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In the followingB = 2d 5h 204p =BaHaRaDm = 29d 12h 793p = traditional period of one lunar month S = 235 * m / 19 = 9,467,197.6315789...halaqimHY = Hebrew Year of interest iy = HY MOD 19 MT =molad of TishreiMT = INT((235 * HY - 234) / 19) * m + B1. The most commonly known formulaMT = 13 * (HY - 1) - INT((12 * HY + 5) / 19) * m + B2. Landau's Variant 1MT = INT((235 * HY + 13) / 19) * m + 3d 7h 695p3. Landau's Variant 2This method was devised by4. The Serbian MethodZeljko Filipovicof Serbia in 2004g. It is to be hoped thatZeljko Filipovicwill one day explain the derivation of his formula. MT = INT(HY - C(iy)) * S + B where C(iy) = C( 0) = 1.0510638 C( 1) = 0.9999999 C( 2) = 1.0297872 C( 3) = 1.0595744 C( 4) = 1.0085106 C( 5) = 1.0382978 C( 6) = 1.0680851 C( 7) = 1.0170212 C( 8) = 1.0468085 C( 9) = 0.9957446 C(10) = 1.0255319 C(11) = 1.0553191 C(12) = 1.0042553 C(13) = 1.0340425 C(14) = 1.0638297 C(15) = 1.0127659 C(16) = 1.0425531 C(17) = 1.0723404 C(18) = 1.0212765 Tests in QBASIC 4.5 show this method to correctly calculate the Tishrei moladot up to and including HY = 951,411,350H. The limit is due only to the QBASIC arithmetic precision and not to the method itself.Rather than subtract the C(iy) constants, the method adds the constants defined below. MT = INT(HY + C(iy)) * S + B where C(iy) = C( 0) = 0.00301794 C( 1) = 0.05408177 C( 2) = 0.02429454 C( 3) = -0.00549269 C( 4) = 0.04557114 C( 5) = 0.01578390 C( 6) = -0.01400333 C( 7) = 0.03706050 C( 8) = 0.00727326 C( 9) = 0.05833709 C(10) = 0.02854986 C(11) = -0.00123738 C(12) = 0.04982645 C(13) = 0.02003922 C(14) = -0.00974801 C(15) = 0.04131582 C(16) = 0.01152858 C(17) = -0.01825865 C(18) = 0.03280518 Tests in QBASIC 4.5 show this method to correctly calculate the Tishrei moladot up to and including HY = 951,411,350H. The limit is due only to the QBASIC arithmetic precision and not to the method itself.5. Landau's Variant 1 of the Serbian MethodIn this variant, only HY is multiplied by S, and the base molad is included as part of the constants C(iy). MT = INT(HY * S + C(iy) where C(iy) = C( 0) = 86015.00000005 C( 1) = 569446.36842110 C( 2) = 287444.73684216 C( 3) = 5443.10526321 C( 4) = 488874.47368426 C( 5) = 206872.84210531 C( 6) = -75128.78947363 C( 7) = 408302.57894742 C( 8) = 126300.94736847 C( 9) = 609732.31578952 C(10) = 327730.68421058 C(11) = 45729.05263163 C(12) = 529160.42105268 C(13) = 247158.78947373 C(14) = -34842.84210521 C(15) = 448588.52631584 C(16) = 166586.89473689 C(17) = -115414.73684206 C(18) = 368016.63157900 Tests in QBASIC 4.5 show this method to correctly calculate the Tishrei moladot up to and including HY = 951,411,350H. The limit is due only to the QBASIC arithmetic precision and not to the method itself.6. Landau's Variant 2 of the Serbian Method

Ver 1 Paged 18 Apr 2004 Next Revised 18 Apr 2004