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Coordinates from IMCCE and JPL HORIZONS
From: Paul Hirose
Date: 2016 Mar 14, 15:17 -0700
From: Paul Hirose
Date: 2016 Mar 14, 15:17 -0700
In the discussion on Henning Umland's almanac, Dave Walden posted geocentric apparent coordinates (true equator and equinox) for Mercury at Feb 1 1100 UT from several sources: 19h14m15.421s -20°38′03.89″ USNO 19 14 15.4172 -20 38 03.896 HORIZONS 19 14 15.42394 -20 38 03.8918 IMCCE The discrepancies are insignificant for navigation. Mainly they're due to different precession and nutation models. However, if you need high accuracy it's possible to adjust the coordinates to a common basis. HORIZONS: first apply the IAU 1980 nutation model in reverse (i.e., convert from true to mean equator and equinox of date). Include the celestial pole offsets published by the IERS, by adding them to the nutation angles from the 1980 model. Then apply the IAU 1976 precession model in reverse to obtain the apparent place of the body in the GCRS. From the GCRS, apply your precession and nutation model of choice. IMCCE: follow the same procedure, except DO NOT apply the celestial pole offset corrections. In other words, simply apply IAU 1976/80 precession and nutation in reverse. I have no procedure for USNO coordinates, since I have not coded their precession - nutation model. (It has been published, however.) Here are Dave's coordinates after conversion to the GCRS. For comparison I include my own coordinates. 19h13m18.3980s -20°39'54.627 HORIZONS 19h13m18.3980s -20°39'54.625 IMCCE 19h13m18.3979s -20°39'54.626 me The IAU SOFA library and my SofaJpl DLL for Windows have all the necessary tools for the transformations. But note that SofaJpl's implementation of the 1976 precession model includes frame bias. You must remove it from the precession matrix. Fortunately that's easy.