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Thema: Sonnenbahnberechnung mit BASCOM

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  1. #1
    Erfahrener Benutzer Robotik Einstein Avatar von Dirk
    Registriert seit
    30.04.2004
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    Sonnenbahnberechnung mit BASCOM

    Hallo Leute,

    hat schon jemand von euch die Berechnung der Sonnenposition (Eingabe: aktueller Standort und Uhrzeit, Ausgabe: Position) in Bascom (oder in einem anderen BASIC-Dialekt) umgesetzt?

    Wer kann mir da helfen?

    Gruß Dirk

  2. #2
    Super-Moderator Lebende Robotik Legende Avatar von Manf
    Registriert seit
    30.01.2004
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    13.075
    Die Berechnung des Sonnenstands ist auch hier beschrieben, noch ohne BASCOM.
    http://de.wikipedia.org/wiki/Sonnenstand

  3. #3
    Hallo Dirk,
    ich bin auch an der Umsetzung interessiert hauptsächlich Sonnenauf und -untergang. hab schon mal das gefunden...

    http://lexikon.astronomie.info/zeitgleichung/

    gruss
    hifish

  4. #4
    Hallo an Alle
    Irgendwie geht da in Bascom keiner so richtig ran!
    Hab mal ne Excel berechnung in Bascom umgeschrieben und herrausgekommen ist das hier:
    Code:
    '++++++++ Sonnenstandberechnung 2012 ++++++++++
    'Vorlage: Excel-berechnung
    'nachvollziebar auf:  http://www.solartopo.com/sonnenumlaufbahn.htm zum überprüfen der zahlen
    '$sim
    $regfile = "m16def.dat"
    $crystal = 16000000
    $hwstack = 100
    $swstack = 100
    $framesize = 70
    '$prog &HFF , &HFF , &HD9 , &H00
    'Config Com1 = Dummy , Synchrone = 0 , Parity = None , Stopbits = 1 , Databits = 8 , Clockpol = 0
    ' Config Adc = Single , Prescaler = Auto , Reference = Avcc
    Ddra = &B11111111
    Ddrb = &B11111111
    Config Portc.1 = Output
    Config Portd.7 = Output
    Config Lcd = 16 * 4
    Config Lcdpin = Pin , Db4 = Portc.4 , Db5 = Portc.5 , Db6 = Portc.6 , Db7 = Portc.7 , E = Portc.3 , Rs = Portc.2
    Initlcd
    Cursor Off
    Config Dcf77 = Pind.6 , Inverted = 0 , Timer = 1 , Debug = 1 , , Check = 1 , Update = 0 , Gosub = Sectic
    Config Date = Dmy , Separator = .
    Enable Interrupts
    Signal_kontroll_led Alias Portc.1
    Dim Neue_sekunde As Bit
    Dim Synchron As Bit
    Dim Tag_im_jahr As Byte
    Dim Diff_zu_utc As Byte
    'Dim Pi As Single
    'Dim Pi2 As Single
    'Dim Pi3 As Single
    'Dim K_pi As Single
    Dim Tageszahl As Integer
    Dim Diff_utc As Single
    Dim Sekunde As Single
    Dim Minute As Single
    Dim Stunde As Single
    '---------------------------
    Dim S_0 As Single
    Dim S_1 As Single
    Dim S_2 As Single
    Dim S_3 As Single
    Dim S_4 As Single
    Dim S_5 As Single
    Dim S_6 As Single
    Dim S_7 As Single
    Dim S_8 As Single
    '---------------------------
    Dim D_0 As Single
    Dim D_1 As Single
    Dim D_2 As Single
    Dim D_3 As Single
    Dim D_4 As Single
    Dim D_5 As Single
    Dim D_6 As Single
    Dim D_7 As Single
    Dim D_8 As Single
    Dim D_9 As Single
    Dim D_10 As Single
    Dim D_11 As Single
    Dim D_12 As Single
    Dim D_13 As Single
    Dim D_14 As Single
    Dim D_15 As Single
    Dim D_16 As Single
    Dim D_17 As Single
    Dim D_18 As Single
