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Hereby is used in connection with what is present with the speaker or what the speaker has just mentioned or the speaker's present words (i.e. the present document); thereby is used in connection with what is at a distance from the speaker or what has been mentioned by the speaker or by someone else.
When software is used that does not contain an ephemeris, or if no software is used, position data for celestial objects may be obtained from the modern Nautical Almanac or Air Almanac. An ephemeris is usually only correct for a particular location on the Earth. In many cases, the differences are too small to matter.