucia Capdevila, Alessandro Ianniello, Robert Silosky Manning Spring 2004 AAE450: Slide 42 Cooling Loop Design • Propulsion Module – Two phase H2O loop – Mass flow rate = 0.04 kg/s – Pressure = 2 atm T1 = 130.8 oC H2O vapor 380 kW From Engines 380 kW HX P • Habitat Module – Single phase liquid NH3 loop – Mass flow rate = 0.08 kg/s – Supply temperature = 4.4 oC T2 = 130.8 oC H2O liquid P HX Spring 2004 AAE450: Slide 43 33 kW T1 = 83 oC P HX T2 = 4.4 oC T2 = 4.4 oC 33 kW T1 = 83 oC Panel Design • Panel Design 3.81 mm 0.58 mm – Beryllium fins (k = 220 W/m-K) – Z-93 white paint coating (e = 0.92) 10 cm Spring 2004 AAE450: Slide 44 fin heat pipe Radiator Mass Breakdown Propulsion module Habitat Module Panel 781 kg 365 kg Support structure 3780 kg 1763 kg Total 4561 kg 2128 kg Spring 2004 AAE450: Slide 45 Timeline • • • • • • • • • • Early November 2009 – 500 km circular orbit at 23.45º inclination Late November 2009 – Finite burn for trans-Mars injection, Δv = 4.50 km/s Mid January 2010 – Tether deployed, spin-up maneuver, ω = 5 rpm Early June 2010 – Spin-down maneuver, EVA performed, prepare for aerocapture Mid June 2010 – Mars atmospheric probes released Mid July 2010 – Aerocapture into 14 day elliptic orbit around Mars, e = 0.97 Late July 2010 – First Mars Lander released, landing at 1.98ºS, 353.82ºE Early August 2010 – Second Mars Lander released, landing at 8.92ºN, 205.21ºW Mid August 2010 – Apo-twist maneuver Mid September 2010 – Spin-up maneuver, simulate Mars gravity Allison Bahnsen, Daniel Grebow, Kelli Hsieh, Steven Lambert, Joseph Paunicka, Brian Pramann Spring 2004 AAE450: Slide 46 Mars Aerocapture: Capturing the Corridor • • Vehicle Characteristics Unchanged Entry Corridor Density Uncertainties Parameter Variation Standard Dev. -3, 0 and 3 Dust Level Low, Mod, High Time of Day 0-24 hrs (4 hr incr.) • Nominal Flight Path Angles [LU, LD] [-9.43º, -8.1065º] % Cases Captured: 54 Total St. Dev % LU Capt. % LD Capt. -3 83.33 % 83.33 % 0 100 % 100 % 3 100% 33.33% Ellipsled Image taken from R. Whitley and C. Cerimele Ryan Whitley Spring 2004 AAE450: Slide 47 Spin-up/Spin-down Specifics Spin-Up ΔV (m/s) Time (days) Spin-down ΔV (m/s) Time (days) Trans-Mars Hab side 28.8 41.5 28.8 41.5 Propulsion side 38.2 41.5 38.2 41.5 Hab side 10.4 29.5 10.4 28 Propulsion side 13.6 29.5 13.6 28 Hab side 28.8 22.1 28.8 20.6 Propulsion side 57.64 22.1 57.64 20.6 Mars Orbit Trans-Earth Allison Bahnsen, Daniel Grebow, Kelli Hsieh, Steven Lambert, Joseph Paunicka, Brian Pramann Spring 2004 AAE450: Slide 48 Hall Effect Thruster Placement Allison Bahnsen, Daniel Grebow, Kelli Hsieh, Steven Lambert, Joseph Paunicka, Brian Pramann Spring 2004 AAE450: Slide 49 Trans-Earth Injection: Finite Burn • Early November 2009 – Initial Earth parking orbit. • Late November 2009 – TransMars injection, 1.34 hour burn time. – Impulsive: ΔV = 3.55 km/s. – Finite: ΔV = 4.50 km/s. Daniel Grebow, Allison Bahnsen, Kelli Hsieh, Steven Lambert, Joseph Paunicka, Brian Pramann Spring 2004 AAE450: Slide 50 Finalized Orbital Parameters a (km) e rp (km) ra (km) v∞ (km/s) ΔV (km/s) P TOF (days) (days) Trans-Mars 1.89e8 0.21 1.50e8 2.28e8 2.94 3.55 518 259 Hyperbolic Arrival 8.44e3 1.43 3.45e3 2.64 (ΔVeq = 0.52) - - Post-Capture Elliptical 1.17e5 0.97 3.45e3 2.30e5 2.67 1.6e-3 13.99 6.99 Mars Parking 1.17e5 0.97 3.60e3 2.30e5 5.01 3.8e-2 