NetNews Usenet Archive 1992 #16

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Newsgroups: comp.sources.hp48 Path: sparky!uunet!seq!spell From: K. Sinenmaa <sinenmaa@cc.helsinki.fi> Subject: v06i009: nasir_ks - Nasir Astronomical time application v1.2, Part01/02 Message-ID: <cshp48-v06i009=nasir_ks.211153@seq.uncwil.edu> Followup-To: comp.sys.hp48 Sender: spell@seq.uncwil.edu (Chris Spell) Organization: University of Helsinki Date: Wed, 29 Jul 1992 01:13:16 GMT Approved: spell@seq.uncwil.edu Lines: 709 Checksum: 3424687542 (verify with brik -cv) Submitted-by: K. Sinenmaa <sinenmaa@cc.helsinki.fi> Posting-number: Volume 6, Issue 9 Archive-name: nasir_ks/part01 BEGIN_DOC nasir.doc Hi there again, This is rewritten versio. Please, if you are using an older version of the Nasir then replace it as soon as possible. They are (older) complete useless for any meaningful use. (maybe this is too). If you find any misinterpretation produced by this program please let me know about it. Happy timing, kati sinenmaa@cc.helsinki.fi &&& && &&& &&&& && &&&&& && & && && && && && && && && && && && && && && && && && && && && &&&&&&&&& && && &&&&& && & && && && && && && && && && &&& && && &&&& && && && ***************************************************** v1.2 1992 by K. Sinenmaa INTRODUCTION This program does the time changes both in the Julian Calendar and the Gregorian Calendar dates. The date have to be later than March 1st 4712 BC. or greater than Julian day 98 in the Gregorian calendar, Julian day 60 in the Julian calendar.The Calendars can be selected from the SETUP menus. Also the Sun's data is available contains the ecliptical, equa- torial and horizon coordinates, rising and setting times, Sun's geocentric distance, semi diameter, ephemeris transit time, Obliquity of the Ecliptic, Nutation in Longitude and Nutation in Qbliquity. Furthermore there is a simple calendar but it has almost unlimited time scale to the both calendar form. EXECUTABLE FILES START a simple time application program for the settings ASCAL a simple calendar GSTR yields the Easter Sunday for Gregorian calendar JSTR yields the Easter Sunday for Julian calendar JDAY a fast way to get a Julian day number CADA a fast way to convert JDAY to calendar date EOFT yields the Ephemeris Transit (12-EOFT = Equation of the Time) GWUT yields a mean Side real Time at Greenwich longitude EQSO Equinoxes and Solstices CONV Ecliptical coordinates to Equatorial coordinates Current settings: Note, UT is updated only when TIME or JULIA are changing 48SX __________________________ * Gregorian DST= ON * Calendar and Daylight Saving Time * TZ= 2 LT= 13 * Time Zone and Local Time * JD0 = 2448826.5 * Julian Day at 0 UT * JD = 2448826.91667 * Julian day related to the Universal Time * UT= 10 today * Universal Time * Thu Jul 23.1992 205 * Defined date and its year number * \Gl = 25 \O/ = 60 * Geographical coordinates [ab][cd][ef][gh][ij][kl] This program doesn't contain any fancy things so I suppose one is accustomed to use menu keys and other HP48's features so I leave them to explain. NOTE: UT = hh.mmss yesterday = defined date - 1 UT = hh.mmss today = defined date UT = hh.mmss tomorrow = defined date + 1 SETUP: two pages DATE form is MM DD YYYY, the preceding zeros are not essential TIME must be entered in the 24-hour system LATIT ude is between -90 and +90 degrees, must be as decimals LONG itude range is 0 to 180, westerns are negatives, as decimals ZONE is user's local time zone BACK lets you to go back to the first temporary menu DL.ON Dayligth Saving Time ON not automatic, a user take care of it DLOFF Dayligth Saving Time OFF JUL.C the calendar selection, JULIAN is ON GRE.C the calendar selection, GREGORIAN is ON SETUP <ZONE> Time Zone have to be entered in hours, as negative at western longitudes otherwise positive. Here is a few example; Longitudes around Melbourne +10 +150 Delhi +5 +75 Moscow +3 +30 most West European countries +1 +15 Reykjavik -1 -15 In the North America and the Pasific Ocean; Eastern Standard Time -5 -75 Central -6 -90 Mountain -7 -105 Pasific -8 -120 Alaska -9 -135 Havaii -10 -140 NOTE; Time zone related very closely to the longitude. If you change either one of them you must check also the other. EXECUTABLE programs: START; contains five temporary menu keys SETUP same as above