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Re: 1901 May, 22 Lunar example by French Navy Captain Arago
From: Paul Hirose
Date: 2010 Feb 23, 20:31 -0800
From: Paul Hirose
Date: 2010 Feb 23, 20:31 -0800
Antoine Couette wrote: > Lunar occultation of the Star currently designated as k CNC (kappa Cancri). > > This star is listed as follows in the following star catalogs : BSC > #3623 / FK5 # 1238 / SAO # 98378 / HD 78136. > > Its 2000.0 Mean elements are as follows : R.A.=09h07m44.819s *** > µRA=-0.0014s/y *** Delta=N10°40'05.44" *** µDelta -0.01 "/y no parallax > quoted. SIMBAD says the HD number is 78316. Parallax is practically zero: only .0067". "Your k CNC position has been derived from the Hipparcos Catalog. From the NGC catalog, I find a position which is almost 1" apart in RA, which would already account for a possible error of 2 seconds of time in my results. This difference in RA between our both results is well above anything I could expect. Would you then indicate the relevant k CNC Hipparcos data (most preferably referred to 2000.0 rather than to 1991.25), or at least be so kind as to tell me where I can find them on the net. BTW, what is k CNC Hipparcos Ref # ?" To get the Hipparcos catalog data, begin at the SIMBAD site: http://simbad.u-strasbg.fr/simbad/sim-fid Enter kap cnc in the Identifier box. (Greek letter codes: http://simbad.u-strasbg.fr/guide/chA.htx Constellation codes: http://vizier.u-strasbg.fr/vizier/VizieR/constellations.htx Most of the codes are obvious, but there are a few exceptions, e.g., pi. not pi for the letter π.) SIMBAD will give you all the designations for kappa Cancri. It also displays coordinates in several systems, including the ICRS at epoch 2000. The proper motions and parallax in milli arc seconds are displayed too. To see the Hipparcos catalog entry, copy the HIP number from the Web page and go here: http://www.rssd.esa.int/index.php?project=HIPPARCOS&page=hipsearch Paste the number into the Hipparcos Identifier box. Note that Hipparcos catalog gives the proper motion in RA in milli arc seconds per Julian year (365.25 days) in great circle units, i.e., the RA proper motions does not tend to increase for stars near the poles. SIMBAD uses the same convention. This is important because many older catalogs simply give the rate of change of RA per year. "Now, since you seem using DE405 full theory which (and unless I am mistaken) does include Libration, I would have thought that you would be using its exact Libration values which accordingly would enable you to compute the exact apparent topocentric difference between both geometrical and gravity centers." Actually, I used DE406, which omits nutations and librations. My program can use the DE405 ephemeris, but I don't know how to apply libration corrections, so the program ignores that data. In all the computations below, I will apply the simple fixed offsets to longitude and latitude. "IMMERSION at UT=22h43m33.4s" My value = 22:43:36.7 UT1, with -1.1 s delta T. "EMERSION at UT=23h59m31.4s" My value = 23:59:36.0 UT1. "In [Meeus] 'Astronomical Tables of the Sun, Moon, and Planets', Copyright 1983, ISBN 0-943396-02-6 and Edition 1983 (?) which I own and which is a GREAT book, we can find on pages 5-8 and 5-9 the following example : "Occultation of Aldebaran, 1997 October 19, at Palomar Mountain Observatory, for which we have : "Lat = N +33°.3562, Lon = + W 116°.8640, Altitude + 1 706 m (above ellipsoid), "delta T = +68s "For IMMERSION, Jean Meeus finds UT = 07h44m41s, and "for EMERSION, he finds UT = 09h02m44s" I get 07:44:40.5 and 09:02:43.0. "I am using delta T = 62.8 s, which I am guessing/feeling is much closer from your own value and FER's On Line Computer value, and I reworked this example for 3 different altitudes :" In my program, delta T is a user input, so I can give it any value. "Alt = 0000 m / 0000 ' UT = 07h44m48.2s UT = 09h02m51.8s" My values: 07:44:48.2 and 09:02:51.3 "Alt = +1760 m / 5597 ' UT = 07h44m47.3s UT = 09h02m51.2s" My values: 07:44:47.3 and 09:02:50.7 "Alt = +4000 m / 13123 ' UT = 07h44m46.2s UT = 09h02m50.3s" My values: 07:44:46.2 and 09:02:49.8. In each case we agree perfectly (less than .1 s and .1") at immersion, and disagree by .2" at emersion. The lunar distance is changing at 23.6"/minute at emersion, so .2" arc = .5 s time. Tomorrow I will compute the coordinates of kappa Cancri in several reference systems (barycentric ICRS, geocentric ICRS, etc.) to help you figure out why our coordinates are different. --