14.00 336 “Parabolic” Departure 2.01e8 1.00 3.60e3 2e-4 ΔVcr = 2.65 - - Trans-Earth 1.89e8 0.21 1.50e8 2.28e8 2.93 0.48 518 259 - - TOTALS Total Mission Time (yrs) 2.36 Total Main Engine ΔV (km/s) 7.88 Daniel Grebow, Allison Bahnsen, Kelli Hsieh, Steven Lambert, Joseph Paunicka, Brian Pramann Spring 2004 AAE450: Slide 51 Aerocapture into 14-day Elliptic Orbit Mars Elliptical Orbit 3,600 km x 230,000 km v∞ (km/s) ΔV (km/s) 8 Trans-Mars Injection 2.94 3.55 6 Periapsis Raise Maneuver 2.67 0.71 4 Trans-Earth Injection 5.01 3.8e-2 Correction Maneuver 2e-4 2.65 TOTAL 6.95 Aerocapture with 14-Day Elliptical Parking Orbit 4 Cartesian Y, y [km] x 10 Hyperbolic Arrival Post-Capture Orbit Elliptical Parking Orbit 'Parabolic' Departure 2 0 -2 -4 Possible methods to reduce Δvcr: • Out-of-plane hyperbolic arrival at Mars. • Rotation of the line of apsides and precession of the line of nodes due to Mars’ oblateness. • Apo-twist maneuvering. • Apply correction maneuver before periapsis. -6 -8 -2 -1.5 -1 Cartesian X, x [km] -0.5 0 Daniel Grebow, Allison Bahnsen, Kelli Hsieh, Steven Lambert, Joseph Paunicka, Brian Pramann Spring 2004 AAE450: Slide 52 5 x 10 Apo-Twist dw/dt=(3*n*J2*Rplanet2(4-5*sin2(i)))/(4*a2(1-e2)) Orbital Plane 63.4 deg Ecliptic Plane 25.19 deg “Squishy” Mars Daniel Grebow, Allison Bahnsen, Kelli Hsieh, Steven Lambert, Joseph Paunicka, Brian Pramann Spring 2004 AAE450: Slide 53 Zubrin’s Trajectory Zubrin's "Athena" Trajectory Earth Orbit Mars Orbit Initial Hohmann Transfer Spacecraft Intermediate Orbit Final Hohmann Transfer 7 Cartesian Z, z [km] x 10 6 4 2 0 -2 2.5 2 1.5 1 2 0.5 0 1 8 x 10 8 x 10 -0.5 -1 0 -1.5 -1 Cartesian Y, y [km] -2 -2 -2.5 Cartesian X, x [km] Daniel Grebow, Allison Bahnsen, Kelli Hsieh, Steven Lambert, Joseph Paunicka, Brian Pramann Spring 2004 AAE450: Slide 54 Aerodynamics: Equations of Motion h V sin sin D V m (rmars h) 2 cos L cos V2 2 (rmars h) (r V mV mars h) L sin V cos cos tan mV cos rmars h V rmars h cos sin V cos cos (rmars h) cos Ryan Whitley Spring 2004 AAE450: Slide 55 Aerocapture: Final Altitude Profile Ryan Whitley Spring 2004 AAE450: Slide 56 Aerocapture: Final Velocity Profile Ryan Whitley Spring 2004 AAE450: Slide 57 Aerocapture: Final G-load Profile Ryan Whitley Spring 2004 AAE450: Slide 58 Probe: Equations Used • • • • Ballistic Coefficient = m/Cd S V = Ve exp (1/2Z 1/BC rho/sin gamma (exp –Zh)) dv/dt = -1/2 1/bc rho V² Qrate = k (rho/Rn U/1000)³ Ayu Abdullah Spring 2004 AAE450: Slide 59 Probe Trajectory (Trajectory found using data from code by Ryan Whitley and Bob Manning) Altitude versus Time Altitude (km) 100 50 0 -50 0 50 100 150 200 250 300 Time (s) Velocity versus Time 350 400 450 Velocity (km/s) 5 4 3 2 80 90 100 110 120 Time (s) 130 Ayu Abdullah Spring 2004 AAE450: Slide 60 140 150 Probe Trajectory (Trajectory found using data from code by Ryan Whitley and Bob Manning) Altitude versus Range Altitude (km) 100 50 0 -50 0 100 200 100 200 300 400 500 Range (km) Velocity versus Range 600 700 800 600 700 800 Velocity (km/s) 6 4 2 0 0 300 400 500 Range (km) Ayu Abdullah Spring 2004 AAE450: Slide 61 Probe Characteristics Powered by 2 non-rechargeable lithium-thionyl cloride batteries of 600 miliamp hours, 6 – 14 volts for 1-3 days. Probes encased in aeroshells made of ceramic material Probes will contain batteries, accelerometers, sun