SSPW Group 5
 
Space Transportation systems - moving people and/or freight, to or from the moon, earth or GSO.

Review Status:  Ready for review
Working document:   Launch Costs Model 5.1  -  Case 1, No lunar base              February 10, 1998

Purpose: To estimate costs for launch services to place  300 Gwe of Space Solar Power baseload capacity
                      into Geo-Stationary Orbit over a span of   12 years

Note:  The authors reviewed model input variables are placed in cells with bold underline.
 
Specific Mass:  Pending expected revision from the SSP design team, (group 1 & 2) it will be
assumed that the specific  mass of the SSP is:  10 tons per Mwe,   (for a total satellite placement of
3.00E+06 metric tons, or 6.62E+09 pounds - (Note: About 2 Mw must be collected in GSO orbit to
feed 1 Mw into a contracting electric power utility, since an end to end wireless power conversion efficiency of  54 % is currently expected, and some slight excess capacity is planned both for PV efficiency decay due to radiaction and SSP operation)  As there will be other goods placed into low orbit to support this activity, a wrap-around factor termed Orbit Burden Factor, or OBF will be used to account for the upper stage equipment and propellants, personnel and equipment, and infrastructure.  Pending updated analytical data, we set OBF  =   1.30 , based on the work done at
NASA  20 years ago.
 
Total Mass to LEO:  Thus, the total mass to be delivered from Earth to LEO is: 3.90E+06
 metric tons. (OBF times 3.00E+06)
 
The Space Launch Vehicle:   Numerous candidate vehicles may be considered sufficiently credible
 to perform this function.  For simplicity, this cost case assumes that the  5*StarBooster (module 5.1)
defined by Hu Davis  will be used for the entire mission model.  (See supporting data)
 It will be updated and/or extrapolated for other launch vehicles.
 
         Gross Liftoff Mass =   3,167  tons           Booster Propellants:  Oxygen/Kerosene
         Number of Stages =                       2           Propellant Mass:       1,594 metric tons
         Booster dry mass  =        209  tons           O/F Ratio:                              2.6
         Orbiter dry mass   =         123 tons           Orbiter propellants:  Oxygen/Hydrogen
         Net Payload =               87.4  tons           Propellant Mass:   1,077  to an orbit of:  500 km, incl. = 0
         O/F Ratio:                                   6.0
         Flyback Jet Fuel =    54  tons    *Propellant costs @ 1995 USAF costs
     Total kerosene required =   497  tons @  $    397  per ton = $ 1.97E+05 12%
     Total hydrogen required =   154  tons @  $ 7,210  per ton = $ 1.11E+06 68%
     Total oxygen required =   2,074  tons @  $      99  per ton = $ 2.06E+05 13%
     Plus He pressurant and GN2 purge gas @    8%                       1.21E+05 7%
                                    Propellant costs per flight     =     1.63E+06 dollars plus waste
                                                                    $18,689  per ton or  $8.48  per lbm payload
 
Nominal Fleet Size:
        Determined by required maximum launch rate, vehicle turn-around time, mission time,
               load factor, and availability (average in-commission rate at the launch site).
        Average payload deliveries to LEO =    3.25E+05 tons per year, but peak placement rate is
               133%  this, or  433,333  tons per year.  If the vehicle load factor is   85%
        then the peak launch rate is   5,833  flights per year.  If availability =   85%
        then the fleet capability must be   6,862  flights per year.
        If launch operations are conducted on  305 days per year, daily flight rate is
        22.50  or, rounding up,  23  flights per day
        SSP Placement Rate =   34324.94279  (units?)
        The Booster vehicles should be able to support    2 launches per day, while the
        Orbiters will require  36 hours per mission, including turn-around & on-orbit time.
        Thus,      12 Boosters and        35 Orbiters will be required in the fleet.
 
