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					Select Gregorian date   Select Hebrew date

Day          10         Day                  ‫'כז‬

Month        Sep        Month                ‫אלול‬

Year         1977       Year          5737




       Hebrew Date              Gregorian Date

        #NAME?                    #NAME?
Based on 'Understanding the Jewish Calendar' by Rabbi Nathan Bushwick

Step 1:      Enter Hebrew Date                                 Gregorian Day

Hebrew Date                                                     10-Sep-2018
   Year         Month         day
   5779           1            1

Step 2:      Calculate Molad for Rosh Hashana
             of Chosen Year

Molad at Creation*
   Days         hours      Chalakim
     0           23          204
* Measured from midnight on Sunday. So this is equal to
approx 11pm Sunday night. A Chelek is three and a third seconds.

Number of Machzorim and Years (Regular and Leap) Until Date*
 Machzorim            304             Years            3
*A Machzor is a cycle of 19 years.


Leap Years and Regular Years That Have Occurred In Current Machzor*
 Leap Years             0           Regular Years            2
* Leap Years occur at years 3,6,8,11,14,17,19 of each cycle.
 We are exluding current year.

Molad at Rosh Hashana for Chosen Year*
We add Molad at creation +
   Days        hours       Chalakim
     2           16          595    for each machzor +
     5           21          589    for each leap year +
     4            8          876    for each regular year
    616         4903        182836

Taking 1080 Chalakim in an hour this can be expressed:

   Days         hours      Chalakim
    1             8          316



Step 3:      Calculating Tekufa (Autuminal Exuinox) for chosen year

Tekufa at creation before Molad
   Days         hours      Chalakim
    -12          -20         -204

Tekufa after Molad for Chosen Year*
We add tekufa before Molad at creation +
   Days        hours      Chalakim
     0            1           485      for each machzor +
    -18          -15         -589      for each leap year +
     10           21          204      for each regular year
     8           326         147644

This can be expressed:
    Days        hours       Chalakim
     27           6           764

The Day of the Tekufa is therefore given by adding the above to the Molad:
   Days         hours       Chalakim
    28            14           1080

Which can be expressed:
  Days         hours        Chalakim
    28           15            0
Rabbi Nathan Bushwick

                         Step 4:   Calculating Days between Tekufa and Rosh Hashana

                        Difference between Tekufa and Molad
                        We take after 5pm (17 hours) to be new day so
                        Day of Tekufa            28
                        Day of Molad              1
                                                 27

                        Day of Rosh Hashana
                        This can be calculated from the tables below (all times are in Chalokim)*:

                        Years
                        3,6,8,11,14,17,19                 0     15611       38880       64800      83855      116640
                        2,5,10,13,16                      0       3444      38880       55284     107124      116640
                        7,18                              0       3444      36229       55284     107124      116640
                        1,4,9,12,15                       0       3444      36229       55284     107124      116640
                        Day of RH                         2           2         3            5          5            7
                        Additions leap                    0           2         1            0          2            0
                        Additions Regular                 0           2         1            1          2            0
                        * This table should be read by first converting the molad time into chalakim, selecting the correct column
                        for the year of the machzor and the finding the column for which the time of the molad is between the entry of
                        that column and the one to the right of it. The Day of RH is then given by the entry at the bottom of that column.
                        The last two columns are used in the next section.

                        Time of Molad in Chalokim              34876               Relevant Row                    1
                        Day of RH:                                 2 (i.e. after 1 days)

                        Days RH has been pushed off                 0

                        Days RH prior to Tekufa                     27


                        Step 5:    Calculating Gregorian Day

                        Gregorian Year at RH                     2018

                        The Tekufa is always on October 7th except for years prior to leap years when it os October 8th
                        Date of Tekufa            07-Oct-2018

                        Date of RH                  10-Sep-2018

                        We need to find if year is Moleh, Kessidro or Chosser (2,1,0)
                        We can do this using table in above section choosing appropriate row

                        Leap year? (1=yes)               1
                        So the year is                   2 =Moleh

                        We have to following lengths of months

                                     month                    leap                             Regular
                                                 Moleh      Kessidro     Chosser     Moleh     Kessidro    Chosser
                                        1         30           30          30         30         30          30
             2          30        29        29         30        29   29
             3          30        30        29         30        30   29
             4          29        29        29         29        29   29
             5          30        30        30         30        30   30
             6          30        30        30         29        29   29
             7          29        29        29         30        30   30
             8          30        30        30         29        29   29
             9          29        29        29         30        30   30
             10         30        30        30         29        29   29
             11         29        29        29         30        30   30
             12         30        30        30         29        29   29
             13         29        29        29


Total number of days from Rosh Hashana to the required day is:        0

Gregorian day is        10-Sep-2018
                         145211       168480
                         133044       168480
                         133044       168480
                         149448       168480
                                7          2
                                2          0
                                2          0
akim, selecting the correct column
me of the molad is between the entry of
by the entry at the bottom of that column.




ars when it os October 8th

				
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