sensor, temperature sensor, communications equipment. Propulsion system¹ Main engine – Marquadt R6 – C Two tanks using fuel – N2O4, oxidizer – MMH 3 Retro-rockets which provide Δv = 16 m/s ¹ Propulsion system designed by Nikolaus Ladisch using trajectory from module designed by Brian Pramann Ayu Abdullah Spring 2004 AAE450: Slide 62 Visualization of the Mass Breakdown S1 S2 S3 S4 S5 S6 C1 C2 C3 C4 C5 C6 Matthew Branson, Bob Manning, Alessandro Ianniello, Melanie Silosky, Lucia Capdevila Spring 2004 AAE450: Slide 63 Ablator Materials4 SLA-561V is a mixture of Silicone, silica microballons, corks and silica glass fibers that is injected into a glass reinforced polymide honeycomb. Ablator Materials is used to help cut down on weight. The material is burnt up while entering into an atmosphere to remove some of the heat that is generated while entering. Matthew Branson, Bob Manning, Alessandro Ianniello, Melanie Silosky, Lucia Capdevila Spring 2004 AAE450: Slide 64 Composites Purpose in Heat shields • The main purpose is for Strengthing the heatshield when dealing with such high thermal loads • Si-C (Silcon-Carbide) is used for its VERY high (2800oK)5 melting point while still maintaning its strength (200-350 MPa)5 • C-C (Carbon-Carbon) is used for its very high (20600K)5 Matthew Branson, Bob Manning, Alessandro Ianniello, Melanie Silosky, Lucia Capdevila Spring 2004 AAE450: Slide 65 References 1) 4) David G. Gilmore, Spacecraft Thermal Control Handbook, The Aerospace Press, El Segundo, CA., 2002 Charles D. Brown, Elements of Spacecraft Design, AIAA Education Series, Castle Rock, CO, 2002 Wiley J. Larson and Linda K Pranke, Human Spaceflight, The McGraw-Hill Companies, inc., New York, NY K. Sermeus, Euroavia / Mission to Mars Symposium 5) http://www.ultramet.com/old/therm.htm 6) 7) Soddit Matlab code written by Damon Landau Sandia One-Dimensional Direct and Inverse Thermal Code (Soddit), Sandia National Laboratories, Albuquerque, New Mexico, 1990 Professor Schnider 2) 3) 8) Spring 2004 AAE450: Slide 66 Lander Placement Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 67 Dan Nakaima, Ben Phillips Lander Separation • Release of First Lander – Correction Dv = 1.01 m/s • Release of Second Lander, waiting half a sol: – Correction Dv = 1.17 m/s Trajectory of 1st Lander Transport Trajectory Trajectory of 2nd Lander Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 68 Dan Nakaima, Ben Phillips Rover Communication • Can view half of Mars for 99.73% of the time • Meets needs of communications – Equatorial Landings Sites are suitable Transport Orbit Swath Width Communication Availability By: Allison Bahnsen 8000 6000 Cartesian y [km] 4000 2000 0 Equator -2000 -4000 -6000 -8000 -5000 0 Cartesian x [km] 5000 View from Spacecraft Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 69 Dan Nakaima, Ben Phillips Rover Communication – Swath Width • Sw = 2*a*Rs • At apoapsis, Sw = 10,572 km • At periapsis, Sw = 2,276 km • Calculated the distance when Sw = 2*3397km to find when we could see the whole planet RS Spring 2004 AAE450: Slide 70 a b ra Rover Landing Sites Terra Meridiani Athabasca Valles |203 W | 205W |207 W 10 N_ 9 N_ 8 N_ 1.98° S, 6.18° W 8.92° N, 205.21° W Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 71 Dan Nakaima, Ben Phillips Details on Cruise Stage Solar Panels Thrusters Heaters