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14         SAMAGRA  TILAK  --2 •  VEDIC  CHRONOLOGY
          Vedic works  are learnt by heart  by  our  priests.  The  tract  was
          known  to  Sir  William  Jones,  Colebrooke,  Davis,  Bentley,  and
          other Scholars  of the time and its text was  published  so early as
          1834  by  Captain  Jervis  at the end of his' Indian Metrology'. But
          neither  these  scholars  nor  Weber,  who  published  the  text again
          in 1862, was  able to interpret more than a few  verses  therein  and
          in consequence the important  astronomical  statements  embodied
          in these verses  did  not  receive  the  recognition  they  deserved.
          Whitney,  for instance,  considered that the tract was  ' filled  with
          unintelligible  rubbish '  and  ' left  us  quite  in  lurch  as  regards
          the  valuable  information '  about  the  nature  of  adjustments
          resorted to in the Vedic Calender to make the lunar and the solar
           year  correspond  with  each  other.  But  thanks  to  the  labours  of
          recent  workers  in  the  field-especially  of S.  B.  Dikshit,  Barha-
          spatya  ( Lala  Chottelal )  and  Pan~it Sudhakar  Dwivedi, -the
          difficulties  of interpretation have been well nigh completely over-
           come,  and  we  are  now  in  a  position  to  thoroughly grasp the
           scheme of the Vedic Calender set forth in this ancient book.  In fac.
          Dikshit has  already  given an outline  of the scheme in his  above
          mentioned work on the History of Indian Astronomy.  It will  be
          seen therefrom that the Vedanga Jyoti~ha starts with the data that
           in a period of five solar years, that is.,  in 366 x 5 or 1830 civil days
           the sun makes five complete revolutions of the Zodiac and that in
           the  same  time  there  are  62  lunar  ( Synodical )  and  67  lunar
           ( Siderial )  months.  This  makes  the  duration  of the  Synodical
           lunar month equal to 29-i days and that of the Sideriallunar month
           equal to 27  ~ days.  The quinquennial  concurrence  of the  lunar
           and the solar time here assumed  is  only approximately true,  not
           rigidly correct; and  the daily  motions  of the  sun and  the moon,
           on  which  the  calculations  are  based,  are  all  mean  or  average
           motions,  being  regarded  as  constant  and  not  as,  is  actually  the
           case  varying each day. But this has enabled the' Vedanga Jyoti!:!ha'
           to  frame such rough and ready practical rules,  as  could  be easily
           worked out by a Vedic priest, and  having  a  knowledge  of elemen-
           tary arithmetic but unacquainted with astronomy, for determining
           the requisite age ( tithi) of the moon and the place ( Nakeyhatra)
           both of the  moon  and  the  sun on particular  day  in  the  period
          (  Yuga )  of five  years.  We  might even  say that this is  the main
           object of the book and  that it  does  not  pretend  to  be  a  treatise
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