JULIA an alternate time set, completely different than SETUP LT.ST local Time to Sidereal Time ST.LT Sidereal Time to Local Time SUN calculates the Sun's positions JULIA Allows you to put a Julian day number instead of the calendar date and time. This is a little bit confusing way to define a given moment because it related to the Universal Time and the current Time Zone can affect that date so much that it differ from the Julian day which has been typed in. EXAMPLE: TZ (time zone) = -8 and DST= ON ( = 1 ) then by pressing JULIA and type a number 2448942.7 <enter> yields following; LT= 21.48 JD0 = 2448941.5 JD = 2448942.7 UT= 4.48 tomorrow Sun Nov 15.1992 DN (tough JD 2448942.5 is at 0 UT in November 16.1992) You find that UT = JD because the Julian day begins always at 12 UT in the calendar date and therefore at 0 UT is the noon of Julian day and the fraction .7 .5 - = .2 represents the Universal Time. More confusing, if you then use the SETUP-menu and put the date 11 16 1992 to the DATE you will get the next things; LT= 21.48 JD0 = 2448942.5 JD = 2448943.7 UT= 4.48 tomorrow Mon Nov 16.1992 321 Again, JD and UT related together and LT, JD0 and current date should represent the same date if all values have been set correct. You can update the time e.g. put 13 to the TIME-menu and you will get; LT= 13 JD0 = 2448942.5 JD = 2448943.33333 UT= 20 today Mon Nov 16.1992 321 In general, to the West longitudes, if LT >= 24+(-TZ+DST) then UT is situated to the next day. To the East longitudes, If LT < +TZ+DST then the UT is situated the day before. SETUP < JUL.C or GRE.C > requirements for; LT.ST Local Time to Sidereal Time : DATE TIME LONG ZONE DST ST.LT Sidereal Time to Local Time : DATE TIME LONG ZONE DST SUN calculates the Sun's position : DATE TIME LATIT LONG ZONE DST If you are using the JULIA-input then only LATIT, LONG, ZONE and DST are required with it. These MUST set before JULIA. NOTE: Converting Sidereal Time to Local Time then the TIME represent that Sidereal Time we're are talking about and of course DATE, LONG, ZONE and DST belong to it too. OTHER EXECUTABLES file's input and output; ASCAL it requires two number, you can't miss it. This calendar also searchs your calculator's alarms. However, there is a tiny quirk. If it finds the latest alarm then it reports all of them ?? GSTR a year number from stack, you will be see it. JSTR a year number from stack. JDAY three values, MM DD YYYY. results are Julian Day number and Day of a year. Uses the selected calendar. CADA Type Julian day to the stack, result is a string contains calendar date. It check automatically the current calendar form. EOFT Julian day number at 12 UT, ( i.e. no fraction part ) result is Ephemeris Time. Takes Time Zone, Longitude and/or Dayligth Saving Time from current SETUP-variables. Therefore it is more desirable to beg it from the SUN-menu. EQSO put month and year to the stack ( the months March, June September and December only ). Gives to the level 2 a tagged object which is the time of the phenomenon at your local time. The accuracy is about ten minutes. On the level 1 is a string containing that date. GWUT Julian day with decimals; yields two numbers, level 2 is a tagged object; GW 0UT: this is valid only if entered Julian day is at 0 UT, otherwise it represents the mean Side real Time in the Greenwich at decimal of the Julian day number. Both numbers are actually same; the number level 2 is the form HH.MMSS and the other is in decimals. CONV put ecliptical coordinates to stack. To level 2 ecliptical longitude and level 1 latitude. Yields 2 tagged objects. Takes the current Obliquity of the Ecliptic from somewhere. You can update it by running the SUN-menu. NOTE: CONV has not been purposed on reduction use, i.e. to reduce coordinates from one date to another. It does the conversion at the defined moment and before the conversion execution the SUN must be run at the same moment ( to update the Obliquity of the Ecliptic ). APPREVIATIONS of the main program GMST0: mean Sidereal Time at 0 UT at the longitude of Greenwich GMST: mean Sidereal Time at the defined time in Greenwich AST: local Apparent Sidereal Time MST: local Mean Sidereal Time at the defined time and longitude LT: mean sidereal time converted to the Local Time NOTE: For Apparent Sidereal Time you must