 Vehicle Depot Overhaul & Replacement:
         Assume Orbiter Flights per overhaul =    50  and Booster flights =  100
         And Orbiter Life =          20 overhaul cycles and Booster               50 cycles.
         Thus Orbiter life =      1,000  missions and the Booster life is      5,000  flights.
         Meaning that  6 new Orbiters and  1 Boosters/yr.  must enter fleet each year
         to replace wearout, and  117  Orbiter +  58  Booster overhauls must
          take place each year.  If the overhauls require spending  1.5 months at the depot,
                     15 Orbiters and                     8 Boosters  are in the depot at any given time.
                     43% of active fleet              70% of active fleet
         Furthermore, flight losses must be expected.  If booster loss rate is one per     5000
         flights and the orbiter loss rate is one per  2500 flights,
                then 2  Orbiters            and         1 Boosters   are lost each year.
 
Total Fleet Size & Total Annual Replacements:
 
 Total Boosters in the fleet (and at the Depot) =     20 vehicles maintained
 Total Orbiters in the fleet (and at the Depot)  =     50 vehicles maintained 
 Total Booster Replacement Vehicles per year =     2 vehicles bought/year
 Total Orbiter Replacement Vehicles per year  =     8 vehicles bought/year
 
Total Fleet Buy:  12 year scenario - - 2008 - 2020,   300 Gwe rectenna output
             Boosters:  48  vehicles purchased
             Orbiters:  148 vehicles purchased

RDT&E & Theoretical First Unit Cost by Year:
 
 
1
2
3
4
5
6
Total
RDT&E, Booster, $M
500
1000
1500
2000
2000
1500
$8,500 
RDT&E, Orbiter, $M
800
1500
3000
3000
2500
1800
 $12,600
TFU, Booster
200
400
500
200
0
0
$1,300
TFU, Orbiter
200
450
600
400
100
0
$1,750
GSE @ 10%
170
335
560
560
460
330
$2,415
Facilities (see below)
500
800
800
1200
700
0
$4,000
 
Approximating below,
Average Unit Cost, Boosters @  82% learning =  $433  M  Total Fleet Buy =  $20,800
Average Unit Cost, Orbiters  @  82% learning =  $438  M  Total Fleet Buy =  $64,750
 
Total ETO Investment:   $113,065 millions                  =  $  377  per Kwe capacity of SSP System
                                        $1.615  millions per launch,  $18,482  per tonne   $8.38  per lbm payload
 

Facilities Cost Estimates
 
Runways 2 @ 300 ft. x 15000 ft x 5 ft thick
        1.67E+06 cu. yds. reinforced concrete @   $100  yd.             =              $167  millions
        100% for taxiways, ramps, civil engineering improvements, lighting, etc.   $167  millions

Hangars                                               W         L         H     $/ft2
        3 Booster hangars          @        300     600     100     300                     $162  millions
        8 Orbiter hangars           @        400     600     100     300                     $576  millions
        2 Mating Facilities          @        500     200     200     500                     $100  millions
        2  PL Integration bldg     @        200     300     200     500                       $60  millions
        2 Control towers            @           $10  M each                                        $20  millions
        20 Misc. minor buildings           $100,000  each                                          $2  millions
        1.0E+05 ft. Security fencing & gates @    $20.00  per ft. =                         $2  millions
 
Industrial Facilities                               W         L         H     $/ft2 
            2 Warehouses             @        300     600     40     150                        $54  millions
            3 Engine Shops           @         200     400     40     250                       $60  millions
            1 Metal Shop              @         200     300     30     250                       $15  millions
            2 LH2 ET Storage       @         200     300     30     150                       $18  millions
            20 Misc. minor buildings   $100,000  each                                              $2  millions

Administrative & Technical   W L H $/ft2 
            2   Office Buildings      @          200     200     100     200                  $160  millions
            1   Mission Control      @          200     200       30     500                    $60  millions
            20 Misc. minor buildings     $100,000     each                                         $2  millions
 
Logistics & Support                              W          L        H         $/ft2
            7,667  Housing Units  @          20         30        10     150                  $690  millions
            2 Hospitals                 @        200       300        50      500                  $300  millions
            4 Mess Facilities         @        200       300        10      150                    $36  millions
            20 Misc. minor buildings   $100,000  each                                               $2  millions
            25 miles of road         @   $1  M/mile                                                    $25  millions
            4000 acres of land     @   2500 acre                                                      $10  millions
 
