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    Leg56. Chart vs formulas
    From: Andr?s Ruiz
    Date: 1999 Jul 16, 05:15 EDT

    In coastal navigation I use the charts for navigation, but when the distance 
    is outside of the chart, for me is easier to use a calculator with 
    trigonometric functions in order to obtain the DR position, or to find the 
    rhumb to a point.
    I've compared the Mid-Latitude Sailing, the RhumbLine, and the Great Circle 
    Sailing of the point 2) of the Leg 56, and here are the results.
    The distance is a great one, because of this the best method is to divide the 
    GC track in small legs, and sail between them by a rhumbline, from a waypoint 
    to another.
        Lat1
                 Lon1
                 R
                 d
                 Lat2
                 Lon2
    
    
                LatitudMed
                 R, d ?
                 -42.6633
                 -98.8583
                 124.3904
                 1487.5287
                 -56.6667
                 -67.25
    
    
                Loxodromica
                 R, d ?
                 -42.6633
                 -98.8583
                 124.5705
                 1480.7388
                 -56.6667
                 -67.25
    
    
                Ortodromica
                 R, d ?
                 -42.6633
                 -98.8583
                 135.9026
                 1466.8856
                 -56.6667
                 -67.25
    
    
                Ortodromica
                 WayPoint
                 -42.6633
                 -98.8583
                 135.9026
                 506.8132
                 -48.4098
                 -90
    
                Ortodromica
                 WayPoint
                 -48.4098
                 -90
                 129.5663
                 245.2815
                 -50.9095
                 -85
    
                Ortodromica
                 WayPoint
                 -50.9095
                 -85
                 125.7533
                 222.4828
                 -52.9731
                 -80
    
                Ortodromica
                 WayPoint
                 -52.9731
                 -80
                 121.8148
                 204.0477
                 -54.6645
                 -75
    
                Ortodromica
                 WayPoint
                 -54.6645
                 -75
                 117.7777
                 189.2925
                 -56.0348
                 -70
    
                Ortodromica
                 WayPoint
                 -56.0348
                 -70
                 113.6634
                 177.6471
                 -57.1245
                 -65
    
                Ortodromica
                 WayPoint
                 -57.1245
                 -65
                 289.4892
                 78.6791
                 -56.6667
                 -67.25
    
    If you want, in the address below, you can find the algorithm for mercator 
    sailing and rhumbLines. The titles are in Spanish, but the algorithm are 
    mathematics, universal language.
    http://www.geocities.com/CapeCanaveral/Runway/3568/index.html [Navigation] [Mercator sailing]
    I translate some words for anyone interested:
    Rumbo y distancia Course and distance
    Posicion. La estima Dead reckoning
    Loxodromica Loxodromic or rhumbLines
    Partes meridionales Meridional parts
    I don't know what is the difference between mercator sailing and rhumbline, for me is the same ??
    Andr?s Ruiz
    e-mail: aruiz{at}XXX.XXX
    http://www.geocities.com/CapeCanaveral/Runway/3568/index.html
    
    

       
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