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Re: DIY long-term almanac for calculators
From: Bruce Cutting
Date: 2018 Jan 17, 13:18 -0700
From: Bruce Cutting
Date: 2018 Jan 17, 13:18 -0700
Any chance getting you to share the code I hve a TI-89 - believe they are code compatible (basic) > On 2018-01-15 8:18, Tony Oz wrote: >> I programmed my TI-83 to do the computations as per Chapter 15 of >> Henning Umland's excellent "Short Guide to Celestial Navigation", where >> the author warns on the accuracy:[BEGIN QUOTE] >> The maximum error of GHA and Dec is about ±0.6'. Results have been >> cross-checked with Interactive Computer Ephemeris 0.51 (accurate to >> approx. 0.1'). Between the years 1900 and 2049, the error was smaller >> than ±0.3' in most cases (100 dates chosen at random). EoT was accurate >> to approx. ±2s. In comparison, the maximum error of GHA and Dec >> extracted from the Nautical Almanac is approx. ±0.25' (for the sun) when >> using the interpolation tables. The error of SD is smaller than >> ±0.1'.[END QUOTE] > > I coded his formulas in a program which compares them to the JPL DE431 > ephemeris at 1000 random times in the 21st century. It generally > confirms Umland's accuracy claims. For Sun apparent place, semidiameter, > and equation of time the program calculates an accuracy statistic for > the whole set (square root of the mean squared error) and also remembers > the single worst result. > > Apparent place error is the separation angle between a vector to the Sun > calculated from the Umland formulas and a vector from the JPL ephemeris. > It therefore combines the errors in RA and declination into a single > number. > > .33′ apparent place RMS error > .95′ max > > .006′ semidiameter RMS error > .007′ max > > .90 s equation of time RMS error > 2.95 s max > > : > http://fer3.com/arc/m2.aspx/DIY-longterm-almanac-for-calculators-Hirose-jan-2018-g41198