-------------------------------------------------------------
This describes the transformations for stowing and un-stowing
the configuration.

Note:  The transformations to/from stowed/unstowed coordinates are 
based on calibrations using QA data and stowed/unstowed orifice 
locations.  Therefore, they are approximate (close but not exact).

Chris Rumsey & Judi Hannon
NASA LaRC
MS 128
Hampton VA 23681 
10-21-2009  
Note (above) added 6-22-2011
-------------------------------------------------------------

FLAP: Deployed - to - Stowed

deployed coords are (xd, yd, zd)

Transformation algorithm:

yd    = yd + 0.95 (inches)

Config 1:                      Config 8:
phi   = 10.2368   (deg)        phi   = 8.012    (deg)
theta = -24.1619  (deg)        theta = -19.594  (deg)
psi   = 4.0248    (deg)        psi   = 3.280    (deg)
xt    = -8.7138   (inches)     xt    = -7.482   (inches)
yt    = -3.0321   (inches)     yt    = -2.652   (inches)
zt    = -15.9906  (inches)     zt    = -13.198  (inches)

cphi  = cos(phi)
sphi  = sin(phi)
ctheta= cos(theta)
stheta= sin(theta)
cpsi  = cos(psi)
spsi  = sin(psi)

xs    =ctheta*cpsi*(xd+xt) - ctheta*spsi*(yd+yt) + stheta*(zd+zt)
ys    =(cphi*spsi+sphi*stheta*cpsi)*(xd+xt) +
                      (cphi*cpsi-sphi*stheta*spsi)*(yd+yt) -
                      sphi*ctheta*(zd+zt)
zs    =(sphi*spsi-cphi*stheta*cpsi)*(xd+xt) +
                      (sphi*cpsi+cphi*stheta*spsi)*(yd+yt) +
                      cphi*ctheta*(zd+zt)

ys    = ys - 0.95 (inches)

stowed coordinates are (xs, ys, zs)



FLAP: Stowed - to - Deployed

stowed coordinates are (xs, ys, zs)

Transformation algorithm:

ys    = ys + 0.95 (inches)

Config 1:                      Config 8:
phi   = -10.2368 (deg)         phi   = -8.012  (deg)
theta = 24.1619  (deg)         theta = 19.594  (deg)
psi   = -4.0248  (deg)         psi   = -3.280  (deg)
xt    = 8.7138   (inches)      xt    = 7.482   (inches)
yt    = 3.0321   (inches)      yt    = 2.652   (inches)
zt    = 15.9906  (inches)      zt    = 13.198  (inches)

cphi  = cos(phi)
sphi  = sin(phi)
ctheta= cos(theta)
stheta= sin(theta)
cpsi  = cos(psi)
spsi  = sin(psi)

xd    =xt+cpsi*ctheta*xs +
                     (cpsi*stheta*sphi-spsi*cphi)*ys +
                     (cpsi*stheta*cphi+spsi*sphi)*zs
yd    =yt+spsi*ctheta*xs +
                     (spsi*stheta*sphi+cpsi*cphi)*ys +
                     (spsi*stheta*cphi-cpsi*sphi)*zs
zd    =zt-stheta*xs+ctheta*sphi*ys+ctheta*cphi*zs

yd    = yd - 0.95 (inches)

deployed coordinates are (xd, yd, zd)



SLAT: Deployed - to - Stowed

deployed coords are (xd, yd, zd)

Transformation algorithm:

yd    = yd + 0.95 (inches)

Config 1 and 8:
phi   = -17.43    (deg)
theta = 24.82     (deg)
psi   = 3.73      (deg)
xt    = 1.8906    (inches)
yt    = 1.2778    (inches)
zt    = 4.5324    (inches)

cphi  = cos(phi)
sphi  = sin(phi)
ctheta= cos(theta)
stheta= sin(theta)
cpsi  = cos(psi)
spsi  = sin(psi)

xs    =ctheta*cpsi*(xd+xt) - ctheta*spsi*(yd+yt) + stheta*(zd+zt)
ys    =(cphi*spsi+sphi*stheta*cpsi)*(xd+xt) +
                      (cphi*cpsi-sphi*stheta*spsi)*(yd+yt) -
                      sphi*ctheta*(zd+zt)
zs    =(sphi*spsi-cphi*stheta*cpsi)*(xd+xt) +
                      (sphi*cpsi+cphi*stheta*spsi)*(yd+yt) +
                      cphi*ctheta*(zd+zt)

ys    = ys - 0.95 (inches)

stowed coordinates are (xs, ys, zs)



SLAT: Stowed - to - Deployed

stowed coordinates are (xs, ys, zs)

Transformation algorithm:

ys    = ys + 0.95 (inches)

Config 1 and 8:
phi   = 17.43    (deg)
theta = -24.82   (deg)
psi   = -3.73    (deg)
xt    = -1.8906  (inches)
yt    = -1.2778  (inches)
zt    = -4.5324  (inches)

cphi  = cos(phi)
sphi  = sin(phi)
ctheta= cos(theta)
stheta= sin(theta)
cpsi  = cos(psi)
spsi  = sin(psi)

xd    =xt+cpsi*ctheta*xs +
                     (cpsi*stheta*sphi-spsi*cphi)*ys +
                     (cpsi*stheta*cphi+spsi*sphi)*zs
yd    =yt+spsi*ctheta*xs +
                     (spsi*stheta*sphi+cpsi*cphi)*ys +
                     (spsi*stheta*cphi-cpsi*sphi)*zs
zd    =zt-stheta*xs+ctheta*sphi*ys+ctheta*cphi*zs

yd    = yd - 0.95 (inches)

deployed coordinates are (xd, yd, zd)