NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Please help me with the math Re: learning sight reduction
From: Guy Schwartz
Date: 2006 May 3, 22:53 -0500
I'm glad this topic came up because it was my next question.
I have not had Trig however I can follow instructions.
I too have the Casio fx 260 calculator, which as mentioned below is great
because it has sexagesimal input.
OK so here is the formula I have sin
(Hc)=sin(dec)sin(lat)+cos(dec)cos(lat)cos(dlo)
question 1 is dlo the same as LHA? if not what is dlo?
question 2 is this formula telling me to mutiply sin(dec) by sin(lat) and
then add it to multiplication of cos(dec) by cos(lat) by cos(dlo)
question 3 if my methodlogy of question 2 is correct, then how do I get the
result back to degrees and minutes for the answer Hc?
question 4 what is the difference in accuracy of HO 240 Vs Ho229 Vs
calculator?
Thank you,
Guy
----- Original Message -----
From: "Alexandre E Eremenko" <eremenko@math.purdue.edu>
To: <NavList@fer3.com>
Sent: Tuesday, May 02, 2006 1:23 PM
Subject: [NavList 81] Re: learning sight reduction
>
>
>
> Just few words in defense of calculators:
>
> On Tue, 2 May 2006, Bill Burchell wrote:
>
>> While most seem to graduate to pocket calculators, programmable
>> calculators,
>> or dedicated units to do their sight reductions (as I have) a tabular
>> method
>> is a great starting point and a great backup should all your electronics
>> go
>> south. (The water and electricity relationship has a rough history.)
>
> 1. Have TWO calculators. One in a sealed plastic bag, (sold in
> every supermarket) in the
> bottom of your sac. Two calculators and the plastic bag are still
> cheaper and ocupy substantially
> less space than any volume of reduction
> tables.
> 2. Both your calculators are not more likely "to go South" using
> Bill's expression, than your set of tables:-)
> 3. If you want to depend on the tables, CHECK them before
> you go to a long trip. Once Bill gave me his tables (bought in
> Celestaire) and I found that several pages were missing
> (they were just blanc!)
> Of course Celestaire replaced the volume for free, but Bill could
> run into problems if he discovered this in the middle of Pacific,
> and having no calculator:-)
> This volume with several blanc pages Bill gave to me, to start my
> collection of antique navigation tables:-)
> 4. I challenge Bill for a competition: I claim that with Casio fx
> calculator, one can solve a nautical triangle faster than with
> any tables. (Don't even want to mention that calculator solves
> it more precisely:-)
> It will be even faster with a calculator that has 2 memory cells
> instead of 1 like my Casio, but Casio fx has two other features
> which I don't find in other calculators:
> a) CONVENIENT sexagesimal input/output/conversion (degrees minutes,
> fractions of minutes
> and seconds) and
> b) fits in a T-shirt pocket,
> c) has convenient averages and standard deviation functions.
> 5. On the negative side, Casio does not produce my favorite model
> anymore, and I have only one Casio fx:-(
> If I knew this 16 years ago I'd buy at least 10 of them:-)
>
> Alex.
>
>
> >
>
>
> --
> No virus found in this incoming message.
> Checked by AVG Free Edition.
> Version: 7.1.385 / Virus Database: 268.5.2/329 - Release Date: 5/2/2006
>
>
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To from this group, send email to NavList-@fer3.com
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From: Guy Schwartz
Date: 2006 May 3, 22:53 -0500
I'm glad this topic came up because it was my next question.
I have not had Trig however I can follow instructions.
I too have the Casio fx 260 calculator, which as mentioned below is great
because it has sexagesimal input.
OK so here is the formula I have sin
(Hc)=sin(dec)sin(lat)+cos(dec)cos(lat)cos(dlo)
question 1 is dlo the same as LHA? if not what is dlo?
question 2 is this formula telling me to mutiply sin(dec) by sin(lat) and
then add it to multiplication of cos(dec) by cos(lat) by cos(dlo)
question 3 if my methodlogy of question 2 is correct, then how do I get the
result back to degrees and minutes for the answer Hc?
question 4 what is the difference in accuracy of HO 240 Vs Ho229 Vs
calculator?
Thank you,
Guy
----- Original Message -----
From: "Alexandre E Eremenko" <eremenko@math.purdue.edu>
To: <NavList@fer3.com>
Sent: Tuesday, May 02, 2006 1:23 PM
Subject: [NavList 81] Re: learning sight reduction
>
>
>
> Just few words in defense of calculators:
>
> On Tue, 2 May 2006, Bill Burchell wrote:
>
>> While most seem to graduate to pocket calculators, programmable
>> calculators,
>> or dedicated units to do their sight reductions (as I have) a tabular
>> method
>> is a great starting point and a great backup should all your electronics
>> go
>> south. (The water and electricity relationship has a rough history.)
>
> 1. Have TWO calculators. One in a sealed plastic bag, (sold in
> every supermarket) in the
> bottom of your sac. Two calculators and the plastic bag are still
> cheaper and ocupy substantially
> less space than any volume of reduction
> tables.
> 2. Both your calculators are not more likely "to go South" using
> Bill's expression, than your set of tables:-)
> 3. If you want to depend on the tables, CHECK them before
> you go to a long trip. Once Bill gave me his tables (bought in
> Celestaire) and I found that several pages were missing
> (they were just blanc!)
> Of course Celestaire replaced the volume for free, but Bill could
> run into problems if he discovered this in the middle of Pacific,
> and having no calculator:-)
> This volume with several blanc pages Bill gave to me, to start my
> collection of antique navigation tables:-)
> 4. I challenge Bill for a competition: I claim that with Casio fx
> calculator, one can solve a nautical triangle faster than with
> any tables. (Don't even want to mention that calculator solves
> it more precisely:-)
> It will be even faster with a calculator that has 2 memory cells
> instead of 1 like my Casio, but Casio fx has two other features
> which I don't find in other calculators:
> a) CONVENIENT sexagesimal input/output/conversion (degrees minutes,
> fractions of minutes
> and seconds) and
> b) fits in a T-shirt pocket,
> c) has convenient averages and standard deviation functions.
> 5. On the negative side, Casio does not produce my favorite model
> anymore, and I have only one Casio fx:-(
> If I knew this 16 years ago I'd buy at least 10 of them:-)
>
> Alex.
>
>
> >
>
>
> --
> No virus found in this incoming message.
> Checked by AVG Free Edition.
> Version: 7.1.385 / Virus Database: 268.5.2/329 - Release Date: 5/2/2006
>
>
--~--~---------~--~----~------------~-------~--~----~
To post to this group, send email to NavList@fer3.com
To from this group, send email to NavList-@fer3.com
-~----------~----~----~----~------~----~------~--~---