On 24/08/2013 00:35, Bill Gill wrote:
> On 8/23/2013 6:11 PM, oriel36 wrote:
>
>>
>> Longitude cannot be anything other than geometric and it is specific
>> to the Earth's rotational characteristics.The longitude of the Sun has
>> no meaning as the Earth's Lat/Long system is based on the average time
>> it takes the Sun to return to noon within as 1461 day system formatted
>> in a 365/365/365/366 day framework.If you are an astronomer you will
>> know immediately that there is always going to be a mismatch between
>> the rotation of the planet and the Sun's position with each cycle by
>> virtue that once you include the time/date system you are
>> automatically reducing the observations to an assertion of constant
>> rotation and bypassing the natural variations in orbital motion which
>> produces the inequality.
>>
>> They came across this issue a long time ago -
>>
>>
http://books.google.ie/books?id=MfU3AAAAMAAJ&pg=PA27&dq#v=onepage&q&f=false
>>
>>
>> Your post reminds me of these guys who are nitpicking over tiny
>> fractions of a second by assuming that stellar circumpolar motion
>> equates directly with terrestrial longitudes and rotation while being
>> a full rotation out each orbital cycle.
>>
>> There are about a dozen different inputs you are ignoring
>> notwithstanding that even guys like Huygens got it wrong in converting
>> the Sun's motion into terrestrial longitudes via the EoT -
>>
>> " Here take notice, that the Sun or the Earth passes through the 12
>> constellations, or makes an entire revolution in the Ecliptic in 365
>> days, 5 hours 49 min. or there about, and that those days, reckon'd
>> from noon to noon,
>> are of different lenghts; as is known to all that are vers'd in
>> Astronomy.Now between the longest and the shortest of those days, a
>> day may be taken of such a length, as 365 such days, 5. hours &c. (the
>> same numbers as before) make up, or are equal to that revolution: And
>> this is call'd the Equal or Mean day, according to which the Watches
>> are to be set; and therefore the Hour or Minute shew'd by the Watches,
>> though they be perfectly just and equal, must needs differ almost
>> continually from those that are showed by the Sun, or are reckon'd
>> according to its Motion." Huygens
>>
>> I would give you a hint but from experience I haven't come across
>> anyone with the type of talent to spot the weakness in Huygen's
>> argument although it is quite good.
>>
>> Remember now,ephemerides are a convenience where you project the
>> calendar system into space as a rotating celestial sphere whereas
>> longitudes refer only to the rotational characteristics of the
>> Earth,one helluva difference.
>>
>>
>>
> Thanks for taking the time to respond, but you may be slightly
> misunderstanding what I am trying to do. I am using the algorithms
> in Jean Meeus' book "Astronomical Algorithms" to try to determine
> various things that I need to know in order to develop conversion
> routines between the Gregorian calendar and various calendars based
> on different ideas. One of the major differences between the Gregorian
> calendar and others is that the Gregorian Calendar (GC) is based on a
> Solar year, with various corrections to make it match the actual year.
> Most of the other calendars are at least partially based on the Lunar
> year and therefore I need to be able to calculate the phases of the
> moon, the times of the Solstices and Equinoxes, and, for the Chinese
> Calendar, the 24 Solar Terms, which are evenly space at 15 degree
> intervals of the geocentric Solar Longitude. That is the angle
> between the reference meridian (Greenwich, England for UT) and the
> position of the Sun at that time. I have learned that much in my
> wanderings through Meeus. In his book Meeus provides a great many
> algorithms to calculate many different types of astronomical
> phenomena. This is the calculation I am attempting.
>
> And to go on beyond that, in my program I am coming up with some
> items that don't seem to work the way Meeus describes them. This
> is one of those cases. I now have that problem worked out, but I
> still have some other problems.
>
> The next problem was that the short form algorithm I was trying
> when I developed the problem I originally posted about didn't give
> good enough results. The Chinese calendar is based, to a large
> extent on the 24 Solar Terms I mentioned above. If the program
> is working on a term that is very close to midnight a few minutes
> error in either direction may cause a months error in the date.
> So I needed something better. That pushed me to use the long
> form in Chapter 32 of the book. This involved a large number
> of terms which I have incorporated and very carefully proofed.
> Now I find that there is still an error of several minutes
> in the output of my program. And when I tried checking for
> a date in 1980 there was an error of several hours. I don't much
> think Meeus got it wrong in his book, so there must be an error
> in my code, but I can't find anything wrong. Maybe somebody here
> will be able to at least suggest somewhere to start looking.
>
> Thanks for the help.
Assuming here that you are only concerned with computing the right
answers as opposed to making your own a home brew version for fun then
you might find that the VSOP87 code does what you want:
http://en.wikipedia.org/wiki/Secular_variations_of_the_planetary_orbits#VSOP87
ISTR that the last known error (a fault in the handling of continuation
cards in FORTRAN source) was eliminated shortly after the discovery of
the binary pulsar ~1984 which provided a precise enough reference to
find a tiny periodic term applied incorrectly to Jupiter's position.
Meeus's books use truncated versions of these series.
--
Regards,
Martin Brown