Apps

Space Shuttle

Apps.SpaceShuttle History

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December 11, 2014, at 12:03 AM by 107.188.175.164 -
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* %list list-page% [[Attach:shuttle.zip | Shuttle Launch Optimization Code (MATLAB)]]
to:
* %list list-page% [[Attach:moon_launch.zip | Moon Launch Optimization Code (MATLAB)]]
December 11, 2014, at 12:02 AM by 107.188.175.164 -
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* %list list-page% [[Attach:shuttle.apm | Shuttle Launch Model]]
to:
* %list list-page% [[Attach:shuttle.apm | Shuttle Launch Simulation Model]]
* %list list-page% [[Attach:shuttle.zip | Shuttle Launch Optimization Code (MATLAB)
]]
March 06, 2010, at 02:46 AM by 206.180.155.75 -
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(:html:)<font size=1><pre>
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April 23, 2009, at 10:53 AM by 158.35.225.231 -
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(:html:)<font size=1><pre>
! APMonitor Modeling Language
! http://www.apmonitor.com

! Endeavor shuttle launch simulation
! The shuttle rises to 380 km and has a
!  velocity of 7.68 km/sec at the final state
Model endeavor

  Parameters
      ! cross-sectional area of shuttle
      ! solid rocket booster (srb)
      !  cross-sectional area 10.8 m^2
      !  diameter 3.71 m
      ! 1st stage
      !  cross-sectional area 55.4 m^2
      !  diameter 8.4 m 
      ! orbiter
      !  cross-sectional area ~ 20 m^2                 
      d0 = 100.0      ! 1st drag constant (N/(m/s)^2)
      e0 = 1.0        ! 2nd drag constant (dimensionless)
      g0 = 9.8        ! gravity at launch (m/s^2)
      m0 = 2029203    ! mass of shuttle at launch
      h0 = 1000        ! initial height from earth's center (m)
      c  = 1.5e7      ! impulse of rocket fuel (N/(kg/sec))
      t_srb = 12.5e6  ! 2 solid rocket boosters (HMX)
                      ! each have 12.5e6 N of thrust at lift-off
                      ! they burn for 124 sec to height of 45.7 km
                      ! they are released at 126 sec
      t_1st = 5.25e6  ! 1st stage fuel tank (liq H2/O2) has
                      !  5.25e6 N of thrust at lift-off
                      !  it fires for 480 sec when it is released
      t_orb = 53.0e3  ! orbiter (MMH/N2O4) has 53e3 N of
                      !  thrust at lift-off
                      ! it fires for 1250 sec
      n_srb = 2        ! number of solid rocket boosters
      n_1st = 1        ! number of 1st stage thrusters
      n_orb = 1        ! number of orbiter thrusters
  End Parameters

  Variables
      t                ! thrust force (N)
                      !  0 < t < t_max
      m = m0          ! mass of shuttle and fuel (kg)
                      !  m_shuttle < m < m_full
      g = g0          ! gravitational force
      h = h0          ! altitude from earth's center (m)
                      !  h > h0
      d = 1            ! drag force (N)   
      v = 0            ! velocity (m/s)
      a = 0            ! acceleration (m/s^2)                   
  End Variables

  Equations
      ! thrust
      t = n_srb * t_srb + n_1st * t_1st + n_orb * t_orb

      ! gravitational variation with height
      g = g0 * (h0/h)^2

      ! velocity
      $h = v

      ! acceleration
      $v = a

      ! force balance
      ! inertial + gravitational + drag = thrust
      m*a + m*g + d = t

      ! aerodynamic drag force
      d = d0 * v^2 * exp(-e0*(h-h0)/h0)

      ! mass loss due to burn-off of fuel
      c * $m = -t + 0*m
  End Equations

End Model
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November 10, 2008, at 11:46 AM by 158.35.225.231 -
Changed line 1 from:
!! Endeavor Space Shuttle Launch Simulation
to:
!! Space Shuttle Launch Simulation
November 04, 2008, at 08:39 AM by 158.35.225.231 -
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Attach:shuttle.jpg
November 03, 2008, at 08:56 PM by 98.199.241.177 -
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!! Endeavor Space Shuttle Launch Simulation

* %list list-page% [[Attach:shuttle.apm | Shuttle Launch Model]]

The shuttle rises to 380 km and has a velocity of 7.68 km/sec at the final state.