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Terminology: another word for "azimuthal"
Spherical coordinates are radial (how far from the
centre), azimuthal (measured over 2*pi or 360° around a reference great circle), and polar (between +90° and -90° along arcs normal to the reference great circle). Examples of azimuthal and polar are longitude and latitude, or right ascension and declination. I am editing a text and would like to replace the word "azimuthal", provided there is an alternative that would be recognized by most readers. The reason is that I want to avoid confusion between the terms "azimuthal", which refers to spherical coordinate systems in general, and "azimuth", which is a specific azimuthal coordinate (measured around the observer's horizon). Is there such an alternative term? |
#2
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Terminology: another word for "azimuthal"
On Sep 12, 12:45*am, Axel Harvey wrote:
Spherical coordinates are radial (how far from the centre), azimuthal (measured over 2*pi or 360° around a reference great circle), and polar (between +90° and -90° along arcs normal to the reference great circle). Examples of azimuthal and polar are longitude and latitude, or right ascension and declination. I am editing a text and would like to replace the word "azimuthal", provided there is an alternative that would be recognized by most readers. The reason is that I want to avoid confusion between the terms "azimuthal", which refers to spherical coordinate systems in general, and "azimuth", which is a specific azimuthal coordinate (measured around *the observer's horizon). Is there such an alternative term? The key is the phrase *by most readers*. I'd have to say that there probably isn't such a term, and it's regrettable because your conundrum is a very common one. Depending on what field you work in or what country you come from, the conventions and names can be different. My suggestion would be perhaps not to worry so much about naming things if it is not necessary. If you can define phi and give a good illustration of it, then simply use the letter phi and not the name (which is probably simpler and more compact anyways). HTH, M |
#3
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Terminology: another word for "azimuthal"
In article ,
Axel Harvey wrote: Spherical coordinates are radial (how far from the centre), azimuthal (measured over 2*pi or 360=B0 around a reference great circle), and polar (between +90=B0 and -90=B0 along arcs normal to the reference great circle). Examples of azimuthal and polar are longitude and latitude, or right ascension and declination. I am editing a text and would like to replace the word "azimuthal", provided there is an alternative that would be recognized by most readers. The reason is that I want to avoid confusion between the terms "azimuthal", which refers to spherical coordinate systems in general, and "azimuth", which is a specific azimuthal coordinate (measured around the observer's horizon). Is there such an alternative term? Is "polar" recognized as an angle by most readers? And should "polar" be accompanied with "azimuthal"? Why not e.g. "equatorial" instead? You could of course replace both terms by e.g. "longitudal" and "latitudal", or something similar. Of course longitude/latitude also refers to one of several cases of specific coordinates, but at least people in general are familiar with these terms: fewer people know what azimuth is than those who know what longitude is. -- ---------------------------------------------------------------- Paul Schlyter, Grev Turegatan 40, SE-114 38 Stockholm, SWEDEN e-mail: pausch at stjarnhimlen dot se WWW: http://stjarnhimlen.se/ |
#4
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Terminology: another word for "azimuthal"
"Axel Harvey" wrote in message ... Spherical coordinates are radial (how far from the centre), azimuthal (measured over 2*pi or 360° around a reference great circle), and polar (between +90° and -90° along arcs normal to the reference great circle). Examples of azimuthal and polar are longitude and latitude, or right ascension and declination. I am editing a text and would like to replace the word "azimuthal", provided there is an alternative that would be recognized by most readers. The reason is that I want to avoid confusion between the terms "azimuthal", which refers to spherical coordinate systems in general, and "azimuth", which is a specific azimuthal coordinate (measured around the observer's horizon). Is there such an alternative term? ======================================= Are you going to replace "polar" as well (to avoid confusion because "pole" is a specific polar coordinate)? A word to the wise: additional terms create more confusion, not less. You are not going to replace any terms, you can only add more. Britain decides to go metric, the USA doesn't. When it's 30 degrees it's a hot day here and a cold day in the USA and the public refuses to give up the pint, which is why I buy milk for my coffee in quantities of 1.136 litres (a quart, which is NOT a quarter of a US gallon) . A Roman mile was 1000 paces, an imperial ton is 2240 lbs, a baker's dozen is 13, but not at my local bakery. Within a radius of 1.6 km of my home the speed limit is 30 miles per hour. The Canadian speed limit is 100 km/hour for miles and miles. The mile will remain because the USA has been laid out on a grid, the roads are in place. Start using French if you want to replace English terms, people simply won't buy your text. |
#5
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Terminology: another word for "azimuthal"
Thanks to all who answered, even if there is no
conclusion. As for "polar" I do, in fact, intend to use "transverse" instead. I won't use "equatorial" or "longitud(in)al" for the same reason that I hesitate to use "azimuthal": these terms all refer to specific coordinate systems while I wish to convey a general notion that includes all the specific ones. Anyway, thanks again. |
#6
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Terminology: another word for "azimuthal"
On Sep 12, 10:49*pm, Axel Harvey wrote:
Thanks to all who answered, even if there is no conclusion. As for "polar" I do, in fact, intend to use "transverse" instead. I won't use "equatorial" or "longitud(in)al" for the same reason that I hesitate to use "azimuthal": these terms all refer to specific coordinate systems while I wish to convey a general notion that includes all the specific ones. Anyway, thanks again. When I used to teach courses in practical astronomy and orbital mechanics, the generic terms I used before getting into the specifics of longitude, latitude, azimuth, and so on we fundamental circle pole of the fundamental circle |
#7
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Terminology: another word for "azimuthal"
On Sep 12, 10:49*pm, Axel Harvey wrote:
Thanks to all who answered, even if there is no conclusion. As for "polar" I do, in fact, intend to use "transverse" instead. I won't use "equatorial" or "longitud(in)al" for the same reason that I hesitate to use "azimuthal": these terms all refer to specific coordinate systems while I wish to convey a general notion that includes all the specific ones. Anyway, thanks again. Sorry for the glitch on my first post-- I apparently hit a key that I wasn't supposed to! So, I'll try again. When I used to teach practical astronomy and orbital mechanics, before getting to the specific coordinates of longitude, latitude, azimuth, and the like, I used generic terms such as the following: fundamental circle secondary circle pole of the fundamental circle Then we invented names for the various angular distances representing the desired coordinates. One student used "fundis" and "secdis" ; another suggested "dafunc" (meaning: distance along fundamental circle) and "dasecc". Other names were tried, but I don't recall that any of them lasted very long, and then just in my class. Maybe this might give you some ideas. Anyway, best wishes in your activities! Grover Hughes |
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