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You can do it all with arithmetic: no algebra or trig. The Navy publications you saw are designed that way.
Starting with the Nautical Almanac: there are different treatments for the stars and for the Sun, Moon and planets. The stars are more or less fixed on the imaginary celestial sphere. They don't move in relation to one another. The Sun, Moon and ...
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GHA = Greenwich Hour Angle, but not Greenwich Celestial Meridian—actually, there’s no such thing. I suppose you meant the Celestial Prime Meridian (or 0° of celestial longitude). GHA is the angle in degrees between the Greenwich meridian and the object being considered—in other words, as seen from Greenwich (UK), it’s the angle between the “south” and the ...
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