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Lockyer defines the following variants of observation situations:

location of star time of observation relation to sun definition
rising (eastern horizon) morning true / cosmic sun rising too
apparent / heliacal sun will soon be up
evening true / achronic sun setting too
apparent / heliacal sun has just gone down
setting (western horizon) evening true / cosmic sun setting too
apparent / heliacal sun has just gone down
morning true / achronic sun rising too
apparent / heliacal sun will soon be up