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    Re: Lunars and pixels
    From: John Huth
    Date: 2010 Dec 13, 09:33 -0500
    Jeremy  - 

    The class is titled "Primitive Navigation" - it's something of an excuse to teach some physics, climatology, statistics and the like under the rubric of navigation.    There's another course at Harvard called Celestial Navigation that has a long and distinguished history, but doesn't have enough science in it to justify it counting toward credit in the sciences.   This was designed explicitly to satisfy a science requirement.   Mainly majors in humanities take it, so I cannot assume too much mathematical sophistication.

    Some slices of the course:

    Physics:
    vectors, displacement, velocity, acceleration
    forces, torques
    pressure
    fluid statics
    fluid dynamics
    Newtonian gravity
    Electromagnetic waves, polarization
    Water (surface) waves
    Refraction
    Diffraction, interference
    Some thermo - adiabatic cooling, heat transfer, convection, equation of state

    Earth sciences, climatology etc
    Ekman transport  
    Ekman spirals
    Ocean currents
    El Nino
    Global convection cells
    Jet stream
    Monsoon
    Fronts
    Cyclonic storms
    Ionosphere
    Tides

    Misc. 
    Birds
    Bioluminescence
    How the brain stores spatial information

    Navigational cultures
    Polynesian
    Norse
    Arab
    Western european
    Boat stability, design, hull speed
    Sail design 

    Statistics
    Mean, std. dev
    Uncertainties
    Propagation of uncertainties
    Variance, co-variance
    Correlations
    T-test

    All of this is mixed together with applications to navigation.   Example - we do one assignment on radio triangulation, where we give them cheap AM radios and they use the latitude and longitude of transmitters to find their latitude and longitude by finding the bearing of nulls on the radios.    

    I also had the opportunity to correct many of the misconceptions in popular literature.   For example - in the static theory of tides, one often hears something like "the pull of the moon creates the near side bulge and the centrifugal force creates the far side bulge"     I see this so often, it gets me irritated - so I walk them through a proper discussion of tides.

    There's a similar problem with the description of lift in popular texts, where Bernoulli is invoked, but there's no mention of the role of fluid inertia or viscosity, which are absolutely essential to a proper theory of lift.   

    Then, there are the final projects as you saw.

    Best,

    John H. 


    On Mon, Dec 13, 2010 at 7:34 AM, <Anabasis75@aol.com> wrote:
    What class is this and what level of education are these students?  Just curious.
     
    Jeremy
     
    In a message dated 12/12/2010 1:55:52 A.M. Central Asia Standard Tim, apacherunner@gmail.com writes:

    Since this was discussed extensively just a little while ago, I thought I'd share the experience of some of my students in doing lunars with pixels.   Some of the trials and tribulations may sound familiar to some of you.    

    They calibrated their pixel width using stars in Leo, and then did a Sunset - Lunar time difference and did shots of the Moon and Regulus.    One of the bigger issues was pixel bleeding - in order to get a decent image of Regulus, the disk of the Moon became overexposed and quite fuzzy.   They only did as well as 5 degrees in longitude using this, and their conclusion was that navigators "back in the day" had to have considerable patience to do lunars.       

    Here are some of the other projects they did

    clepsydra
    orientation of saxon and norman churches
    viking sun stone
    map-making using the techniques of Lewis and Clark
    Latitude and longitude from sunset/sunrise and meridian passage
    Accuracy of backstaves
    Nocturnals
    Construction of a sun compass
    Latitude and longitude from satellite dishes

    All of them had to do some statistical analysis of their results.    I was pleasantly surprised by some of the results.   In particular, I was amazed at the accuracy of the sunstone.    They used some optical quality calcite, and used it to find north at sunset.   They were systematically off in their measurements, and were perplexed until I pointed out that the sun was (is) setting south of due west this time of year.   When they put this in, the measurements were spot -on.    As we talked about before, one doesn't know if sunstones were really employed by the vikings.   I'm simply pointing out that they do work, and I was surprised at how well they did.





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    Keeping up with the grind
       
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