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    Re: LOP's without DR Position
    From: Andrés Ruiz
    Date: 2015 Feb 27, 12:55 +0100
    3 observations
    - attached the paper from my Web about SR with matrices, and an excel sheet.
    - Gauss 2/3 altitude problem


    • Celestial Fix - 2 LoP analytic solution. 1999, Andrés Ruiz González, Navigational Algorithms http://sites.google.com/site/navigationalalgorithms/

    • Celestial Fix - n LoPs NA Sight Reduction algorithm. Paper & Excel. 1999, Andrés Ruiz González, Navigational Algorithms http://sites.google.com/site/navigationalalgorithms/

    • Vector equation of the Circle of Position. 2006, Andrés Ruiz González, Navigational Algorithms http://sites.google.com/site/navigationalalgorithms/

    • Vector Solution for the Intersection of Two Circles of Equal Altitude. Andrés Ruiz González. The Journal of Navigation, Volume 61, Issue 02, April 2008, pp 355-365

    • Sight Reduction - Matrix solution. Paper & Excel. 2006, Andrés Ruiz González, Navigational Algorithms http://sites.google.com/site/navigationalalgorithms/

    • Use of rotation matrices to plot a circle of equal altitude. Journal of Maritime Research Volume 8, Number 3. 2011. ISSN: 1697-4840. Andrés Ruiz González.

    • Van Allen, J. A., An Analytical Solution of the Two Star Sight Problem of Celestial Navigation, NAVIGATION, Journal of The Institute of Navigation, Vol. 28, No. 1, Spring 1981, pp. 40-43.

    • Applications of Complex Analysis to Celestial Navigation. Robin G. Stuart

    • Kaplan, G. H. (1995). Practical Sailing Formulas for Rhumb-Line Tracks on an Oblate Earth, Navigation, Vol. 42, No. 2, pp. 313-326.

    • Kaplan, G. H. (1995). Determining the Position and Motion of a Vessel from Celestial Observations, Navigation, Vol. 42, No. 4, pp. 631-648. http://aa.usno.navy.mil/publications/docs/reports PDF (113K) or PostScript (100K).

    • Kaplan, G. H. (1996). The Motion of the Observer in Celestial Navigation, Navigator's Newsletter, Issue 51 (Spring 1996), pp. 10-14.

    • Kaplan, G. H. (1996). A Navigation Solution Involving Changes to Course and Speed, Navigation, Vol. 43, No. 4, pp. 469-482.

    • Kaplan, G. H. (1999). New Technology for Celestial Navigation, to be published in the Proceedings of the Nautical Almanac Office Sesquicentennial Symposium.

    • Metcalf and Metcalf. On the Overdetermined Celestial Fix, NAVIGATION, Vol. 38, No. 1, Spring 1991, pp 79-89.

    • Metcalf, T. R. Advancing Celestial Circles of Position, NAVIGATION, Vol. 38, No. 3, Fall 1991, pp 285-288.

    • Metcalf, T. R. An Extension to the Overdetermined Celestial Fix, NAVIGATION, Vol. 39, No. 4, Winter 1992-93, pp. 477-480.

    • Metcalf T.R. and Metcalf F.T. Piloting with Celestial Algorithms, NAVIGATION, Vol. 41, No. 2, Summer 1994, pp 207-214.

    • Optimal Estimation of a Multi-Star Fix, C. De Wit. NAVIGATION, Vol.21, No. 4, Winter 1974-75, pp 320-325.

    • Low-Precision Formulae for Planetary Positions, Van Flandern T. C., Pulkkinen, K. F. (1979) , 1979, Astrophysical Journal Supplement Series, Vol. 41, pp. 391-411.

    • Watkins. R. and Janiczek. P. M., Sight Reduction with Matrices, NAVIGATION, Journal of The Institute of Navigation, Vol. 25, No. 4, Winter 1978-79, pp. 447-48

    • Robert W. Severance. OVERDETERMINED CELESTIAL FIX BY ITERATION. IoN Vol. 36, No. 4, 1989

    • Computer sight reduction based on intersection of equal altitude circles. R. W. Flynn. Ion vol. 19, no. 1, 1972

    • Position From Observation Of A Single Body. James N. Wilson. Navigation IoN Vol. 32, No. 1, 1985

    • A Vector Solution for Navigation on a Great Ellipse. Michael A. Earle. Journal of Navigation, Volume 53, Issue 03, September 2000, pp 473-481

    General ref to the problem:


    best regards my friend!
    --
    Andrés Ruiz
    Navigational Algorithms
    http://sites.google.com/site/navigationalalgorithms/

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    File: 130490.srwithmatrices.xls
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