Geodesic
Christian's and Muslim's Calendars in Our Region: History, Calculation and Conversion
Review of the National Center for Digitization, Tome 19 (2011) no. 1.

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

To improve the digital connection among Islamic and Christianity heritage in the Balkan region, we have developed several procedures for reconstruction oldest calendric rules of both confessions. Also, one part of the paper refers to the islamic prayer schedule calculation. This possibility is produced from an original algorithm for high accuracy Sun and Moon's ephemeris calculation - in the case of calendars it is a calculation of the so called cycles of the Sun and of the Moon. Regarding to civil rules and religious rules of Christianity and Islam we have generated calendars over real time intervals. The conditions for proleptic calculation are done, too. The algorithms for mutual conversion of these calendar systems and their social events are connected via Julian day number. 
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     author = {Biljana Samard\v{z}ija and Stevo \v{S}egan and Du\v{s}an Mar\v{c}eta and Slavi\v{s}a Milisavljevi\'c},
     title = {Christian's and {Muslim's} {Calendars} in {Our} {Region:}  {History,} {Calculation} and {Conversion}},
     journal = {Review of the National Center for Digitization},
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     publisher = {mathdoc},
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     number = {1},
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Biljana Samardžija; Stevo Šegan; Dušan Marčeta; Slaviša Milisavljević. Christian's and Muslim's Calendars in Our Region:  History, Calculation and Conversion. Review of the National Center for Digitization, Tome 19 (2011) no. 1. http://geodesic.mathdoc.fr/item/NCD_2011_19_1_a10/