Doug,

During this epoch, the head of Hydra will always appear between the celestial equator and the Sun's ecliptic.  If it were possible to continue 9,500 to 10,000 years from now, due to precession, the head of Hydra will rise above the ecliptic which is the Sun's apparent path.  The body of Hydra lies below the celestial equator, which is really the earth's equator projected upon the sky.  Typically, the sun is above the head of Hydra during the first few days of August, centered around the 4th.  

One interesting thing regarding the constellation Hydra is the retrograde motion of the planets about its head.  Beginning around the millennium (2000) the visible planets begin to appear to circle over its head; Jupiter, Mars and Mercury for periods; Saturn hovers about the head of Hydra throughout 2006.  During August-September of 2015 Venus circles very closely about its head as if to sever it at the neck and them resumes full forward motion towards the end of September.  In longer frames of time, this motion probably isn't rare, but coupled with other pieces of the puzzle of the end times, seems to be more than coincidental.

In Christ,

Kevin H.