    Dim D_19 As Single
    Dim D_20 As Single
    Dim D_21 As Single
    Dim D_22 As Single
    Dim D_23 As Single
    Dim D_24 As Single
    Dim D_25 As Single
    Dim D_26 As Single
    Dim D_27 As Single
    Dim D_28 As Single
    '--------------------------
    Dim Z_0 As Single
    Dim Z_1 As Single
    Dim Z_2 As Single
    Dim Z_3 As Single
    Dim Z_4 As Single
    Dim Z_5 As Single
    Dim Z_6 As Single
    Dim Z_7 As Single
    Dim Z_8 As Single
    Dim Z_9 As Single
    Dim Z_10 As Single
    Dim Z_11 As Single
    Dim Z_12 As Single
    Dim Z_13 As Single
    Dim Z_14 As Single
    Dim Z_15 As Single
    Dim Z_16 As Single
    '--------------------------
    Dim W_0 As Single
    Dim W_1 As Single
    Dim W_2 As Single
    Dim W_3 As Single
    Dim W_4 As Single
    Dim W_5 As Single
    Dim W_6 As Single
    Dim W_7 As Single
    '--------------------------
    Dim H_0 As Single
    Dim H_1 As Single
    Dim H_2 As Single
    Dim H_3 As Single
    Dim H_4 As Single
    Dim H_5 As Single
    Dim H_6 As Single
    Dim H_7 As Single
    Dim H_8 As Single
    Dim H_9 As Single
    Dim H_10 As Single
    Dim H_11 As Single
    Dim H_12 As Single
    Dim H_13 As Single
    Dim H_14 As Single
    '--------------------------
    Dim R_0 As Single
    Dim R_1 As Single
    Dim R_2 As Single
    Dim R_3 As Single
    Dim R_4 As Single
    '-------------------------
    Dim Ca_0 As Single
    Dim Ca_1 As Single
    Dim Ca_2 As Single
    Dim Ca_3 As Single
    Dim Ca_4 As Single
    Dim Ca_5 As Single
    Dim Ca_6 As Single
    Dim Ca_7 As Single
    Dim Ca_8 As Single
    Dim Ca_9 As Single
    Dim Ca_10 As Single
    Dim Ca_11 As Single
    Dim Ca_12 As Single
    Dim Ca_13 As Single
    Dim Ca_14 As Single
    '--------------------
    Dim Az_0 As Single
    Dim Az_1 As Single
    Dim Az_2 As Single
    Dim Az_3 As Single
    Dim Az_4 As Single
    Dim Az_5 As Single
    Dim Az_6 As Single
    Dim Az_7 As Single
    Dim Az_8 As Single
    Dim Az_9 As Single
    Dim Az_10 As Single
    Dim Az_11 As Single
    Dim Az_12 As Single
    Dim Az_13 As Single
    Dim Az_14 As Single
    Dim Az_15 As Single
    Dim Az_16 As Single
    Dim Az_17 As Single
    Dim Azimut As Single
    Dim A As Single
    Dim A1 As Single
    Dim C As Single
    Dim D As Single
    '--------------------
    '---------------------------Const Deklination---------------------------
    Const De_1 = 0.006918
    Const De_2 = 0.399912
    Const De_3 = 0.070257
    Const De_4 = 0.006758
    Const De_5 = 0.000907
    Const De_6 = 0.002697
    Const De_7 = 0.00148
    Const De_1_2 = -0.392994
    '----------------------------------
    '--------------------------Const Zeitgeichung-----------------
    Const Zg_1 = 229.18
    Const Zg_2 = 0.000075
    Const Zg_3 = 0.001868
    Const Zg_1_2 = 0.001943
    Const Zg_4 = 0.032077
    Const Zg_5 = 0.014615
    Const Zg_6 = 0.040849
    'Const Arcsin = 0.5333333333333333
    Const Pi = 3.14159265358
    Const Pi2 = 6.2831853071
    Const Pi3 = 12.5663706143
    Const K_pi = 0.0174532925
    '----------------------------------
    Const L = 48.11602                                          'München DC  Lat
    Const B = 11.57954                                          'google earth  Long
    '------------------------
