Page 75 - Lokmanya Tilak Samagra (khand 2)
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62             SAMAGRA  TILAK.:.~ •  THE  ORION

           ever being the first of the Nakthatras, was completely lost in those
           days  and  native  scholars  believed,  on  what  they  considered  to
            be sound etymological grounds that the month and not the Nak-
           thatra was the commencement of the year. Once started and embo-
           died  in  the  Gtta,  the  theory  gained  an easy and rapid currency
           amongst native scholars, all of whom naturally felt bound to shape
           their  views  accordingly.
               And not only literary scholars, but astronomers appear to have
           done  the  same.  In  old  astronomical  works  the  year  commenced
           with the winter solstice and the first month  of the year meant the
           first month of the Uttari)'&J}.a which commenced with this solstice.
           H then the Mlrpshirthi full-moon  was  said to be  the first  night
           of  the  year;  an  astronomer  would  naturally  understand  such
           stattment to  mean  that  the  winter  solstice  fell  on  the  full-moon
           day  of M&rgashtrtha.  Now if we  suppose  that the  MA.rgashrttht
           full-moon was thus the night of the winter solstice, it would mean
           that the full·moon  on that day happened to be  near the asterism
           of Mrigashiras.  With the sun at the winter solstice,  the moon,  to
           be full, must be near the summer solstice; and therefore the summer
           solstice must have then coincided with the asterism of M rigashiras.
           The vernal equinox is 90 ° behind the summer solstice; and M riga-
           shiras coincided with the latter, the vernal equinox would  then be
           90° behind the asterism of M!igashiras. This is the only logical and
           mathematical conclusion possible if we accept  the theory that the
           full-moon  night  in MA.rgashtrtha was  the first  night of  the  year
           at the winter solstice.  And what does it mean  ? It means a  clear
           mathematidll absurdity to us, though older astronomers, -not realiz-
           ing its full  effect,  invented an explanation to  account for  it.  The
           SAtya  Siddhlnta ( viii.  2. 9 )  giv~ 63 ° as  the  polar longitude of
           Mripshiras,counting froJU  Revati. Now if·the vernal equinox was
           90°  behind  the asterism  of  Mrigaahiras,  it was 90°-63° -27°
           behind the asterism  of Revati  r•  The  Vedic  works,  on  the  other

               •  Thia may imply that the SQrya Siddhlnta waa in  existence at the
           tlme when the libration theory waa  started.  I  think it  waa.  But it hu
           been· auggelled that lhe libration theorr might have been aubaequently
           inserted there in ( aee Whttney'a SQr. Sid., p.  104 ) .. It h  not, however,
           neeeaaary to make aay supposition regarding the uiateoce of  the SQrya
           Siddbtnta  at  this  tim·e ai  almost  all  other  Siddhlntas  give  the  same
           IJI:ora; Tiz., 63° forl4Jigaabiraa. See  Colebrooke'a  Eaaaya,  Vol ii, p.  335
           ( table).
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