Prop. Tank Sun Sensor Star Scanner 5m Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 72 Dan Nakaima, Ben Phillips Parachute System Variable Name Material Specific Weight WC (canopy) Nylon/Kevlar .0115 lb/ft2 WSL (suspension lines) Kevlar .0035 lb/ft/1000 lb strength WRT (radial tape) Kevlar .0035 lb/ft/1000 lb strength WR (riser) Kevlar .0035 lb/ft/1000 lb strength Parameters Drogue Lander SO [m2] 170 385 DO [m] 10.4 16.7 NSL 48 48 LSL [m] 16 23 NR 1 5 LR [m] 5 3 NG 48 48 Volume [m3] .021 .039 Total mass [kg] 17 32 Upper portion of Lander and parachute cables Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 73 Dan Nakaima, Ben Phillips Aeroshell Ballistic Trajectory Altitude versus Velocity Altitude (km) Entry parameters – Ventry = 4.896 km/s Gamma = 4.596 degrees Ballistic coefficient = 99.07 kg/m^2 Maximum Heating Rate = 322.03 W/cm^2 Altitude of Maximum Heating Rate =35.87 km • Maximum Deceleration = 4.4 Earth G’s • Altitude of Maximum Deceleration = 26.31 km 100 50 0 0 0.5 1 1.5 2 2.5 3 Velocity (km/s) 3.5 4 4.5 5 Altitude versus Deceleration 150 Altitude (km) • • • • • • • • 150 100 50 0 0 0.5 1 1.5 2 2.5 3 Deceleration (Earth Gs) 3.5 4 Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 74 Dan Nakaima, Ben Phillips 4.5 Aeroshell Design • Cd of Aeroshell =1.69 • Mass of Aeroshell = 435 kg • -Heatshell = 230 kg - Backshell = 205 kg Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 75 Dan Nakaima, Ben Phillips Lander Trajectory Altitude versus Time Altitude (km) 100 50 0 -50 0 50 100 150 200 250 300 Time (s) Velocity versus Time 50 100 150 350 400 450 350 400 450 Velocity (km/s) 5 4 3 2 1 0 0 200 250 Time (s) 300 Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 76 Dan Nakaima, Ben Phillips Lander Trajectory Altitude versus Range Altitude (km) 100 50 0 -50 0 200 400 600 Range (km) Velocity versus Range 800 1000 200 400 600 Range (km) 800 1000 Velocity (km/s) 5 4 3 2 1 0 0 Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 77 Dan Nakaima, Ben Phillips Aeroshell FEM Analysis Parameter Maximum value von Mises stress 2.24 104 N/m2 Displacement 4.62 mm Compressive stress 2.14 104 N/m2 Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 78 Dan Nakaima, Ben Phillips Heat Shield Analysis Graphite Ablation Carbon-Carbon Composite Honeycomb Parameter Value BC 49.07 kg/m2 Maximum G-loading 5.03 Earth G’s Estimated cross range 727 km Material of Each Layer Thickness (cm) Graphite Ablator 0.1 Carbon-Carbon Composite 0.1 Glass Reinforced 10 Polyimide Honeycomb Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 79 Dan Nakaima, Ben Phillips Retro Rocket Specifics ΔV mfinal tb Pc ε Isp cF c* 85 m/s 1575 kg 40 s 3 MPa 30 364 s 1.915 1865 m/s Lcham Lnoz F Dstop 1739 N 2408 m Rthroat Rexit Rcham 0.0098 m 0.054 m 0.0252 m 0.193 m 0.131 m Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 80 Dan Nakaima, Ben Phillips Retro Rocket Configuration Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 81 Dan Nakaima, Ben Phillips Lander Dimensions Panel Number Length (m) Side A 4 1.3 Side B 4 1.4 Top 1 N/A Bottom 1 N/A Height (m) Thickness (cm) Leg A Top Panel Bottom Panel Mass (kg) Leg B Side Panel A 1.1 2 14.3 1.1 2 15.6 N/A 1 44.5 N/A 10 444.9 Total Mass (kg) 609.0 Leg A Side Panel B Leg Number Length (m) Diameter (cm) Mass (kg) A 4 0.95 5 14.7 B 8 1.0 5 15.4 Total Mass (kg) 182.0 