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    Re: Formulas to Compute LHA
    From: Ken Gebhart
    Date: 2009 Jun 28, 18:16 -0500

    Greg,
    
    I don't think this is it.  The W&P "slide rule" is not a slide rule  
    at all.  It has no logarithmic scales on it.  You can only add or  
    subtract hour angles on it. Not very useful.  I post this so that no  
    one will waste their money buying one on eBay.
    
    Ken Gebhart
    On Jun 27, 2009, at 8:38 PM, Greg Rudzinski wrote:
    
    >
    > Andrew,
    >
    > I believe the time diagram refered to is the Weems & Plath celestial
    > slide rule. Google search this item for a description then look one on
    > eBay.
    >
    > Greg
    >
    > On Jun 27, 5:27 pm, Andrew Corl  wrote:
    >> I am interested in this diagram,  where can I find it?
    >>
    >> Andrew
    >>
    >> ________________________________
    >> From: chempro 
    >> To: NavList 
    >> Sent: Saturday, June 27, 2009 11:00:31 AM
    >> Subject: [NavList 8849] Re: Formulas to Compute LHA
    >>
    >> Why dont you learn to use a TIME DIAGRAM? It simplfies ALL of the
    >> concepts.It can universally used for all reduction methods from  
    >> Ageton
    >> to NASR. Chempro-Dr Will
    >>
    >> On Jun 24, 8:07 am, Gary LaPook  wrote:
    >>
    >>> To see that you can use hour angle and LHA equally well, you just  
    >>> have
    >>> to look at H.O. 249. Look at the LHA columns at each edge of the  
    >>> page
    >>> and you will see that you get the same Hc for two values of LHA.  
    >>> Look at
    >>> LHA 10 and LHA 350 on this example page:
    >>
    >>> http://www.fer3.com/arc/img/106576.2007-page%20152.pdf
    >>
    >>> LHA 10 is the same as hour angle 10 west., LHA 350 is the same as  
    >>> hour
    >>> angle 10 east.
    >>
    >>> This relationship is not so evident if you just look at H.O 229  
    >>> due to
    >>> the arrangement of the tables.
    >>> gl
    >>
    >>> Gary LaPook wrote:
    >>>> Remember, LHA is in the range of 0� to 360� and is always  
    >>>> measured to
    >>>> the west from the assumed longitude (ALon). It is the angle  
    >>>> measured
    >>>> westward from the meridian of the ALon to the meridian  
    >>>> containing the
    >>>> body's grographic position (GP). There is no such thing as  
    >>>> easterly LHA.
    >>
    >>>> In the past, various computations methods and tables (e.g H.O.  
    >>>> 214) used
    >>>> "hour angle," (abbreviated "H.A." or "H" or "t"), which is the  
    >>>> angle
    >>>> measured between the meridian of the ALon and the meridian  
    >>>> containing
    >>>> the body's GP measured the shortest way, either west or east.  
    >>>> Using this
    >>>> notation, hour angle ends up in the range of 0� to 180� only and is
    >>>> denoted "east" or "west." Because of the the way the trig  
    >>>> formulas work,
    >>>> using either method computes the same Hc and the same "azimuth  
    >>>> angle"
    >>>> ("Az" or "Z"). The only thing affected by choice of notation is the
    >>>> method used for the final determination of Zn,(azimuth used for  
    >>>> plotting
    >>>> the LOP.)
    >>
    >>>> The original Bygrave used hour angle, not LHA, and the scales were
    >>>> marked from 0� to 90� and then back the other way, 90� to 180�. My
    >>>> implementation of the Bygrave eliminated the second set of  
    >>>> markings on
    >>>> the scale, 90�-180�, to eliminate clutter so I added an extra  
    >>>> step to
    >>>> bring hour angle into the range of 0� to 90� only and provided the
    >>>> necessary rules for the final computation of Zn. This is what is
    >>>> happening on the top of the form I provided. If LHA is less than  
    >>>> 90�, H
    >>>> = LHA; if LHA is greater than 90� but less than 180�, H = 180� -  
    >>>> LHA; if
    >>>> LHA is greater than 180� but less than 270� then H = LHA - 180�;  
    >>>> and if
    >>>> LHA is greater than 270� but less than 360�, H = 360 �- LHA.
    >>>> Conceptually, this is the smallest angle measured from either  
    >>>> the upper
    >>>> branch or from the lower branch of the observer's meridian to the
    >>>> meridian containing the body's GP.
    >>
    >>>> See the revised form at:
    >>
    >>>> http://www.fer3.com/arc/img/108719.revised%20form%206-18-09.pdf
    >>
    >>>> The formulas for calculating LHA are:
    >>
    >>>> If your AP is in west longitude: LHA = GHA - ALon. (If  
    >>>> necessary, add
    >>>> 360 �to GHA prior to subtracting ALon.)
    >>
    >>>> If your AP is in east longitude: LHA = GHA + ALan. (if LHA then  
    >>>> exceeds
    >>>> 360�, subtract 360� from the result.)
    >>
    >>>> Using the first formula for your first two examples, GHA (55� +  
    >>>> 360�) -
    >>>> 77� = LHA = 338�.
    >>
    >>>> GHA 95� - 77� = LHA = 18�
    >>
    >>>> The third example you bring up makes no sense since GHA is never
    >>>> measured to the east, it is always measured west from Greenwich.
    >>
    >>>> gl
    >>
    >>>> Andrew Corl wrote:
    >>
    >>>>> All,
    >>
    >>>>> I need some help.  I am attempting to work the problem in Ocean
    >>>>> Navigator using the Lapook-Bygrave Slide Rule.  I am uncertain  
    >>>>> how to
    >>>>> compute the Local Hour Angle (LHA).
    >>
    >>>>> In the following cases I am assuming my longitude to be 77 degrees
    >>>>> west of Greenwich.
    >>
    >>>>> 1. The GHA of the Sun is 55 degrees west of Greenwich
    >>>>> 2. The GHA of the Sun is 95 degrees west of Greenwich
    >>
    >>>>> In the following cases I am assuming my longitude to be 120  
    >>>>> degrees
    >>>>> west of Greenwich
    >>
    >>>>> 1. The GHA of the sun is 170 degrees east of Greenwich.
    >>
    >>>>> Also what is the formula if my position is east of Greenwich  
    >>>>> and the
    >>>>> sun has a GHA of more than 180 degrees?
    >>
    >>>>> Thanks
    >>>>> Andrew- Hide quoted text -
    >>
    >>> - Show quoted text -
    > >
    
    
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