The majority of the donations to this article ignore the astral altitude of the rising star in relation to altitude of the sun. If the star first appears at -30 min below horizon as light bends, then the sun must be a given distance of altitude below horizon because of its aura of 6 degree civil twilight, 12 degree nautical twilight, and 18 degree astral twilight. This means not only latitude of observation changes it, but so too the precession of the star from earth's axis will change its rising altitude. This is why although the star has been at Julian July 20 at 30 degrees for 2000 years, prior to that it was July 19 in 776 BC and July 18 in 1314 BC and July 17 in 1824 BC. Decades go by and these arrogant haught contributors of knowledge keep ignoring this fact published by Nobel in 1966.