The problem with the study of tides is that researchers are hesitant to completely reject the idea of the effect of the moon on tides. Focusing on a small increase in the height of the tides in the new moon phase. By asserting that since the height of the tides rises in the new moon phase, the moon is involved in the tides. And do not pay attention to a dozen other mismatches.
The tide table was compiled before and after the static theory of tides by trial and error, based on experience and long-term data. At one time, the solar calendars were also drawn up by trial and error, being sure that the sun revolved around the earth.
And according to the circulation theory of tides, the height of the tides also depends on the orbital velocity of the Earth. Which, in the new moon is maximum and in the full moon is minimal, due to the rotation of the moon around the earth.
A = V1 • V2 / t.
If, you move in a car weighing 800 kg., And around the car rotates a load of 10 kg. Thanks to the load, the car will move unevenly.