    Time$ = "13:18:00"
    Date$ = "17.08.12"
    '--------------------------
    Declare Sub Sonnenaufgang
    Declare Sub Sonnenuntergang
    Declare Sub Anzeige
    '------------------------------------
    Deflcdchar 1 , 28 , 20 , 28 , 32 , 32 , 32 , 32 , 32        '  Grad
    Cls
    Do
    '
    Tageszahl = Dayofyear()
    'Goto Anzeige
    '------------------Jahresteil S-S_6---------------------------------
    '|                                                                 /|
    '|         =(Tageszahl-1+((Stunde+Minute/60)-12)/24)/365        \/  |
    '-------------------------------------------------------------------
    Minute = _min
    Stunde = _hour
    S_0 = Stunde
    Stunde = Stunde - 1
    S_1 = Minute
    S_2 = S_0 + S_1
    S_3 = S_2 / 60
    S_4 = Tageszahl + 1                                         '- 1
    S_5 = S_3 - 12
    S_6 = S_5 / 24
    S_7 = S_6 + S_4
    S_8 = S_7 / 365
    'Print S_0 ; "  " ; S_1 ; "  " ; S_2 ; "  " ; S_3 ; "    " ; S_4 ; "  " ; S_5 ; "  " ; S_6 ; "  " ; S_7 ; "   " ; S_8
    '** S_6 ** 0.092579897
    '--------------------Deklination D-D_28-------------------------------------------------
    '|                                                                                      |
    '| =(0,006918-0,399912*COS(Pi2()*S_6)+0,070257*SIN(2*PI()*S_6)-0,006758*COS(2*S_6*PI()) |
    '|                                                                                     /|
    '| +0,000907*SIN(2*S_6*PI())-0,002697*COS(3*S_6*PI())+0,00148*SIN(3*S_6*PI()))/K_pi \/  |
    '---------------------------------------------------------------------------------------
    D_0 = Pi2 * S_8
    D_1 = Cos(d_0)
    D_2 = De_2 * D_1
    D_3 = De_1 - D_2
    D_4 = Pi2 * S_8
    D_5 = Sin(d_4)
    D_6 = De_3 * D_5
    D_7 = D_3 + D_6
    D_8 = 2 * S_8
    D_9 = D_8 * Pi
    D_10 = Cos(d_9)
    D_11 = D_10 * De_4
    D_12 = D_7 - D_11
    D_13 = 2 * S_8
    D_14 = D_13 * Pi
    D_15 = Sin(d_14)
    D_16 = D_15 * De_5
    D_17 = D_16 + D_12
    D_18 = 3 * S_8
    D_19 = D_18 * Pi
    D_20 = Cos(d_19)
    D_21 = D_20 * De_6
    D_22 = D_17 - D_21
    D_23 = 3 * S_8
    D_24 = D_23 * Pi
    D_25 = Sin(d_24)
    D_26 = D_25 * De_7
    D_27 = D_26 + D_22
    D_28 = D_27 / K_pi
    '-------------------------------------------------------------------------------------------------
    '------------------Zeitgleichung Z-16----------------------------------------------------------
    '                                                                                                                              |
    '  =229,18*(0,000075+0,001868*COS(2*PI()*F26)-0,032077*SIN(2*PI()*F26) /  |
    '  -0,014615*COS(2*2*PI()*F26)-0,040849*SIN(2*2*PI()*F26))                           |
    'Zeitgleichung=-0,171*SIN(0,0337*A1+0,465)-0,1299*SIN(0,01787*A1-0,168)   |
    '-----------------------------------------------------------------------------------------------------
    Z_0 = Pi2 * S_8
    Z_1 = Cos(z_0)
    Z_2 = Z_1 * Zg_3
    Z_3 = Z_2 + Zg_2
    Z_4 = Pi2 * S_8
    Z_5 = Sin(z_4)
    Z_6 = Z_5 * Zg_4
    Z_7 = Z_3 - Z_6
    Z_8 = Pi3 * S_8
    Z_9 = Cos(z_8)
    Z_10 = Z_9 * Zg_5
    Z_11 = Z_7 - Z_10
    Z_12 = Pi3 * S_8
    Z_13 = Sin(z_12)
    Z_14 = Z_13 * Zg_6
    Z_15 = Z_11 - Z_14
    Z_16 = Zg_1 * Z_15
    
