A36.- Moon Increasing Distance
The orbiting Moon around Earth and both orbiting the Sun means that the Moon is a three-body problem. 
The Spacecraft Pioneer 10/11, Galileo and Ulysses suffer an Extra Gravitational Tug equivalent to 8.5 10-8 cm/s2.
It is known that the three-body problem has not mathematical solution. The Spacecraft is also, approximately, similar to a three-body problem considering Sun, Earth and the Spacecraft motion. It is “falling”  in the Sun-Earth direction at 8.5 10-8 cm/s2.
We will show that using the same hypothesis the Moon increasing distance  from Earth is explained. (See footnote 5).
Considering the Sun-Earth system the Moon is the third body falling in the Sun direction. Of course, the Moon cannot fall momentarily in the Sun direction because Earth retain it within its gravitational field under a constant increasing distance that represent the falling Moon to the Sun direction.
To make the calculation we will use the same values used in the article on A34.- Extra Gravitational Tug that get the values from Table 1 in the paper on E4.- Universal Gravitation .
Sunâs mass increment in two centuries gives 6.6 10-8 cm/s2 in equation (13), in A34. A simple proportion will give the value to get 8.5 10-8 cm/s2
X1 = (8.5 10-8 * 2) / 6.6 10-8 = 2.5757 cent. (1)
Another simple proportion will give the acceleration using the solar mass increment per second
a = (2.0475 1016 * 8.5 10-8) / (2.5757 * 6.4617 1025)
= 1.045 684 7 10-17 cm/s2 (2)
2.0475 1016 is value Is and 6.4617 1025 is value Ic in Table 1 above mentioned.
To find the distance traveled by Moon we will use the equation
d = 1/2 a t2(3)
Taking 3.1558 109 seconds in a century in 2.5757 century there is 8.128394 06 109 seconds. Replacing this value and a from equation (2), in equation (3):
d1 = 345.446 cm (4)
The value measured by NASA cover 30 years, that is, we need to calculate the distance 30 years before.
257.57 – 30 = 227.57 year (5)
Repeating the calculation, there are 7.1815406 109seconds in 227.57 years. With this value the distance is
d2 = 269.66 cm (6)
The difference between (4) and (6) gives:
d30 = 75.78 cm (7)
The Moon increased this distance from Earth in 30 years. The difference to 1143 equal to 38 cm is due to tides explained and calculated by Newtonâs tidal force . But the tides will decrease with distance and the “falling” and increasing “pulling,” even though very slowly, will increases with time.
We donât know if Mercury and Venus had satellites in the pass but if they had they lost them due to the Sun extra gravitational force. The same will happen with the Moon in a very far away future.
The same mechanism or machinery ö Pico-Graviton absorption by matter ö that explains the Planets Perihelion Advance, the Binary Star Precession, the Spacecraft Extra Gravitational Tug, the Allais anomaly and the Planets Satellites Increasing Distance is the same force that propel the Stellar JETs  at superluminic velocity – Pico-Graviton production.
3.- NASA press release: “Apollo 11 experiment continues to return data.” E-Mail from JPLNews@pl.nasa.gov, Mon, 19 Jul 1999, 14:52:12-0700(PDT).
5.- The AD explanation is different. The Sun-Moon increasing mass slowdown the Moon orbital velocity increasing even more the distance regarding centripetal force equal to centrifugal force. Due to its complexity, a detailed research is underway looking the two different interactions trying to determine if both of them apply or only the last one, given the increasing distance value. AD has the mechanism or machinery that explain the phenomenon, at least, qualitatively.
The tidal force is polemic due to the lack of apparent mechanism. Contrarily, it is known that: “Evidence continues to mount that the Moon formed when a Mars-size body plowed into Earth and blew debris into space ö matter that accreted to form our lone satellite.” The Planetary Report Vol. XIX # 4, page 20-21.
6.- R. C. Vermuelen and M. H. Cohen, “Superluminal Motion and Cosmology,” The Astrophysical Journal, 430:467-494,1994, August 1. In Table 1, a Compilation of Internal Proper Motion lists 66 extra-galactic sources with multiepoch observation with a maximum at 26 c.