I can provide some hints from the standpoint of anthropology.

The western civilization is probably the only civilization (and culture, at large) that has disposed, to some extent, the importance of the moon on the Earth (plants, animal reproduction, human behavior, etc.). There have been either proviso civilizations or else non-western civilizations that do consider - though not in "western scientific terms" - our natural satellite. Moreover, they were based on moon calendar as well as sun calendar with a much higher accuracy than the one introduced by the Gregorian calendar.

Moreover, ancient civilizations (Mayas, Aymarás, Quechuas, f.i.) have furthermore considered the importance of the universe as a whole on the planetary and human behaviors (the Egyptians is one more example).

The western civilization, grounded on the three monotheist religions has traditionally been blind and deaf because of their anthropocentrism.

I firmly believe that science can overcome such a situation, and anthropology and history are two conspicuous and very helpful sciences that come to help.

I had read that the Moons ( very ancient ) 9 day orbital period from full moon

to full moon is still active in all critters ( including us ). There is a

9 day growth spurt in Teeth. The current period of the Moon is

about 27.3 days.

For the 9 day to be locked into our Teeth Forming DNA, it had to have

occurred when common ancestors were just beginning to evolve to

form teeth.

Since teeth are really important to eating, they must have evolved a

very long time ago.

I have observed correlations to the tide table for the coastal town ~30mls eastward within the noise level of the nuclear decay rate of a radioactive source. The pre-calculated tide heights, ignoring wind conditions, relate to the relative positions of the Sun and Moon. Whether this effect is a function of the minor changes in gravitational field, a systemic artefact of the instrumentation or due to other causes is not yet known. The experiment is on-going to investigate a much greater periodicity in the decay rate producing an annual Solar modulation curve thought to reflect the speed of Earth through the cosmos.

The growth rings on Sea shells peak at the Full Moon, and are at a minimum at the

New Moon, so the Length of the Lunar Month can be calculated by the number of

rings between Peaks.   The problem is that it is recording a combination of

the Spin rate of the Earth about its own axis combined with the orbital

rate of the Moon and the Earth about the E-M barycenter.   A messy

problem.

The Moon’s gravity does not have any influences onto Earth even if this statement is against to ancient civilisation explanation… The Moon has born at same time like Earth (common matter eruption from Sun)… The tide effect has connection with the relation of outer core with inertial centre of Earth-Moon system (I do not used “barycenter”, because it has connection with Newtonian-, gravity concept)… To the matter periodicities the Cosmic periodicities has essential influences if this periodicities are causing major changing in Earth’s geostructure, -geodinamics…

If you use Newtonian Gravity where M1 is multiplied by m2 you will get a wrong

answer.  Each Planet exerts a gravitation force on the other planet that is

proportional to its own mass and inversely proportional to the distances

between the two planets.   The Barycenter is useful to ballance angular

momentums of two co-orbiting planets  that must remain Tri-linear 

across the two planets Barycenter.  In short M1*r1 = m2 * R2 or

it cn be expressed as M1 * v1 = m2 * V2 .     In the case of the Earth and the 

Moon, all the lower case letters are equal to one (1) , while all the Upper 

case letters are equal to a value just higher than 81.3.

in both equations 81.3 x 1 = 1 x 81.3.  The gravitational forces of each

one are ballanced by the centrifugal forces of co-orbital motions.

As planets grow larger, the larger planet accelerates the smaller 

planet to a higher orbit, and simultaneously decellerates itself to a 

lower orbit, both relatirve to the barycenter.  The Moon is thus moved away

from the Earth, and its orbital travel distance ( circumference ) becomes

greater with time.  That is 9 days becomes 27.3 Days over a 

protracted period of geologic and biologic time.

The plants and animals just record the light availability in their 

teeth and skeletons, and shells.

It is up to man to determine the method that caused these changes.

you do not get changes in the length of the day, or the length of the

Lunar month, unless something does " Work " on the system,

because the system is always in mass, and gravitationally induced

force ballance.  If the distances changed, and the  periods changed,

then the masses changed, and the mass ratios changed.   The bigger

planet always grows faster than the smaller planet, even if both growth

rates make snails look like rockets.  The change in the distance from

center to center is less than 44.86 mm per year between the Moon

and the Earth.  The measured amount from surface to surface

is only 38.2 mm ( net ).  Mc Donald Observatory, Fort Davis, Texas, to the 

correner array left by the apollo astronauts on the moons surface.

The measure amount in the distance between the Earth and Mars is also

increasing as time passes.  This would indicate that the Sun is 

gaining more mass from the Universe than it is loosing in the form

of energy sent out radially from the Sun.  So it would be moving all

of its planets to higher orbits.   Now wouldn't that be a fun load of 

simultaneous equations to solve?

If we accept the Moon and Earth like a Solid body we can get the imagination that motion of this celestial bodies are moving around their “inertial centre” like an inertial move without they excreting Newtonian Gravitational to each other… In time of writing of my book: The Idea (1994, Hungarian tittle: Az ESZME) I had made an calculation of gravity with formula using the gravity effect from the 2900 km ( from Discontinuity of Gutenberg Wiechert contact between outer core and mantle of Earth… and with using of density of Earth and Moon I had got for the Inner core an density of 75 cm3/g (is a contradiction such a dens body insight of Earth is able to broke up the Earth mantle)… and same time I had got the conclusion that if the gravity onto surface of Moon is 1.6249 m/s2… it cannot have tidel influence of Earth… (Without having the explanation to the gravity … I have discovered the “planet erosion” process (2006, article published about it 2007: http://planeterosion.blogspot.hu/ )… and in the 2008 ( I have got an explanation to the gravity source which permit plant erosion, published in 2009)…

Actually the new discovering of exoplanet are concordant to the theory presented in this two works… Example I have over thought this two works, to a clear and new (radical) explanation of our solar system formation and evolution…

I do not have any information to the next statements: but in time of decreasing jet flux of energy of Sun: the sun shrinking (will increase it gravity force) and after every eruption of Sun will have an increased form (with decreased gravity force …

I have this question ... you scientists believe in the influence of the moon and the cosmos in life on earth? why? and think about all ancient cultures based their activities on the moon and other celestial bodies? for example here in the Andes as the Tiwanaku culture, they used 13 months of 28 days representing one year, based on the moon ...

Maybe these papers could help us to undertand the topic, I think the answer is going from this side.

Have a look at:

https://publikationen.uni-tuebingen.de/xmlui/handle/10900/49255