I may have jumped the gun with my last statement. While the orthographic
projection clearly does not apply, several other azimuthal ones show
promise, in particular the Airy, equidistant, and equal-area.
Brad

On Wed, Jan 26, 2011 at 4:59 PM, Brad Lufkin <bradley.luf...@gmail.com>wrote:

> I tried to send the following message with a 40K diagram attached but it
> bounced, so I'm re-sending it without the diagram. I thought the limit was
> 50K?
> Brad
>
> On Wed, Jan 26, 2011 at 4:54 PM, Brad Lufkin <bradley.luf...@gmail.com>wrote:
>
>> Here's a diagram of an orthographic projection centered at Rio at the time
>> in question. It's clear that this diagram does not match the flag of Brazil.
>> While the north-south arm of Crux is indeed at the longitude of Rio, the arm
>> itself can never be truly north-south, as the two stars have slightly
>> different hour angles. Also, and far more importantly, Crux is too far north
>> on the flag, being nearly at the same latitude as Rio (the center of the
>> map). In fact, the declination of Crux is around -60 degrees, whereas Rio,
>> as we know, is nearly on the Tropic of Capricorn.
>> To find Crux in the diagram, look about two-thirds of the way down. It's
>> the constellation containing Mimosa.
>> I can't think of any projection, other than an artistic one, that would
>> put the stars in these relative positions.
>>  Brad
>>
>>
>> On Wed, Jan 26, 2011 at 2:11 PM, James E. Morrison <
>> janus.astrol...@verizon.net> wrote:
>>
>>>  Frank,
>>>
>>> It would take some effort to make a conclusive argument as to the
>>> projection used on Brazil's flag, but the description on Widipedia says it
>>> is an orthographic projection (the projection origin is at infinity).  The
>>> date and time when Crux (the Southern Cross) was on the meridian are correct
>>> in the Widipedia article. I'll look at in more detail as time permits.
>>>
>>> Best regards,
>>>
>>> Jim
>>>
>>> James E. Morrison
>>> janus.astrol...@verizon.net
>>> Astrolabe web site at http://astrolabes.org
>>>
>>> Jan 26, 2011 05:21:44 AM, frank.k...@cl.cam.ac.uk wrote:
>>>
>>> Dear Roger (with a question for James Morrison),
>>>
>>> You prompt an interesting side-track in your
>>> observation that...
>>>
>>> > The national flag for Brazil also incorporates
>>> > an armillary sphere...
>>>
>>> It seems that you are living just a bit in the past
>>> here. Aren't we all? The flag of Brazil incorporated
>>> an armillary sphere until 1816 when it was largely
>>> covered up and in 1826 it disappeared from the flag
>>> altogether. See:
>>>
>>> http://en.wikipedia.org/wiki/Flag_of_Brazil
>>>
>>> This article describes the current flag in great
>>> detail. It is dominated by a representation of
>>> the night sky over Rio de Janeiro at 08:37 on
>>> the morning of 15 November 1889.
>>>
>>> In an intriguing note, the article explains that
>>> the positions of the stars were altered slightly
>>> in 1992 to account for proper motion since 1889.
>>>
>>> The Brazilians are to be commended for their
>>> insistence on precision but this alteration means
>>> that the flag no longer represents the night sky
>>> in November 1889. As such the current flag is
>>> a bit of an iconoclast.
>>>
>>> I do hope that "Instruction on the Design of the
>>> National Flag" is in the school curriculum in
>>> Brazil. No wonder the country is doing well!
>>>
>>> The only detail that I would like explained is
>>> just what projection is used.
>>>
>>> Can James Morrison comment please?
>>>
>>> Frank King
>>> Cambridge, UK.
>>>
>>> ---------------------------------------------------
>>> https://lists.uni-koeln.de/mailman/listinfo/sundial
>>>
>>>
>>> ---------------------------------------------------
>>> https://lists.uni-koeln.de/mailman/listinfo/sundial
>>>
>>>
>>>
>>
>
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