Leg B Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 82 Dan Nakaima, Ben Phillips Lander Communication Lander to Rover Lander to Transport Vehicle Frequency 0.42 GHz Frequency 21.2 GHz Efficiency Transmitting 0.65 Diameter Receiving 2m Efficiency Receiving 0.65 Efficiency Transmitting 0.65 Efficiency Receiving 0.65 Bit Error Rate 5.00e-6 bps Bit Error Rate 5.00e-6 bps Link Margin 2 dB Link Margin 2 dB Noise Temperature 300 K Noise Temperature 300 K Atmospheric Loss 2 dB Atmospheric Loss 2 dB Distance of Transmission 1 km Distance of Transmission 229,700 km Data Rate 2.00e-4 bps Data Rate 10 Mbps Diameter Transmitting 0.32 m Power 0.081 mW Power 10 W Mass 0.4 kg Mass 0.0365 kg Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 83 Dan Nakaima, Ben Phillips Power Specifics Lander Power System Mass of radio-isotope: 60 kg Mass of batteries for landing: <1 kg Volume of power systems: 0.2 sq meters Power produced: 300 W (at beginning of life) Rover Power System Mass: 24 kg Power Produced: 120 W Volume: ~0.1 sq meters Failure Rate Based on previous missions using radio-isotope power sources the failure rate for both the lander and rover is <1% (no moving parts) Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 84 Dan Nakaima, Ben Phillips Rover Specifics • • • • • • • • • • • • • • • • Mass: approximately 155 kg Wheelbase (front to rear): 1.2 m Wheel Size: ~ 0.25 m diameter, 0.15 m width Track Width: 1.1 m (outside of wheel to outside of wheel) Maximum Obstacle Height: 0.30 m rock Top Deck Height: approx 0.6 m above ground Rover Body Dimensions: approximately 0.6 x 1.0 x 0.3 m Mast Instrument Platform Height: 1.0 m above ground Arms : 6 degree of freedom (DOF) One Sol Range: Terrain dependent (50 m Nominal) Guidance, Navigation & Control Sensors: Cameras, LN-200 Effective Stereo Range (Navcams) ~50 m RPS Power: 200 W continuous (2 RPSs) Thermal Control: Heat from RPS: Cool from waste from RPS Landed Operational Lifetime: 365 Earth Days Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 85 Dan Nakaima, Ben Phillips Rover Detailed Mass Budget system Mobility System Arm(L) Arm(R) Head Body component mass / each Wheel 2.757 Actuator 0.13 Frame 1.558 Arm 0.65 Motor 0.13 Gripper 0.6 Scoop 0.288 Sensor 0.2 Arm 0.65 Motor 0.13 Raman Spectrometer 4.3 APX 0.8 MI 0.3 Panacam 0.27 Navcam 0.22 Mini-TES 2.1 Motor 0.13 Mast 4.71 Hazcam 0.245 Radiation Detector 5.7 Sample Container 0.213 HGA 5.7 Moror 0.13 UHF Antenna 0.034 (Motor) 0.13 Warm Electronics Box 18 REM 45.9 IMU 0.7 RPS 40 COMM HW 1 # 6 10 2 2 6 1 1 1 2 6 1 1 1 2 2 1 4 1 4 1 1 1 2 1 12 1 1 1 1 1 mass / all total / system 16.54 20.956 1.3 3.116 1.3 3.168 0.78 0.6 0.288 0.2 1.3 7.48 0.78 4.3 0.8 0.3 0.54 8.31 0.44 2.1 0.52 4.71 0.98 115.214 5.7 0.213 0.867 0.26 0.034 1.56 18 45.9 0.7 40 1 TOTAL 155.128 Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 86 Dan Nakaima, Ben Phillips Rover Communication Rover to Lander Frequency 0.41 GHz Efficiency Transmitting 0.65 Efficiency Receiving 0.65 Mars Rover to Transport Module Frequency 21.2 GHz Diameter Receiving 2m Efficiency Transmitting 0.65 Efficiency Receiving 0.65 Bit Error Rate 5.00e-6 bps Bit Error Rate 5.00e-6 bps Link Margin 2 dB Link Margin 2 dB Noise Temperature 300 K Noise Temperature 300 K Atmospheric Loss 2 dB Atmospheric Loss 2 dB Distance of Transmission 1 km Distance of