Statistics – Computation
Scientific paper
Jun 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010ycat.113310852k&link_type=abstract
VizieR On-line Data Catalog: J/AN/331/852. Originally published in: 2010AN....331..852K
Statistics
Computation
Positional Data
Scientific paper
The solution of the geodesic problem for an oblate ellipsoid is developed in terms of series. Tables are provided to simplify the computation.
Included here are the tables that accompanied Bessel's paper (with corrections). The tables were crafted by Bessel to be minimize the labor of hand calculations. To this end, he adjusted the intervals in the tables, the number of terms included in the series, and the number of significant digits given so that the final results are accurate to about 8 places. For that reason, the most useful form of the tables is as the PDF file which provides the tables in a layout close to the original. Also provided is the LaTeX source file for the PDF file.
Finally, the data has been put into a format so that it can be read easily by computer programs. All the logarithms are in base 10 (common logarithms). The characteristic and the mantissa should be read separately (indicated as x.c and x.m in the file description). Thus the first entry in the table, -4.4, should be parsed as "-4" (the characteristic) and ".4" (the mantissa); the anti-log for this entry is 10(-4+0.4)=2.5e-4. The "Delta" columns give the first difference of the preceding column, i.e., the difference of the preceding column in the next row and the preceding column in the current row. In the printed tables these are expressed as "units in the last place" and the differences are of the rounded representations in the preceding columns (to minimize interpolation errors). In table1.dat these are given scaled to a match the format used for the preceding column, as indicated by the units given for these columns. The unit log(") (in the description within square brackets [arcsec]) means the logarithm of a quantity expressed in arcseconds.
(3 data files).
Deakin Rodney E.
Karney F. F. C.
No associations
LandOfFree
Bessel (1825) calculation for geodesic measurements (Karney+, 2010) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Bessel (1825) calculation for geodesic measurements (Karney+, 2010), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bessel (1825) calculation for geodesic measurements (Karney+, 2010) will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1598859