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    Re: Direct methods
    From: Andrés Ruiz
    Date: 2007 Nov 5, 08:36 +0100

    Here is the information in old posts about

     

    Position from crossing two circles of equal altitude

    c++ source for (Van Allen): http://fer3.com/arc/m2.aspx?y=200606&i=030630

     

    Other papers 2 CoP:

    1.       THE DIRECT FIX OF LATITUDE AND LONGITUDE FROM TWO OBSERVED ALTITUDES Stanley W. Gery NAVIGATION Vol. 44, No. 1, 1997

    2.       AN ANALYTICAL SOLUTION OF THE TWO STAR SIGHT PROBLEM OF CELESTIAL NAVIGATION James A. Van Allen. NAVIGATION Vol. 28, No. 1, 1981

    3.       Unambiguous two body fix methods derived from crystallographic principles, Torben Kjer. Journal of The Institute of Navigation Vol. 28, No. 1, 1981

    4.       K-12 METHOD BY CALCULATOR: A SINGLE PROGRAM FOR ALL CELESTIAL FIXES, DIRECTLY OR BY POSITION LINES S. Kotlaric. NAVIGATION Vol. 28, No. 1, 1981

    5.       GENERAL CONVENTIONS AND SOLUTIONS-THEIR USE IN CELESTIAL NAVIGATION G. G. Bennett. NAVIGATION Vol. 26, No. 4, 1979

    6.       A COMPLETELY PROGRAMMABLE METHOD OF CELESTIAL NAVIGATION C. T. Daub. NAVIGATION Vol. 26, No. 1, 1979

    7.       A NEW METHOD OF CELESTIAL NAVIGATION R. E. Ogilvie. NAVIGATION Vol. 24, No. 1, 1977

    8.       TWO BODY FIXES BY CALCULATOR M. F. A’Hearn and G. S. Rossano. NAVIGATION Vol. 24, No. 1, 1977

    9.       COMPUTER SIGHT REDUCTION BASED ON INTERSECTION OF EQUAL ALTITUDE CIRCLES R. W. Flynn. NAVIGATION Vol. 19, No. 1, 1972

    10.   NEW SHORT METHOD TABLES (K11) FOR DIRECT FINDING OF A TWO STAR FIX WITHOUT USE OF ALTITUDE DIFFERENCE METHOD Stjepo Kotlaric. NAVIGATION Vol. 18, No. 4, 1971

    11.   DIRECT METHODS OF LATITUDE AND LONGITUDE DETERMINATION BY MINI-COMPUTER C. Wight. NAVIGATION Vol. 23, No. 2, 1976

    12.   FINDING LATITUDE AND LONGITUDE BY CALCULATORS C. Fox. NAVIGATION  Vol. 22, No. 4, 1975

    13.   A SIMULTANEOUS TWO-STAR FIX Charles T. Dozier. NAVIGATION Vol. 2, No. 4, 1949

    14.   AN ENGINEERING APPROACH TO THE MATHEMATICS OF CELESTIAL NAVIGATION Joseph W. Little. NAVIGATION  Vol. 14, No. 3, 1967

     

    In the shareware available at my web site, the Van Allen method is implemented:

     

    Almanaque Nautico.exe - 2CoP (interface in spanish)

    CelestialFix.exe

     

    General methods for 2 CoP:

    1. Van Allen
    2. Andrés Ruiz - RIN

     

    General methods for n LoP:

    1. de Witt/Compact Data/Nautical Almanac algorithm

    General methods for n CoP:

    1. Sight Reduction with matrices
    2. Metcalf
    3. Kaplan

    Andrés Ruiz

    Navigational Algorithms

    http://www.geocities.com/andresruizgonzalez


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