    '-------------------------------------------------------------
    '------------------Stundenwinkel W-7-----------------------------
    '                                                               /|
    '   =($B$6*60+$B$7+H25+4*$B$5-60)/4-180                      \/  |
    '----------------------------------------------------------------
    W_0 = Stunde * 60
    W_1 = W_0 + Minute
    W_2 = W_1 + Z_16
    W_3 = 4 * B
    W_4 = W_2 + W_3
    W_5 = W_4 - 60
    W_6 = W_5 / 4
    W_7 = W_6 - 180
    'Print W_0 ; "  " ; W_1 ; "  " ; W_2 ; "  " ; W_3 ; "  " ; W_4 ; "  " ; W_5 ; "  " ; W_6 ; "  " ; W_7
    '----------------------------------------------------------------------------
    '----------------sin(Sonnenhöhe)-----------------------------------------------
    '                                                                             /|
    ' =-(SIN($Q$16*$B$4)*J26-SIN($Q$16*G26))/(COS($Q$16*$B$4)*SIN(ARCCOS(J26)))
    '------------------------------------------------------------------------------
    H_0 = K_pi * L
    H_1 = Sin(h_0)
    H_2 = K_pi * D_28
    H_3 = Sin(h_2)
    H_4 = H_1 * H_2
    H_5 = K_pi * L
    H_6 = Cos(h_5)
    H_7 = K_pi * D_28
    H_8 = Cos(h_7)
    H_9 = K_pi * W_7
    H_10 = Cos(h_9)
    H_11 = H_1 * H_3
    H_12 = H_6 * H_8
    H_13 = H_12 * H_10
    H_14 = H_4 + H_13
    '--------------------------------------------------------------
    '-------------------(SONNENHÖHE)---------------------------------
    '                                                           -3,2                             |
    '     =ARCSIN(J25)/$B$9                               ??????             |
    '--------------------------------------------------------------------------
     R_0 = Asin(h_14)
     'R_1 =Acos (r_0)
     R_2 = R_0 / K_pi
     'R_2 = R_2 + 4.03
     R_4 = R_2
    '-------------------------------------------------------------------------
    '-------------------cos(Azimut)----------------------------------------------
    '                                                                            |
    '  =-(SIN($B$9*$B$4)*J25-SIN($B$9*G25))/(COS($B$9*$B$4)*SIN(ARCCOS(J25)))  ? |
    '                                                                            |
    '----------------------------------------------------------------------------
    Ca_0 = K_pi * L
    Ca_1 = Sin(ca_0)
    Ca_2 = Ca_1 * H_14                                          '***
    Ca_3 = K_pi * D_28
    Ca_4 = Sin(ca_3)
    Ca_5 = Ca_4 - Ca_2                                          '**********
    Ca_6 = Cos(ca_0)                                            '***
    Ca_7 = Acos(h_14)
    Ca_8 = Sin(ca_7)
    Ca_9 = Ca_8 * Ca_6
    Ca_10 = Ca_5 / Ca_9
    ' Print Ca_0 ; "   " ; Ca_1 ; "   " ; Ca_2 ; "   " ; Ca_3 ; "   " ; Ca_4 ; "   " ; Ca_5 ; "   " ; Ca_6 ; "   " ; Ca_7 ; "   " ; Ca_8 ; "   " ; Ca_9 ; "   " ; Ca_10
    '---------------------------------------------------------------------------------------
    '---------------------Azimut---------------------------------------------------------------
    '               Prüfung:                     |  Dann_Wert     |   Sonst_Wert         ????  |
    '  =WENN($B$6+$B$7/60<=12+(15-$B$5)/15-H25/60;ARCCOS(L25)/$B$9;360-ARCCOS(L25)/$B$9)       |
    '                                            |                |                            |
    '------------------------------------------------------------------------------------------
    Az_0 = Stunde
    Az_1 = Minute / 60
    Az_3 = Az_0 + Az_1
