NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Formulas to Compute LHA
From: Ken Gebhart
Date: 2009 Jun 28, 18:16 -0500
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 Corlwrote: >> 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 - > > --~--~---------~--~----~------------~-------~--~----~ Navigation List archive: www.fer3.com/arc To post, email NavList@fer3.com To , email NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---