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24         SAMAGRA  TJLAK- 2  •  THE  ARCTIC  HOME

            This  causes  the  seasons  to occur at diffeient points  in  the  earth's
            orbit during  this  great  cycle.  Thus  if the  winter  in  the  northern
            hemisphere  occurred  when  the  earth was  at P  at one time,  some
            time  after  it will  occur  at  p  and  the  succeeding  points  in  the
            orbit  until  the  end  of the  cycle,  when  it will  again  occur  at P.
            The  same  will  be  the  case in regard  to  summer  at  the  point  A
            and  equinoxes  at  Q  and  Q'. In the diagram the  dotted  lines  qq'
           and pa  represent  the  new  positions  which  the  line  QQ' and PA
            will  assume  if they  revolve  in  the  way  stated  above.  It  must
            also  be noted  that though the  winter in  the  northern  hemisphere
            may  occur  when the  earth  is  at p  instead  of at P,  owing to the
            aforesaid  motion  of its  axis,  yet  the  orbit  of the  earth  and  the
            points of perihelion and aphelion are relatively fixed  and unchang-
            eable.  Therefore,  if the  winter in  the northern  hemisphere  occurs
            at p, the earth's distance from the sun at the point will be greater
            than  when  the  earth  was  at P.  Similarly,  in  the  course  of the
            cycle  above  mentioned,  the  winter  in  the  northern  hemisphere
            will once occur at  A,  and  the  distance  of the  earth from the sun
            will  then  be  the  longest.  Now there  is  a  vast difference between
            a  winter  occurring  when  the  earth is  at P  and  a  winter  occurr-
            ing when  it is  at A.  In  the first  case,  the  point P  being  nearest
            to  the  sun,  the  severity  of  the  winter  will  be  greatly  modified
            by  the  nearness of the sun.  But  at A  the sun  is  farthest  removed
            from  the  earth,  and  the  winter,  when  the  earth  is  at A,  will  be
            naturally very  severe;  and  during  the cycle  the  winter  must once
            occur  at  A.  The  length  of the  cycle  is  25,868  years,  and  ordi-
            narily  speaking  half of this period must  elapse before the occurr-
            ence  of winter is  transferred from  the earth's position  at P  to its
            position  at  A.  But it ·is  found  that  the  points P  and  A  have  a
            small  motion  of their  own  in  the  direction  opposite  to  that  in
            which  the  line  of equinoxes  QQ'  or  the  winter  point  p  moves
            along  the  orbit.  The  above  cycle  of 25,868  years  is,  therefore,
            reduced  to  20,984,  or  in  routid  number  21,000  years.  Thus
            if the  winter  in  one  hemisphere  occurs  when  the  earth  is  at P,
            the point nearest to the sun in the orbit,  it will  occur in the same
            hemisphere  at A  after  a  lapse  of  10;500  years.  It may  be  here
            mentioned  that in  about  1250  A.  D.,  the  winter  in  the  northern
            hemisphere  occurred  when  the  earth in  its  orbit  was  at P,  and
            that in about  11,750 A.  D.  the  earth will  be again at A,  that is,
            at  its  longest  distance  from  the  sun  at  the  winter  time,  giving
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