CoarseProb:

Path: FormationFlying/Collision

% Coarse collision probability estimate
 Coarse probability estimate consisting of the integral outbound of the 
 tangent between a circular avoidance region and the target's position
 probability density.

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  Form: 
  Pc = CoarseProb( dR, rAvoid, sigmaU)
--------------------------------------------------------------------------
  
  -------
  Inputs:
  -------
  rRel    (1,1) or (2,1)  Magnitude of or actual relative position vector between centers
                          in the conjunction plane, where [x z] are along the major and
                          minor axes of the density envelope.
  rAvoid        (1)       Radius of avoidance region
  sigma   (1,1) or (2,2)  One-sigma target probability along the relative position vector
                          or full one-sigma probability ellipse in the conjunction plane

  -------
  Outputs:
  --------
  Pc           (1,1)      Coarse probability
  k            (1,1)      Incidence index
              
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   Reference: J. Russell Carpenter, 'Conservative Analytical Collision 
   Probability for Design of Orbital Formations', 2004
--------------------------------------------------------------------------

Children:

FormationFlying: Collision/EllipsePatch
Common: CommonData/SwooshWatermark
Common: General/CellToMat
Common: General/MatToCell
Common: General/Watermark
Common: Graphics/NewFig
Common: Graphics/Plot2D
Common: Graphics/PltStyle
Math: Linear/Mag
Math: Linear/Unit

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