Cara menghitung waktu shalat menurut Kitab tibyanul miyqot dan konversi rumus cosinus

Kajian Ilmu

Menghitung waktu shalat

Kitab tibyanul miyqot dan konversi rumus cosinus

Tanggal = 16 Juni 2016

Kota      = Indramayu

Lintang  = -6o33’

 

 

 

 

 

 

  1. Menghitung Darojatus Syamsi

Tanggal                      = 16 Juni          = Jauza’

Tafawut                      = 09      +         

Darojat S                    = 25                  = Jauza’

  1. Menghitung mail awal (deklinasi)

Tanggal                      = 16 Juni

Tafawut                      = 09                

Darojat S                    = 25                  = Jauza’ Syimali

Mail awal                   = 23   21 ( + )[1]

 

Rumus cosinus :

Bu’du darojat            = 60 + darojatu syams

Mail awal                   = sin dek           = (sin bu’du darojat  x sin mail kully)

                                   = sin dek           = (sin(60+25) x sin23o27’)

                                   = 23o21’19.65”

 

  1. Mencari bu’dul qutur

Tanggal                       = 16 Juni

Lintang Indramayu    = 6      33

Jaibnya                       = 7    08

Mail awal                   = 23   21         

Bu’dul qutur               = 2    43

 

Rumus cosinus :

Bu’dul Quthr                         = Sin Φx . Sin δ . 60

                                                = (sin -6o 33’x sin 23o21o x 60)          

                                                = 2o42’45.66”

 

  1. Mengetahui asal mutlaq

= 90  00

Ardulbalad                  = 6    33     –  

Tamamnya                   = 83  27

Jaib tamamnya            = 59  36

= 90  00

Mail awal                    = 23   21     –   

Tamamnya                   = 66  39

Asal mutlaq                 = 54  44

 

Rumus cosinus :

Asal mutlaq                = cos δ x cos Φx x 60

                                   = cos 23 o 21’ x cos -6 o 33’ x60

                                   = 54 o43’35.35”          

 

  1. Mengetahui nisful fudlah

Asal mutlaq                 = 54  44

Bu’dulqutur                = 2    43

Nisfulfudlah                = 2    51

 

Rumus cosinus :

Nisful fudlah              = sin    = ( tan Φx x tan δ)

                                    = sin    = (tan-6 o 33’ x tan23 o 21’)

                                                = 2 o50’28.33”

 

  1. Mengetahui ghoyatul irtifa’

Tamamnya Ardulbalad                       = 83   27

Mail awal                                            = 23   21          – (syimali)[2]

Ghoyah                                               = 60   6

 

Rumus cosinus :

Ghoyatul irtifa’           = tan ( 1 / ( tan ( abs (Φxδ ))))

                                     = tan (1/ (tan (abs (-6 o33’ – 23 o21’))))

= 60o06’00”

 

MENGHITUNG WAKTU SHALAT

16 JUNI 2016

  1. MAGHRIB

Jam                              = 6

Sa’ah Nisfulfudlah     = 0    11    24   – syimaly

Jumlah                         = 5    48   36

Daqo’ikuttamkin         = 0    03   30    +

Waktu maghrib jam    = 5    52  15

 

Sa’ah nisfulfudlah     = (nisfulfudlah x 0o4’)

 

  1. ‘ISYA

Jaibnya 17o                  = 17    32

Bu’dulqutur                = 2      43         – syimaly

Asal mu’adal               = 14    49

Asal mutlaq                 = 54    44

Waktu isya jam           = 7      05

 

Rumus cosinus :

Sin hasil                      = (asal mu’adal : asal mutlaq)

                                    = (14o49’ : 54o44’)

                                    = 15o42’22.71”

Hasil dhorbi               = hasil x 0o4’

                                    = 15o42’22.71” x 0o4’

                                    = 1o02’49.51”

Waktu’ isya                 = 6 + Hasil dhorbi + ihtiyat (0o2’)