execute the SUN-menu first to get better accuracy. NOTE: You will get the Equation of Equinox to subract MST from AST (i.e. press [-]-button only). NOTE: if the GMST = 0 then the LT shows the Greenwich Transit of the Mean Equinox (when LT TZ and DST are all zero). SUN's results greek letter # lamda = Ecliptical longitude dd.mmss # beta = Ecliptical latitude dd.mmss # alfa = Right Ascension (R.A.) hh.mmss equatorial # delta = Declination (DECL) dd.mmss coordinates Azi = Azimuth dd.mmss horizon Alt = Altitude dd.mmss coordinates Rise = rising time Set = setting time R = geocentric distance LT = local time SD = Sun's Semi Diameter in arc minutes mm.ss EPH.T = Sun's transit time over the South Meridian # epsilon = Obliquity of the Ecliptic dd.mmss # delta # psi = Nutation in Longitude dd.mmss # delta # epsilon = Nutation in Obliquity dd.mmss EXAMPLE: Find the Sun's position and Equation of Equinox on December 25 1992 at 0 UT ( LONGitude is -75 ). 1. Start the program by pressing START. ( how simple ) 2. Go to the SETUP-menu 3. Press DATE and type 12 25 1992 <enter>. 4. Press TIME and set time to be same as the sum of TZ+DST e.g. TZ= -5 DST= OFF (=0) then type -5 <enter> 5. Press BACK 6. Press SUN and Wait ... ==>> GROB 7. Press ON and Wait ... 8. Press LT.ST 9. Press [-] ==>> Eguation of Equinox To pass steps 2.-5. press JULIA and type 2448981.5 <enter>. This yields exactly the same ecliptical and equatorial coordinates as steps 2.-5. do. An other method to determine time at 0 UT is to put TIME, ZONE, LONG and DST to zero. SUN: FRI DEC 25.1992 0 UT Nasir v1.2 Astronimical Almanac 1992 Ecliptic long. (lambda) 273.270446 273 27 05.20 Ecliptic latit. (beta) 0.0000 +0".05 Apparent R.A (alfa) 18.150259 18 15 02.39 Apparent decl. (delta) -23.234053 -23 23 40.6 Distance R 0.983466 0.9835409 SemiDiameter SD 16.153177 16'15".70 Ephemeris Transit EPH.T 12.001566 12 00 15.40 Obliquity of the Ecliptic 23.262269 23 26'22".69 Nutation in Longitude 0.001730 17".352 Nutation in Obliquity -0.000205 -2".044 Mean Greenwich Sidereal Time 6.150086323 6 15 00.8632 Equation of Equinox .0001058204 +1.0613 sec. Compare these results with each other and I bet you can find the Sun from the sky by this program. This program ignore the dynamical time. All calculation are made in the Universal time i.e. it is your clock time at different time zones. ABOUT COORDINATES In here the ecliptical coordinates' zero point is the Earth's center (Geocentric). Zero direction to the longitude is vernal equinox growing counterclockwise from 0 to 360 degrees. Reference plane to the latitude is Earth's orbit plane, is called the ecliptic. The reference point of the right ascension is the direction of the vernal equinox ( the first point of Aries ). This happens when the Sun is in this direction ( about March 21st, you can check it by EQSO and then put the given time and date to the TIME-menu and run the SUN-menu. The both coordinates, ecliptical longitude and Right Ascension, should be around zero at vernal equinoxes. It takes the current TZ and DST from somewhere so be sure you do not change them comparing the results to each other. ). R.A. gets all values counterclockwise from zero to 360 degrees but usually the degrees are converted to the 24-hour system as this program does. The reference plane of the declination is the Earth's equatorial plane. This number can get values -90 to +90 degress (in the case of the Sun this gets values about -23 to 23 ). This program counts the Azimuth to the clockwise from the South on the northern hemisphere and from the North on the Southern hemis- phere and the values are between 0 and 360 degrees. E.g. if Azi= 90 deg. then the Sun is about in the West (if LATIT is positive). Altitude can have the values from -89.59... to 89.59... degrees where the zero plane is an observer's horizon plane. Distance unit is in the AU (=Astromical Unit = 1.49597870E11 meters ). The accuracy of the R.A. and Declination is few seconds within about two decade from the present -- to the past and future. REFERENCES Quarterly Journal of Royal Astronomical Society, 25(1),54(1984) The Astronomical Almanac 1991 Practical Astronomy with Your Calculator, 3rd edition The Astrophysical Journal Supplement Series, 41:391-411,1979 Nov. 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