In the 1969 edition of History of Rocketry & Space Travel by Wernher von Braun and Frederick I. Ordway III, the following statement is made concerning Apollo 11:
The approach to the Moon was so precise that the midcourse correction scheduled for 8:26 a.m. (EDT) on the 19th was cancelled. At a distance of 43,495 miles from the Moon, Apollo 11 passed the so-called "neutral" point, beyond which the Lunar gravitational field dominated that of Earth.
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The problem with all of this is, a neutral point of 43,495 miles would make the moon with not 1/6th (16%) the Earth's gravity, but 64%.
Encyclopedia Britannica reported the neutral point to be 20,520 miles from the Moon.
A Moon with 1/6 Earth's gravity should have a Neutral Point between 22,078 - 25,193 miles from the Moons surface.
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