Kamis, 14 Juli 2011

AWAL RAMADHAN 1432 PASTI TIDAK ADA PERBEDAAN

HISAB AWAL BULAN RAMADHAN 1432 H
SISTEM EPHEMERIS
Markaz : Tanjung Kodok ( -6° 51’ 50.22” LS ; 112° 21’ 27.8” BT; T tempat : 10 m)

Oleh : ARIF ROCHMAN, S.Ag M.Si (Kepala KUA Galis- Bangkalan)


Ijtima’ Akhir bulan Sya’ban 1432 H

-          FIB[1]  terkecil  terjadi pada tanggal 30 Juli  2011 pk. 18.00 GMT = 0.00093
-          ELM[2]  pk.20.00 GMT = 127° 14’ 20”
-          ALB[3]  pk.20.00 GMT = 126° 51’ 31”
-          Sabaq Mthari (SM) perjam;      ELM pk 20.00 GMT      = 127° 14’ 20”
                                                        ELM pk 21.00 GMT             = 127° 16’ 43”
                                                                                           SM       =      0° 2’  23”

-          Sabaq Bulan (SB) perjam;    ALB pk.20.00 GMT          = 126° 51’ 31”
                                                                     ALB pk 21.00 GMT = 127° 26’ 53”
                                                                                             SB     =     0° 35’ 22”

- Saat Ijtima’ [4] = Jam FIB + ((ELM – ALB)/(SB – SM)) + 7 jam
                         = 20 + ((127° 14’ 20”-  126° 51’ 31”)/(  0° 35’ 22” - 0° 2’ 23”)) + 7
                         = 25 jam  41 mnt   30.35dtk  WIB atau  01 jam  41 mnt   30.35dtk  WIB  tanggal 31 Juli 2011

HISAB TERBENAM MATAHARI
- Equation of time (e)[5]  pk 11.00 GMT             =  -0jam 06mnt 24dtk
- Deklinasi (d)[6]  pk 11.00 GMT                          = 18° 17’ 15”
- Semi Diameter (SD)[7] mthri pk 11.00 GMT   = 0° 15’ 45.29”
- Refraksi (Pembelokan cahaya mthri)                     =  0° 34.5’ (lihat table Refraksi)
- Dip (Kerendahan ufuk) à 1.76 Ö10 / 60           = 0° 5’ 33.94”
- KWD (Koreksi Waktu Daerah)                        = (15 x 7 - 112° 21’ 27.8”)/15 = -0° 29’ 25.45”
- Tinggi (h)[8]  matahari ; 0 – SD – Refr – Dip   = -0° 55’ 49.23”

        Sudut Waktu (t)[9] Matahari :        Cos t      = -tan j  tan d + sin h / cos j  / cos d
                                                                                = -tan  -6° 51’ 50.22” tan 18° 17’ 15” + sin  -0° 55’ 49.23” /cos  -6° 51’ 50.22”  / cos 18° 17’ 15”
                                                                                = 0° 01’ 21.21”
                                                                        t       = 88° 42’ 26.62”     
        
      Saat terbenam matahari ( Gh° )                 = t/15+12 – e +  Kwd
                                                                                = 88° 42’ 26.62” / 15 +12 – (-0jam 06mnt 24dtk) + (-0° 29’ 25.45”)
                                                                                = 17jam 31mnt 48.32dtk  WIB ----à 10Jam 31mnt 48.32dtk GMT
AR (Right Ascension)[10]  Matahari dan Bulan saat terbenam
(dengan Interpolasi ---à A -(A-B)C/1        pk. 10Jam 31mnt 48.32dtk GMT  è C = 0Jam 31mnt 48.32dtk GMT)

* AR Matahari pk. 10.00 GMT                                =  130° 17’  24”
  AR Matahari pk. 11.00 GMT                                 =  130° 19’ 50”
  AR Matahari  pk 10Jam 31mnt 48.32dtk GMT130° 18’ 41.3”

*AR Bulan pk. 10.00 GMT                                  =  137° 32’  13”
 AR Bulan pk. 11.00 GMT                                   =  138° 06’  31”
 AR Bulan pk. 10Jam 31mnt 48.32dtk GMT   137° 50’  23.9”

