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    More Space Navigation
    From: Dan Allen
    Date: 2003 Feb 13, 21:54 -0800

    I found another book of mine which I haven't read for a long time which
    is even better than the other book I mentioned for this topic:
    T: An Introduction to The Mathematics and Methods of Astrodynamics
    A: Richard H. Battin
    D: 1987
    P: American Institute of Aeronautics & Astronautics, NY
    Lots of math, Kepler's equation, 2 and 3 body dynamics, variation of
    parameters and other advanced math occupy the bulk of the book (796
    pages in hardback), but the last two chapters are gems:
    Chapter 13: The Celestial Position Fix
    Error analysis, a method of correcting clock errors by having 4
    independent measurements to ascertain a position in 3 dimensions and to
    check on time (sounds like a lunar, eh?)
    Chapter 14: Space Navigation
    Recursive estimation, correlated measurement errors, and other ways of
    using statistics to improve position accuracy
    The first paragraph of chapter 13 lays out the problem as follows:
       "In many respects the navigation position fix obtained from celestial
    observations made aboard a spacecraft is similar to the problem
    encountered by the seagoing and airborne navigators.  The fundamental
    differences are (1) the spacecraft problem is truly three dimensional
    and (2) the forces governing the motion of the spacecraft are far
    better known than the motions of the terrestrial seas and air masses.
    Therefore, although the first difference noted tends to complicate the
    problem, the second makes the task somewhat easier and the resulting
    computations and extrapolations capable of greater precision." (Battin
    1987: page 623)

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