Int. J. Communications, Network and System Sciences, 2011, 4, 483-486 doi:10.4236/ijcns.2011.48059 Published Online August 2011 (http://www.SciRP.org/journal/ijcns) Astronomical Algorithms: Amended Multi-millennia Calendar Boris S. Verkhovsky Computer Science Department, New Jersey Institute of Technology, University Heights, Newark, USA E-mail:
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[email protected] Received May 21, 2011; revised June 16, 2011; accepted June 20, 2011 Abstract Three new worldwide calendars are proposed and compared in this paper. None of them requires any depar- ture from an existing tradition to divide years on lean and leap. Although all three are pretty accurate, it is demonstrated that the Julian calendar with one additional amendment is the simplest and the most suitable for implementation. Keywords: Astronomic Algorithm, Julian Calendar, Gregorian Calendar, Error Accumulation, Amendments, Multi-millennia Calendar, Synchronization 1. Introduction and Gregorian Calendar land by an Act of Parliament. French Republican calen- dar was adopted in 1790s. Although Gregorian calendar Modern computing and communication systems require was adopted in 1923 in the USSR, the Russian Orthodox immensely high degree of synchronization, which in its Church does not recognize it and still celebrates Christ- turn requires measurement of time with great precision. mas thirteen days later. More details about various cal- Nowadays, atomic clock can measure time with accuracy endars are provided in [1-4]. Great mathematician and smaller than one billionth of a second. Without such a astronomer Carl F. Gauss proposed an algorithm that precision numerous navigation systems including the calculates Easter Sundays in the Gregorian calendar [5]. GPS and other equivalents will not be able to properly The Gregorian calendar is proposed by astronomers C.