If I understand your current question then I believe that you did ask this question previously. It and my response can be found in the "General Topics" forum under the title "Assumed Longitude" posted by you, (Rumata) on 10/06/2023.
https://thenauticalalmanac.com/Forum/sho...hp?tid=257
In short the GHA of the star when calculated from the GHA Aries and the SHA of the star is very unlikely to have a value that is without any minutes and tenths. You must select your assumed position longitude such that when you calculate the LHA from the GHA of the star the LHA comes out to a whole degree value without any minutes and tenths. If you do this in the wrong order you will get different answers.
For tables you must FIRST calculate the GHA of the star and from that derive the proper assumed longitude -- not the other way around.
Cheers
PeterB
https://thenauticalalmanac.com/Forum/sho...hp?tid=257
In short the GHA of the star when calculated from the GHA Aries and the SHA of the star is very unlikely to have a value that is without any minutes and tenths. You must select your assumed position longitude such that when you calculate the LHA from the GHA of the star the LHA comes out to a whole degree value without any minutes and tenths. If you do this in the wrong order you will get different answers.
For tables you must FIRST calculate the GHA of the star and from that derive the proper assumed longitude -- not the other way around.
Cheers
PeterB