In the article "Time Equivalence of the Tropical Year and the Sidereal Year" it was indicated that theoretically one could establish a 360-degree equation based on a year of about 365.256361 mean solar days (so-called sidereal year). Similarly, this mathematical fact would be true for the sidereal lunar month:

365.25636042 ÷ 29.53058867 = 12.36874633

365.25636042 ÷ 27.32166137 = 13.36874633

However, it was also said that in reality such larger 360° orbits CANNOT occur simultaneously in smaller 360° orbit periods.

The following excerpt from an email correspondence from a mathematician, who does not seem to understand this fact and is confused by the term "360-degree", might be of value to the reader:

" ...[ ] ... there can be different 360-degree rotations or revolutions for the same body, depending on the point of view or frame of reference. For example, the earth has a 360 degree rotation to the fixed stars (sidereal day) and a 360 degree rotation relative to the sun (solar day). Depending on the frame of reference the "degree" is slightly different but equally valid in each case. It just depends on the definition or point of view. Similarly for the moon. There is the synodic month, sidereal month, tropical month and others. According to the starting definition or frame of reference, they can all be thought of as one rotation, and one rotation is by definition, 360 degrees. So...., when you speak of "the true 360-degree orbit period of the moon is therefore the tropical month" I don't get it. What do you mean by "true" ? Are the others false? It seems to me any complete rotation or revolution is 360 degrees, in that particular frame of reference. Thanks for adding the extra significant digits in the calculations. Is there a conclusion with the calculations? They both come out as expected - one rotation difference. ... [ ]."

A 360-degree circle does not have two different circumferences in one, and the true scientific explanation for the phenomenon of precession does not depend on a point of view.

In order to make it clear that the phenomenon of solar eclipses proves the non-existence of lunisolar precession, we will take a closer look at the Saros cycle. This cycle of about 18 years and 11 days implies that a certain number of complete draconic months (return to the same node) and a certain number of complete synodic months (return to the same phase) must occur. This is (almost) the case with 242 draconic months (242 × 27.212221 ÷ 365.24219878 = 18 years 10.998 days) and 223 synodic months (223 × 29.53058867 ÷ 365.24219878 = 18 years 10.962 days).

These months (draconic and synodic) determine the precise cycle of solar eclipses. Their opposite periods around the earth are in phase with the tropical 360° orbit period of the earth around the sun, as the relationship between synodic and tropical lunar month shows and also the following equation of the draconic cycle (from node to node in 18.6134 tropical years):

For the draconic lunar cycle: 365.24219878 ÷ 27.212221 = 13.42199149

For the tropical lunar cycle: 365.24219878 ÷ 27.32158214 = 13.36826677

The reciprocal of the difference of 0.05372472 is 18.613406

If we were to replace the 360° orbit period of the tropical year with the supposedly "longer" 360° orbit of the earth around the sun of 365.25636042 mean solar days, the draconic period (from node to node) gets SHORTER instead of longer:

365.25636042 ÷ 27.212221 = 13.42251191

365.25636042 ÷ 27.32158214 = 13.36878511

365.25636042 ÷ 27.32166137 = 13.36874633

Based on the tropical cycle, the reciprocal of the difference of 0.0537268 is 18.6127 years

Based on the so-called sidereal cycle, the reciprocal of the difference of 0.05376558 is 18.5993 years

Given that the Saros cycle is not derived from a roughly 6.8 second longer 360° orbital period of the moon around the earth, the rotation axis of the earth does NOT precess between sun and moon, as falsely asserted by the theory of lunisolar precession.

see also Re: Luni-Solar Relations by John N. Harris

http://www.binaryresearchinstitute.org/evidence/lunarcycle.shtml