Depot (by existing airfield)                      W          L        H         $/ft2
            3 Booster hangars      @          300         600     100     300                 $167  millions
            4 Orbiter hangars        @         400         600     100     300                 $322  millions
            2 Warehouses             @         300         600       40     150                   $54  millions
            3 Engine Shops           @          200         400       40     250                  $60  millions
            1 Metal Shop              @          200         300       30     250                  $15  millions
 
                                                                                     Subtotal Facilities      $3,307 millions
                                                                         Reserve for oversights   20%    $661 millions
 
                                                                          Grand Total Facilities Costs: $3,969 millions   say $4B
 
 
                                            Investment    $8.38
       ETO Operations Costs   Personnel     $2.46
                                  Parts & Supplies     $6.79
                                          Propellants    $10.59
                                             Insurance    $22.59
                               Operator Profit   $7.62
                                                     ?         $58.44

Personnel:

    Assume crews are on duty for   4 shifts/day, 6 days per week with
             25 direct people per shift per  aircraft at the operating site =  100 persons/aircraft
             6,900  direct people working at the operating site to maintain and turn-around the fleet. "
 
    Assume 2 X  that number of persons per aircraft per shift  are employed at the depot,
             4,600  direct people working at the depot

    Assume crews are on duty for 100% overhead & G&A =  11,500 indirect people employed at operating site + depot.
               for a total staff of   23,000  persons with an average st cost per man yr of   $100,000 
               Overtime @  150% straight rates yields   27,600  MYE incl. overtime
    Payroll Costs are therefore:   2760000000 dollars per year, or  $110  per Kwe delivered
               Or, per launch =  $473,170  or  $5,414  per ton =  $2.46  /pound of payload
 
Parts & Supplies:
 
Assume each Booster Flight consumes   0.10% of average unit cost per flight in parts & supplies
Assume each  Orbiter Flight consumes   0.20% of average unit cost per flight in parts & supplies
 
 Booster per Flight Parts & supplies cost     $0.43  millions =  $2.25  /pound of payload
 Orbiter per Flight Parts & Supplies cost     $0.88  millions =  $4.54  /pound of payload
         for a total Parts & supplies cost of     $1.31  millions =  $6.79  /pound of payload
 
Subtotal Direct Launch Costs:    per SSP per tonne  Total Program
                                                         per pound
 Investment (total)                              $8.38
 Personnel                                         $2.46
 Parts & Supplies                              $6.79
 Propellants, losses =  25%            $10.59
 Subtotal ETO Direct Costs             $28.22
 
 Insurance @ % TFU  0.50%        $22.59
 Operator Profit  @  15%               $ 7.62
 
 Total ETO costs:                          $58.44   per lbm.
 
 
 Sensitivity Study - - Launch Costs to persons per aircraft
 Persons/shift/aircraft =  25  100 persons per aircraft, direct
 Total number of people employed =    2.30E+04 people
 Costs for personnel=   $2.46  per lbm = 5.41E+03 per tonne =  $       110  per kWe
 Total cost of launch services  =                     $58.44  per lbm =  $128,852  per tonne
                                                                                              =  $    1,675  per kWe
 
Persons/ Launch Launch, total Persons/ Launch,
Shift/ac Costs $/kWe personnel Shift/ac
$/kWe
10
$56.74
$1,627
9,200
 
10
$1,627
20
$57.87
$1,659
18,400
 
20
$1,659
40
$60.13
$1,724
36,800
 
40
$1,724
80
$64.65
$1,853
73,600
 
80
$1,853
160
$73.68
$2,112
147,200
 
160
$2,112
320
$91.75
$2,630
294.400
 
320
$2,630
640
$127.90
$3,666
588,800
640
$3,666
1280
$200.18
$5,738
1,180,000
1280
$5,738
Ref.
$58.44
$1,675
2,300,000