    A = Az_3                                                    'prüfung a
    '
    Az_4 = 15 - B
    Az_5 = Az_4 / 15
    Az_6 = Az_5 + 12                                            '***
    Az_7 = Z_16 / 60
    Az_8 = Az_6 - Az_7                                          ' prüfung b
    A1 = Az_8
    '-----------------------------------------------------------------------------------------------
    Az_11 = Acos(ca_10)
    Az_12 = Az_11 / K_pi                                        'ergebnis wahr  (Dann_Wert)
     C = Az_12
     '---------------------------------------------------------------------------------------------
     Az_13 = Acos(ca_10)
     Az_14 = Az_13 / K_pi
     Az_15 = 360 - Az_14                                        'ergebnis falsch (Sonst_Wert)
     D = Az_15
    '---------------------------------------------------------------------------------
    If Neue_sekunde = 1 Then
    Neue_sekunde = 0
    Call Anzeige
    End If
    If A > A1 And Az_15 > 190.0 Then
    Call Sonnenuntergang
    End If
    If A < A1 Then
    Call Sonnenaufgang
    End If
    Signal_kontroll_led = Dcf_status.0
    If Dcf_status.2 = 1 Then
    Portd.6 = 1
    End If
     'Print S_4 ; "    " ; S_8 ; "    " ; D_28 ; "  " ; Z_16 ; "   " ; W_7 ; "     " ; H_14 ; "   " ; R_2 ; "   " ; Ca_10 ; "   " ; Az_12 ; "   " ; Az_15
    Print A ; "    " ; A1 ; "     " ; R_2
    Loop
    End
    Sectic:
    Neue_sekunde = 1
    If _sec = 59 Then Synchron = Dcf_status.2
    '
    If Synchron = 1 Then
    Portd.7 = 1
    Else
    Portd.7 = 0
    End If
    Return
    '
    Sub Anzeige
     Locate 1 , 1
    Lcd ; "48.11" ; Chr(1) ; "  " ; Time$
    Locate 2 , 1
    Lcd "Zenith :" ; Fusing(r_2 , "##.##") ; Chr(1) ; "    "
    Locate 3 , 1
    Lcd "11.57" ; Chr(1) ; "  " ; Date$
    If A < A1 Then
    Locate 4 , 1
    Lcd "Azimut :" ; Fusing(az_12 , "##.##" ) ; Chr(1) ; "    "
    Else
    Locate 4 , 1
    Lcd "Azimut :" ; Fusing(az_15 , "##.##" ) ; Chr(1) ; "    "
    End If
    End Sub
    '
    Sub Sonnenaufgang
    Select Case R_2
    Case -9.9 To -7.3:
    Porta = &B00000000
    Portb = &B00000000
    Case -7.0 To -6.5:
    Porta = &B00000001
    Case -6.4 To -6.0:
    Porta = &B00000011
    Case -5.9 To -5.5:
    Porta = &B00000111
    Case -5.4 To -5.0:
    Porta = &B00001111
    Case -4.9 To -4.3:
    Porta = &B00011111
    Case -4.2 To -3.2:
    Porta = &B00111111
    Case -3.1 To -2.1:
    Porta = &B01111111
    Case -2.0 To 1.5:
    Porta = &B11111111
    Case 1.6 To 2.0:
    Portb = &B00000001
    Case 2.1 To 3.0:
    Portb = &B00000011
    Case 3.1 To 10.0:                                           '1.7 max
    Porta = &B00000000
    Portb = &B00000000
    End Select
    End Sub
    '
    Sub Sonnenuntergang
    Select Case R_2
    Case 9.8 To 10.5:
    Porta = &B11111111
    Portb = &B00000011
    Case 6.5 To 9.4:
    Porta = &B11111111
    Portb = &B00000001
    Case 6.0 To 6.4:
    Porta = &B11111111
    Portb = &B00000000
    Case 5.3 To 5.9 :
    Porta = &B01111111
    Portb = &B00000000
    Case 4.9 To 5.2:
    Porta = &B00111111
    Portb = &B00000000
    Case 3.9 To 4.8:
    Porta = &B00011111
    Portb = &B00000000
    Case -0.8 To 3.8:
    Porta = &B00001111
    Portb = &B00000000
    Case -2.5 To -0.9:
    Porta = &B00000111
    Portb = &B00000000
    Case -5.0 To -2.6:
    Porta = &B00000011
    Portb = &B00000000
    Case -6.6 To -5.1 :
    Porta = &B00000001
    Portb = &B00000000
    Case -10.0 To -6.7:
    Porta = &B00000000
    Portb = &B00000000
    End Select
    End Sub
    Geändert von U-1110 (19.08.2012 um 09:47 Uhr)