Sudut Waktu (t) Bulan         = AR Matahari – AR Bulan + t Matahari
                                                =  130° 18’  41.3” - 137° 50’  23.9” +  88° 42’ 26.62”     
                                     t          =   81° 10’  44.02”

Deklinasi (d )Bulan  ;  d Bulan pk. 10.00 GMT               =  11° 58’  54”
                                   d Bulan pk. 11.00 GMT                    =  11° 46’  33”
Deklinasi (d ) Bulan pk. 10Jam 31mnt 48.32dtk GMT =  11° 52’ 21.2”

Tinggi / Irtifa’ Hakiki (h) Hilal[11]

                Sin h       =  Sin  j  Sin d  + Cos j  Cos d   Cos t
                                =  Sin -6° 51’ 50.22” Sin 11° 52’ 21.2” + Cos -6° 51’ 50.22” Cos 11° 52’ 21.2” Cos 81° 10’ 44.02”
                                =    0°  7’  27.86”
                      h        =   7° 08’  47.14”

Tinggi / Irtifa’ Marr’I ( h’ ) HILAL  ---à    h’     =  h – Parallaks + SD + Refraksi + Dip

                                                                         h     =  7° 08’ 47.14”
                                                        Parallaks[12]    = 0° 59’  22.53” -  => Horz. Parlk pk 10 & pk 11 diinterpolasi x cos h
                                                                                   6° 09’  24.61”
                                                                SD          =  0° 16’ 10.71”è hasil dari interpolasi
                                                                                    6°  25’ 35.32”
                                                                Refrk      =  0°  07,15’          +
                                                                                    6° 32’  44.32”
                                                                Dip          =  0° 5’   33.94”   +

                                                                h’         =  6° 38’ 18.26”

MUKUTS / Lama Hilal diatas ufuk (LHU°) sejak matahari tenggelam --à h’/15   =>  6° 38’ 18.26” / 15
                                                                                                                                                                    =  0 jam 26 mnt   33.22 dtk
Saat Hilal terbenam ( HG°)              = Gh° + LHU°
                                                                = 17jam 31mnt 48.32dtk  +  0 jam 26 mnt  33.22 dtk
                                                = 17 jam 58 mnt   21.54 dtk

Azimut[13]   Matahari dan Bulan saat terbenam

* Azimut Matahari           = tan -1 (1/(-sin j  / tan t + cos j  tan d / sin t ))
                                            = tan -1 (1/(-sin -6° 51’ 50.22” / tan 88° 42’ 26.62”+ cos -6° 51’ 50.22” tan 18° 17’ 15”/ sin 88°       .                                              42’ 26.62”))
                                                =  71° 41’ 28.47  (dari titik utara ke arah barat) = 18° 19’ 31” BU

* Azimut Bulan                     =  tan -1 (1/(-sin j  / tan t + cos j  tan d / sin t ))
                                                = tan -1 (1/( -sin -6° 51’ 50.22”/ tan 81° 10’ 44.02”+cos -6° 51’ 50.22” tan 11° 52’ 21.2”  / sin 81° .                                             10’ 44.02”))
                                                = 77° 03’  34.92” (dari titik utara ke arah barat)

POSISI HILAL       =  Azimut Matahari – Azimut Bulan
                                = 71° 41’ 28.47” - 77° 03’  34.92”
                                = -5° 22’ 6.45”  (diselatan Matahari)

PENAMPAKAN HILAL :  miring ke selatan

LUAS CAHAYA HILAL (CH)              : FIB pk. 10.00 GMT & FIB pk 11.00 GMT diinterpolasi
                                               = 0.006777-(0.006777-0.007538)x 0° 31’ 48.32”/1
                                                                = 0° 0’  25.85”
KESIMPULAN : Hilal sudah diatas ufuk (positif), sehingga Minggu malam tgl 31 Juli 2011 dan keesokan harinya Senin tgl 01 Agustus 2011 ditetapkan sebagai tanggal 01 Ramadhan 1432 H
                                                                                                Allahu a’lam

                                                                                                                                                        Mohon Koreksi & Saran



                                                                                                                 ARIF ROCHMAN, S.Ag.MSi
                                                                                                                  arifkua@gmail.com
                                                                                                                    031-71778030

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