On 2020-11-07 01:18, Paul Eggert wrote:
On 11/6/20 1:59 PM, Michael H Deckers wrote:
-Zone America/Belize -5:52:48 - LMT 1912 Apr +Zone America/Belize -5:52:48 - LMT 1912 Apr 1
but the source is quite clear that it should be +Zone America/Belize -5:52:43 - LMT 1912 Apr 1
Unfortunately it's not so clear. Here's a citation to the source:
# Definition of Time Ordinance, 1927 (No.4 of 1927) [1927-04-01] # Ordinances of British Honduras Passed in the Year 1927, p 19-20 # https://books.google.com/books?id=LqEpAQAAMAAJ&pg=RA3-PA19
It says that standard time was established as -06 on 1912-04-01, and that -06 was 00:07:17.27 later than the local mean time at Belize. However, by my calculations -05:52:42.73 is longitude 88° 10′ 40.95″ W, which Google Maps says is in the ocean east of Belize city, so this was not LMT in Belize city.
To my mind what matters here is what was the legal time in Belize city before 1912-04-01. If there was no law or it was just LMT, no change needs to be made. If it was -05:52:42.73 then we need to find out when that legal time was instituted (perhaps for all of British Honduras?), and insert a transition from LMT to -05:52:42.73 at the appropriate date.
One constraint we like to follow is that the LMT longitude corresponds to the longitude in zone1970.tab.
You can't really make accurate judgments about anything based on Google Maps (notice they do not show any geographical grid or claim any geographical accuracy), except maybe within the Continental US, possibly because they use a WGS84 spherical Mercator projection, rather than the ellipsoid, which results in errors (except where that projection matches the ellipsoid), apparently higher at higher elevations, and they seem to use the NAD83 North American Datum in North America, but the datum used must vary elsewhere, and lacks documentation in some areas. Compare published geographic coordinates of current geodetic control points with where those coordinates appear on Google Maps and you will see the local errors and their magnitudes. I have friends who get numerous drive-bys of their acreage apparently due to "Google Maps" leading those who blindly follow such to believe their county road crosses a "near grade" railway line, despite online maps showing the nearest such roads 2-3 sections away, and the actual railway line elevation in the area varying from the terrain by a couple of metres either way. https://support.esri.com/en/technical-article/000009982 "Google Maps ... use a spherical-only Mercator projection based on the World Geodetic System (WGS) 1984 geographic coordinate system (datum). This Mercator projection supports spheres only, unlike [other] Mercator implementation, which supports ... ellipsoids. To emulate the sphere-only Mercator, it is necessary to use a sphere-based geographic coordinate system (GCS) to use the correct Mercator equations. This sphere-based geographic coordinate system is called 'WGS 1984 Major Auxiliary Sphere'." Historically and currently, other, possibly more local datums, were and are used for geographic coordinates, nowadays often based on WGS84 spheroid models, corrected by continuous GNSS observation cross-references, VLBI observations, and gravimetry at active control points, to some ITRF, and usually more accurate locally. Original (astronomically referenced) survey accuracies are often of the order of a metre, compared using modern methods, and modern corrections made, even at remote locations, tend to be on the order of only metres in 3D, mainly due to changes in reference frames, spheroid models, and datums (causing the largest variations). http://caribjes.com/CJESpdf/CJES%2037-1%20-%20Miller.pdf " Table 1. Parameters of Some Spheroids Spheroid Name Semi-major Semi-minor Flattening, f Eccentricity Axis, a (m) Axis, b (m) squared, e2 Clarke 1858 6378293.645 6356617.938 1/294.26 0.006785 Clarke 1866 6378206.400 6356583.800 1/294.9787 0.006769 Clarke 1880 6378249.145 6356514.870 1/293.465 0.006804 Clarke 1880 6378249.145 6356514.966 1/293.4663 0.006803 modified South American 6378160.000 6356774.719 1/298.25 0.006695 1969 International 6378388.000 6356911.946 1/297 0.006723 1924 ... Table 2. Projections Adopted Country Datum Spheroid Projection ... Belize NAD 1927 Clarke 1866 TM & UTM British Honduras 1922 Clarke 1858 TM Colony Coordinates ... Honduras NAD 1927 Clarke 1866 TM (with UTM grid) NAD 1927 Clarke 1866 Honduras Lambert N&S Fort Charles Flagstaff Clarke 1866 Jamaica Lambert Metre ..." http://www.asprs.org/a/resources/grids/03-2009-belize.pdf "The original datum established for Belize is the Sibun Gorge Datum of 1922 where the astronomical coordinates of the origin are: Φo = 17º03’40.471”S, Λo = –88º37’54.687”W, and the ellipsoid of reference is the Clarke 1858 where: a = 6,378,293.645 m, 1/f = 294.26. The Colony Coordinates used the datum origin for the Transverse Mercator projection with a scale factor at origin of unity, a False Northing = 445,474.83ft, a False Easting of 217,259.26ft, and the unit of measure is where 1 meter = 3.28086933 Jamaican feet. Another datum known to exist is called the Jesuit College Flagstaff, probably being the origin for a local hydrographic survey. With aerial photography flown in 1969 and 1972, a series of 1:50,000 scale topographic maps were produced by the British Directorate of Overseas Surveys (DOS). The coordinate reference system currently used in Belize is the North American Datum of 1927, presumably introduced in the 1950s by the U.S. Army Map Service’s Inter-American Geodetic Survey. ... The available 1:50,000 scale maps of Belize on the NAD27 are over-printed with the UTM Grid. According to TR 8350.2, the three-parameter datum shift for Central America including Belize From NAD27 To WGS84 is: ΔX = 0m±8m, ΔY = +125m±3m, ΔZ = +194m±5m, and is based on a 19-point solution in 1987." So with some GIS software and experimentation, current accurate values could be recalculated, but historically and navigationally, time and latitude were important, and as accurate as the technology of the day could make it. -- Take care. Thanks, Brian Inglis, Calgary, Alberta, Canada This email may be disturbing to some readers as it contains too much technical detail. Reader discretion is advised. [Data in binary units and prefixes, physical quantities in SI.]