  5. #5
    Moderator Robotik Einstein Avatar von Kampi
    Registriert seit
    21.11.2009
    Ort
    Monheim, Nordrhein-Westfalen, Germany
    Alter
    34
    Beiträge
    3.501
    Blog-Einträge
    9
    Hi,

    setzt deinen Code mal bitte zwischen ["code] und ["/code] (die " aber weglassen).
    Sonst wird dein Post vieeeeeeeeeeeeeeeeeeeeel zu lang (wie du vielleicht selber siehst )
    Schaut ruhig mal auf meiner Homepage vorbei :
    http://kampis-elektroecke.de

    Oder folge mir auf Google+:
    Daniel Kampert

    Es gibt 10 Arten von Menschen. Die einen können Binär, die anderen nicht.

    Gruß
    Daniel

  6. #6
    Soooooooo zufrieden!!!!!!!!!!!!!!!!!

  7. #7
    Hallo,
    ich habe nach http://lexikon.astronomie.info/zeitgleichung/ ein BASCOM-Programm geschrieben, das allerdings noch nicht ausführlich getestet ist. Als Zeitgeber soll eine DCF-Uhr dienen.

    'Sonnentest 13.4.12
    'lexikon.astronomie.info/zeitgleichung/
    'für Radebeul: 13°37' Ost, 51°06' Nord

    Code:
    $crystal = 1000000
    $regfile = "m48def.dat"
    
    $hwstack = 32                 ' default use 32 for the hardware stack
    $swstack = 10                 ' default use 10 for the SW stack
    $framesize = 40
    
    Dim Woz_moz As Single , Term1 As Single , Term2 As Single , Term3 As Single
    Dim Deklination As Single , Zeitdiff As Single , Sa As Single , Su As Single
    Dim Samin As Single , Sumin As Single
    Dim Tag As Integer , Diff2 As Integer
    Dim Sahour As Byte , Samin1 As Byte , Suhour As Byte , Sumin1 As Byte
    Dim Sastrmin As String * 3 , Sustrmin As String * 3
    
    Anfang:
     Input "Tagzahl " , Tag
    
     Term1 = 0.0337 * Tag         'Berechnung Differenz Wahre + Mittlere
     Term1 = Term1 + 0.465        'Ortszeit
     Term1 = Sin(term1)
     Term1 = -0.171 * Term1
    
     Term2 = 0.01787 * Tag
     Term2 = Term2 - 0.168
     Term2 = Sin(term2)
     Term2 = 0.1299 * Term2
    
     Woz_moz = Term1 - Term2      'Zeitgleichung /in Stunden
     Diff2 = Woz_moz * 60         'auf Minuten gerechnet
    
     Term1 = Tag - 80.086         'Berechnung Deklination
     Term1 = Term1 * 0.016906
     Term1 = Sin(term1)
     Deklination = Term1 * 0.4095
    
     Term1 = Sin(deklination)     'Berechnung Zeitdifferenz
     Term1 = 0.7771 * Term1       'B=0,89 für Radebeul
     Term1 = -0.0145 - Term1
     Term2 = Cos(deklination)
     Term2 = 0.6294 * Term2
     Zeitdiff = Term1 / Term2
     Zeitdiff = Acos(zeitdiff)
     Zeitdiff = 3.8197 * Zeitdiff
    
     Sa = 12 - Zeitdiff           'Sonnenaufgang
     Sa = Sa - Woz_moz
     Sa = Sa - 0.9067
     Sa = Sa + 1                  'MEZ, bei MESZ +2
     Samin = Frac(sa)
     Sahour = Sa - Samin
     Samin1 = Samin * 60
     Sastrmin = Str(samin1)
     Sastrmin = Format(sastrmin , "00")
    
     Su = 12 + Zeitdiff
     Su = Su - Woz_moz
     Su = Su - 0.9067
     Su = Su + 1
     Sumin = Frac(su)
     Suhour = Su - Sumin
     Sumin1 = Sumin * 60
     Sustrmin = Str(sumin1)
     Sustrmin = Format(sustrmin , "00")
    
    
     Print "WOZ-MOZ: " ; Woz_moz
     Print "min: " ; Diff2
     Print "Deklination: " ; Deklination
     Print "Zeitdifferenz: " ; Zeitdiff
     Print "Sonnenaufgang: " ; Sahour ; ":" ; Sastrmin
     Print "Sonnenuntergang: " ; Suhour ; ":" ; Sustrmin
     Print
     Goto Anfang
    
     End
    Geändert von radbruch (20.08.2012 um 16:54 Uhr) Grund: Code-Tag eingefügt

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