Transmission 229,700 km Data Rate 10 Mbps Data Rate 2.00e-4 bps Diameter Transmitting 0.32 m Power 10 W Mass 0.4 kg Power 0.22 mW Mass 0.0374 kg Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 87 Dan Nakaima, Ben Phillips SRV Specifics Component Component Overall Height 3.02 [m] Max Radius 0.48 [m] Tank Height Radius Take Off Mass Component 950 [kg] Ispvac 344 [s] Dry Mass 200 [kg] Mix Ratio 2.99 2.42 [m] Payload 10 [kg] Chamber P 300 [psi] 0.48 [m] Fuel 740 [kg] Area Ratio 15 Nozzle Length 0.30 [m] Engines 3 1.707 Exit Radius 0.11 [m] Thrust/Weight 4.54 Thrust Coefficie nt Throat Radius 0.03 [m] Total Thrust 16,400 [N] 6064 Cargo Bay Height 0.10 [m] Burn Time 306 [s] Characteristic Velocity Docking Probe Length 0.20 [m] 0.20 [m] Equivalent DV 5.2 [km/s] Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 88 Dan Nakaima, Ben Phillips Propellant Production Specifics Methane Oxygen Component Mass Needed 185 [kg] Mass Needed 550 [kg] Required Hydrogen Production Rate .616 [kg/day] Production Rate 2.46 [kg/day] Production Equipment 20 [kg] Time 300 [days] Time 223 [days] 400 [kw] Power Required 47 [kg] •Reaction •3CO2 + 6H2 → CH4 + 2CO + 4H2O •2H2O → 2H2 + O2 •1 kg H2 → 3.98 kg Methane & 7.94 kg O2 Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 89 Dan Nakaima, Ben Phillips Launch Parameters Parameter Numeric Value Altitude [km] 100 Range [km] 732 X-Velocity [km/s] 4.91 Hohmann speed at 100 km [km/s] 4.91 Burn Time [s] 307 Thrust [N] 13,000 Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 90 Dan Nakaima, Ben Phillips Optimal Launch of SRV • Two-Point Boundary Value Problem Optimization x v x y v y – Used code created by Professor Williams Initial Conditions Final Conditions to yf = rc = 100 km xo vxf = vc = 4.91 km/s yo vyf = 0 vxo vyo Spring 2004 AAE450: Slide 91 T cos( ) m T v y sin( ) g m b b 2 sin( ) b cos( ) v x Optimal Launch Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 92 Dan Nakaima, Ben Phillips Optimal Launch Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 93 Dan Nakaima, Ben Phillips Optimal Launch Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 94 Dan Nakaima, Ben Phillips Optimal Launch Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 95 Dan Nakaima, Ben Phillips SRV Docking Views Fixed End Counter Clockwise rotation of 60° Ayu Abdullah, Masaaki Atsuta, Allison Bahnsen, Franklin Hankins Leigh Janes, Andy Kacmar, Matt Maier, Spring 2004 AAE450: Slide 96 Dan Nakaima, Ben Phillips AMCM Cost = β Ξ S (1/(IOC-1900)) φ D αQ M δ ε Bγ Constants Variables α = 5.65e-4 Q = Quantity β = 0.5941 M = Dry Mass (kg) Ξ = 0.6604 S = Specification δ = 80.599 IOC = Initial Operating Capability ε = 3.8085e-55 B = Block Number φ = -0.3553 D = Difficulty γ = 1.5691 Brady Kalb Spring 2004 AAE450: Slide 97 AMCM Values Specification IOC Block Difficulty Number Launch Vehicle Transport 1.93 2009 2 -1 2.39 2009 1 0 Lander 2.46 2009 2 -0.5 Rovers 2.14 2009 2 -0.5 Crew Return Vehicle 2.27 2009 3 -1 Brady Kalb Spring 2004 AAE450: Slide 98 Cost Schedule Cost Fraction = A(10F2 – 20F3 + 10F4) + B(10F3 – 20F4 + 10F5) + 5F4 – 4F5 Where F equals fraction of project life complete. For manned mission, A = 0.32 B = 0.68 Brady Kalb Spring 2004 AAE450: Slide 99 Inflation Rates Year Rate (%) 1999 2.21 2000 3.36 2001 2.85 2002 1.58 2003 2.28 Brady Kalb Spring 2004 AAE450: Slide 100