                                    = 6 + 1o02’49.51” + 0o2’

                                    = 7o04’49.51”

 

  1. SUBUH

Jaibnya 19o                  = 19    32

Bu’dulqutur                = 2      43         – syimaly

Asal mu’adal               = 16    49

Asal mutlaq                 = 54    44

Waktu subuh jam        = 4      51

 

Rumus cosinus :

Cos  hasil                    = (asal mu’adal : asal mutlaq)

                                    = (16o49’ : 54o44’)

                                    = 72o06’23.7”

Hasil dhorbi               = hasil x 0o4’

                                    = 15o42’22.71” x 0o4’

                                    = 4o48’25.58”

Waktu’ subuh             = Hasil dhorbi + ihtiyat (0o2’)

                                    = 4o48’25.58” + 0o2’

                                    = 4o50’25.58”

 

  1. IMSAK

Waktu subuh – 0o5’(ihtiyat)

= 4o51’ – 0o5’

Waktu imsak               = 4o46’00”

 

  1. WAKTU DHUHA

Jaibnya 4o30’              = 4     42

Bu’dulqutur                = 2     43          – syimaly

Asal mu’adal               = 1     59

Asal mutlaq                 = 54   44

Waktu dhuha  jam       = 5     52

 

Rumus cosinus :

Cos  hasil                    = (asal mu’adal : asal mutlaq)

= (1o59’ : 54 o44’)

= 87 o55’24.9”

Hasil dhorbi               = hasil x 0 o4’

= 87 o55’24.9”x 0 o4’

= 5 o51’41.61”

Waktu’ dhuha            = Hasil dhorbi + ihtiyat (0 o2’)

= 5 o51’41.61”+ 0 o2’

= 5o53’41.61”

 

  1. DHUHUR

= 12

Daqo’ikuttamkin         = 0    03   30    +

Waktu dhuhur jam      = 12  03   30

 

  1. ASAR

Tamamnya ardulbalad = 83  27

Mail awal                    = 23   21          – syimaly

Ghoyah                       = 60   06

Qomah                        = 7

Dhil mabsut                 = 2                   +

Dhil asar                      = 9

Irtifa’ asar                    = 37   53

Jaibnya                        = 36   51

Bu’dulqutur                = 2     43          – syimaly

Asal mu’adal               = 34   08

Asal mutlaq                 = 54   44

Waktu asar jam           = 3   28

 

Rumus cosinus :

Irtifa’ al-‘Ashr           = tan τ = Qomah al-Aqdam :  Dzil al-‘Ashr

= 7 : 9

           = 37o 52’ 29,94”

Jaib Irtifa’ al-‘Ashr               = sin Irtifa’ al-‘Ashr x 60

                                                = sin 37o 52’ 29,94” x 60

                                                = 36o 5011,17

Asal Mu’addal                        = Jaib Irtifa’ al-‘Ashr – Bu’dul Quthr

                                                = 36o 5011,17 – 2o43’

                                                = 34o07’11.17”

Cos  hasil                                = (asal mu’adal : asal mutlaq)

                                                = 34o07’11.17” : 54o44’

                                                = 51o26’11.32”

Hasil dhorbi                           = hasil x 0 o4’

                                                = 51o26’11.32” x 0 o4’

                                                = 3 o25’44.75”

Waktu’ asar                            = Hasil dhorbi + ihtiyat (0 o2’)

                                                = 3 o25’44.75”+ 0 o2’

                                                      = 3 o27’44.75”

Maghrib Isya Subuh Imsak Dhuha Dhuhur Asar
5:53 7:05 4:51 4:46 5:54 12:04 3:28

 

[1] karena jadyu termasuk buruj Syimali atau buruj yang terletak di Utara Equator, maka nilai mail tersebut adalah positif

[2] Jika mail syimali maka di kurangi dan jika mail januby maka di tambahkan

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