CollisionMonAlg:

Path: FormationFlying/Collision

% Collision monitoring algorithm for maneuvering spacecraft. 
 Discretizes orbit according to input time and anomaly vectors. Handles 
 high eccentricity and maneuvers input through acceleration vector.

--------------------------------------------------------------------------
  Form:
  [prob, dMin, Shat, xhat] = CollisionMonAlg( y, t, M, nu, accel, aDiff, d )
--------------------------------------------------------------------------

   Inputs
   ------
   y      (6,m)   Relative state(s)
   t      (1,n)   Time vector [s]
   M      (1,n)   Mean anomaly vector
   nu     (1,n)   True anomaly vector
   accel   {m}    Accelerations due to maneuvers
   aDiff  (3,m)   Differential accelerations
   d       (.)    Algorithm data structure
                  .el0           Initial elements
                  .eRef          Eccentricity
                  .MRef          Mean anomaly
                  .initBounds    Error in measurement (6,1) [km, km/s]
                  .scalev        Sigma for measurement noise
                  .lenSC         Spacecraft length [m]
                  .Pmin          Probability of scalev
                  .Ssc           Spacecraft hard-body sphere
                  .S0            Initial ellipsoid

   Outputs
   --------
   prob   {n}(1,:)     probability of collision    
   d      {n}(1,:)     minimum distance between spacecraft position ellipsoids
   xhat   {n}(6,:)     xhat, ellipsoid centers
   Shat   {n}(6,6,:)   Shat, ellipsoid size matrices
 
--------------------------------------------------------------------------
     Reference:  Mark Campbell, Collision Monitoring Within Satellite
                 Clusters. IEEE Transactions on Control Systems 
                 Technology, Jan. 2005
--------------------------------------------------------------------------

Children:

FormationFlying: Collision/CollProbSet
FormationFlying: Collision/DistantPtToEll
FormationFlying: Collision/Ellipsoid
FormationFlying: Collision/Laguerre
FormationFlying: EccDynamics/FFEccLinOrb
FormationFlying: Transformation/DeltaEl2Alfriend
FormationFlying: Transformation/DeltaElem2Hills
FormationFlying: Transformation/Hills2DeltaElem
FormationFlying: Utility/NuDot
Orbit: OrbitCoord/El2Alfriend
Orbit: OrbitMechanics/GVEDynamics
SC: BasicOrbit/E2Nu
SC: BasicOrbit/M2E
SC: BasicOrbit/M2EApp
SC: BasicOrbit/M2EEl
SC: BasicOrbit/M2EHy
SC: BasicOrbit/M2Nu
SC: BasicOrbit/M2NuPb
SC: BasicOrbit/OrbRate
Common: CommonData/SwooshWatermark
Common: Control/C2DZOH
Common: General/CellToMat
Common: General/MatToCell
Common: General/Watermark
Common: Graphics/NewFig
Common: Graphics/Plot2D
Common: Graphics/PltStyle
Common: Transform/Eul2Mat
Math: Linear/DupVect
Math: Linear/Mag
Math: Linear/Unit
Math: Trigonometry/UnwrapPhase
Math: Trigonometry/WrapPhase

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