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    Re: Two-body fix caveat
    From: Andrés Ruiz
    Date: 2009 Nov 4, 11:12 +0100

    Solving this singular case with Van Allen’s method: no solution. Vector Solution works fine.

     

    An analytical solution of the two star sight problem of celestial navigation

    James A. Van Allen. NAVIGATION Vol. 28, No. 1, 1981

    iter  Err   Be    Le    B1    L1    B2    L2    GHA1f dec1f GHA2f dec2f

    0     NaN   NaN   NaN   NaN   NaN   NaN   NaN   10.000000   0.000010    0.000000    -0.000010

    I1: NaN     NaN

    I2: NaN     NaN

     

     

    Vector Solution for the Intersection of two Circles of Equal Altitude

    THE JOURNAL OF NAVIGATION (2008), 61, 355-365. The Royal Institute of Navigation

    Andrés Ruiz González - Navigational Algorithms - http://sites.google.com/site/navigationalalgorithms/

    iter  Err   Be    Le    B1    L1    B2    L2    GHA1f dec1f GHA2f dec2f

    0     134.146176409012696     0.000058    -20.000000  0.000058    -20.000000  0.000001    -20.000000   10.000000   0.000010    0.000000    -0.000010

    I1: 0.00000 -20.000000

    I2: 0.00000 -20.000000

     

     

     

     

     

    Andrés Ruiz

    Navigational Algorithms

    http://sites.google.com/site/navigationalalgorithms/

     

     


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